Fractured Fairy Tales - Fractions & Decimals.pdf

8/9/2019 Fractured Fairy Tales - Fractions & Decimals.pdf

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Fractured Fairy TalesFractions & Decimals

by Dan Greenberg

New York Toronto London Auckland SydneyMexico City New Delhi Hong Kong Buenos Aires

Fractured Fairy Tales: Fractions & Decimals Dan Greenberg, Scholastic Teaching Resources


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Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book forclassroom use. No other part of this publication may be reproduced in whole or in part, or stored in a retrieval

system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, orotherwise, without written permission of the publisher. For information regarding permission, write to

Scholastic Inc., 557 Broadway, New York, NY 10012.

Cover design by Maria LiljaCover illustration by Doug JonesInterior design by Kelli Thompson

Interior illustrations by Mike Moran

ISBN 0-439-51900-4

Copyright 2005 by Dan Greenberg. All rights reserved.Printed in the U.S.A.1 2 3 4 5 6 7 8 9 10 40 12 11 10 09 08 07 06 05



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Contents

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Princess P Speaks Out (CONCEPT OF FRACTIONS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Interview With a Dragon (SIMPLIFYING FRACTIONS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Cow Gets a Boat (ADDING & SUBTRACTING FRACTIONS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Gingerbread Boy to Make Pro Debut (MIXED NUMBERS & IMPROPER FRACTIONS) . . . . . . . . . . . 14

Why Cow Is Slow (ADDING & SUBTRACTING WITH UNLIKE DENOMINATORS) . . . . . . . . . . . . . . . . . . 16

Red Riding Hood (ADDING & SUBTRACTING MIXED NUMBERS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18

The Magic Parking Space (SUBTRACTING MIXED NUMBERS WITH RENAMING) . . . . . . . . . . . . . . . . . . . 20

Sheep Gets a Scholarship (MULTIPLYING WITH FRACTIONS). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

The Magic Racket (MULTIPLYING WITH MIXED NUMBERS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

The Ugly Dumpling (DIVIDING WITH MIXED NUMBERS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

King Doofus and the Bad Rock (FRACTIONS & DECIMALS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

Bed-Time Live: Cinderella (ORDERING FRACTIONS & DECIMALS). . . . . . . . . . . . . . . . . . . . . . . . . . . 30

Judy Echo and Chuck Narcissus, Part 1 (MENTAL MATH: MULTIPLYING WITH DECIMALS) . . . . . 32



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Contents

Judy Echo and Chuck Narcissus, Part 2 (MENTAL MATH: DIVIDING WITH DECIMALS). . . . . . . . 34

The Royal Ninny (ROUNDING & ESTIMATING DECIMALS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

Channel F Presents the Kissing Olympics (ADDING & SUBTRACTING DECIMALS) . . . . . . . . . . . . 38

The Genie and the Three Wishes (MULTIPLYING DECIMALS). . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40

The Baa Baa Report (DIVIDING DECIMALS). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

The Quest for the Holly Gray-L (ROUNDING DECIMAL QUOTIENTS). . . . . . . . . . . . . . . . . . . . . . . 44

Wolf Guarding Henhouse to Resign (PERCENTS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

Great Hero and Total Coward (FRACTIONS, DECIMALS & PERCENTS). . . . . . . . . . . . . . . . . . . . . . . . 48

Why Owl Is Wise (FINDING PERCENTS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

Milton Bisk, Real Estate Agent to the Stars (PERCENT OF A NUMBER). . . . . . . . . . . . . . . . . . . . 52

Fairy Land Annual Poll (PERCENT PROBLEMS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54

Wicked Witch of the South to Retire! (SOLVING PROBLEMS WITH PROPORTIONS) . . . . . . . . . . . 56

Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58



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Introduction

5

The 25 stories inFracturedFairy Tales: Fractions &

Decimals all have a single

purpose: to teach fractionsand decimals in an entertainingyet mathematically rigorouscontext. The stories themselvesare based on familiar fairy

tales, fables, and related concepts. However,theyve all been transformed into something newand, we hope, very funny. For example, theGingerbread Boy appears as a pro-football rookie,while Baa Baa Black Sheep is a hard-boiled crimereporter, and Little Red Riding Hood is a hiptrumpet player looking for a recording contract.

Each story serves as a launching pad into akey mathematical concept. The book begins byintroducing the concept of fractions, and usesvisual examples to reinforce students under-standing of the material. From there, individualstories progress in skill level, moving throughmixed numbers and improper fractions, to orderingfractions and decimals, to rounding decimals, and

finally, to finding equivalent fractions, decimals,and percentsall the while using the basicoperations: addition, subtraction, multiplication,and division. Each story provides model problemsfor students to work through before they begintheir own computation.

Simple word problems as well as more complexproblem-solving exercises are provided through-out the text. Weve also included special topicssuch as subtracting mixed numbers with renaming,

as well as solving multistep and proportionproblems. Special emphasis in the book is placedon mental math and estimation, encouragingstudents to use these skills as checks for allkinds of calculations. You will find a completeanswer key that starts on page 58.

We recommend the following ways to use theseactivities in the classroom:

Whole class participation, in which students orthe teacher read the story aloud, solve one ormore model problem examples, and then solveproblems individually.

Small group participation, in which 2 to 5

individuals work together to master the material

Individual participation, in which students read

the stories and solve the problems on their own.

We encourage students to engage the storiesdirectly by writing their own responses, commentsand/or questions to events that take place in thetext. One fun, cross-curricular option might havestudents write their own fractured fairy tales tocomplement the stories that they have read.

Overall, the stories in this book are intended toappeal to all kinds of learnersincluding studentsnot easily motivated by traditional textbooks

making math learning fun and accessible for all.



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NCTM Standards Grid

7

snoitarepOdnareb

muN

arbeglA

yrtemoeG

tnemerusaeM

ytilibaborPdnasisyl

anAataD

gnivloSmelborP

foorPdnagninosaeR

noitacinummoC

snoitcennoC

noitatneserpeR

Princess P Speaks Out

Interview With a Dragon

Cow Gets a BoatGingerbread Boy to Make Pro Debut

Why Cow Is Slow

Red Riding Hood

The Magic Parking Space

Sheep Gets a Scholarship

The Magic Racket

The Ugly Dumpling

King Doofus and the Bad Rock

Bed-Time Live: Cinderella

Judy Echo and Chuck Narcissus, Part 1

Judy Echo and Chuck Narcissus, Part 2

The Royal Ninny

Channel F Presents the Kissing Olympics

The Genie and the Three Wishes

The Baa Baa Report

The Quest for the Holly Gray-L

Wolf Guarding Henhouse to ResignGreat Hero and Total Coward

Why Owl Is Wise

Milton Bisk, Real Estate Agent to the Stars

Fairy Land Annual Poll

Wicked Witch of the South to Retire!e

XX

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XX

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XX

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XXXXXX

XX

XXXXXXXXX

XXXXXXXX

XXXXXX

XX

XXXXXXXXXXXXXXXXX

XXXXXX

XX

XXXXXXXXX

XXXXXXXX

XXXXXX

XXXX

XX

XXXXXX

X

XX

XXXXXXXXX

XXXX

XXXX

X

X

XX



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Concept of Fractions

8

Name ________________________________________________ Date ___________________

Princess P Speaks Out

A GazetteExclusiveby Princess P

Youve all seen theheadline: PEA UPSETSSLEEP OF SPOILEDPRINCESS. Well Im theso-called spoiled princess.Let me say just one thing.

Its not what you think.Thats right. Oh sure, Ill

admit, Im spoiled. Hey,Im aprincess! Its myjobto be spoiled.

But heres how thisthing with the pea allstarted. Mikes Mega-Mattress Superstore waslooking to promoteits new Soop-R-Pedicmattress.

So who better toget as a spokespersonthan yours truly

a glamorous and verypampered princess. If

someone as picky and coddled as I amcan get a good nights sleep on thisSoop-R-Pedic mattress, imagine how

normal folks might feel!Or something like that.

Here are some peas for the princess.What fraction of the peas are dark?What fraction of the peas are light?

Three out of 5 peas are dark, or .

Two out of 5 peas are light, or .

1. Here is a second group of peas. Whatfraction of this group is dark?

___________________________________

2. What fraction is light?

___________________________________

So things are going fine. Im snoozingaway on the mattress. Mikes Mega-Mattress is filming the whole thing fortheir upcoming commercial. And then astrange thing happens: I start hearingthese QUACKING noises.

And Im like,Hunh?

2-

5

3-

5

Model



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Concept of Fractions

Name ________________________________________________ Date ___________________

9

But when I look around, the whole castleis quiet. So I try to go back to sleep and thesame thing happens again: QUACKING.

Hey, whats going on here?

In any event, I cant sleep. The nextmorning, everyone from Mikes is furious.It couldnt be the fault of their mattress, theyinsist. So they investigate, and sure enough,what do they find under the mattress? A

single PEA. Thats why I cant sleep!The next morning, its in all the head-

lines: SINGLE PEA SPOILS SLEEP OFSPOILED PRINCESS. All the nasty namesthey called me: SNOB. SNOOT. NINNY.Youd think Id have committed a crime.

It didnt dawn on me that something wasfishy until two days later. Castle securitywas doing a routine check when they foundthat the so-calledpea was actually an elec-tronic transmitter! And the quacking was

being broadcast to keep me awake!Who would do this? you ask. Try Nancys

Nighty-Night Bed Shop, Mikes arch rival.They wanted to make Mikes look badandthey succeeded.

And so whats the upshot of all this?Youre not going to believe it. Mikes madand Nancys Nighty-Night is in trouble. Athird mattress store, Sweet Dream Sids, hasoffered me a deal presenting the Super-Deluxe Princess Personal Pea Mattress.

Each Personal Pea Mattress comes withits ownpea. Thats right, under each mattresstheyre putting a single pea that the customermay or may not remove after the sale.

Is that a good gimmick or what?

THE END

3. What fraction of the ducks are dark?

___________________________________

4. What fraction of the ducks are light?

___________________________________

5. What fraction of the bar is colored in?

___________________________________

6. What fraction of the bar is not colored in?

___________________________________

7. Draw a group of peas to represent

the fraction .

8. Draw a group of peas to represent

the fraction .3-

7

3

-

4



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Simplifying Fractions

10

Name ________________________________________________ Date ___________________

Interview With a Dragon

Hello, and welcome to The Big Interview on

Channel F, the Fairy Tale Channel. Im Pillow

Jones, your host. Tonight on F, an interview

with Chester, the Fire-Breathing Dragon.

Pillow: Good evening, Sir Dragon. Lets start atthe beginning. How long have you beena dragon?

Dragon:Almost my entire career. I started out as

a hideous monster. But then I quicklydecided that being hideous was not whatI wanted to do. I wanted to be a dragon.

Pillow:Any particularkind of dragon?Dragon: Yes, the fire-breathing kind that frightened

whole villages and destroyed large castles.

Pillow:And do you feel youve achieved that goal?Dragon: More or less. Though I dont think people

are quite as scared of dragons as theyused to be.

Pillow:And why is that?Dragon: I dont know. Video games? Overexposure?Im not sure.

Pillow: Do others seem to feel this way as well?Dragon: To a large degree. Ive talked to my good

friend Godzilla about it, and he seems tothink it has something to do with cableTV. Again, Im not sure.

Four of every 6 dragons enjoys breathing fire.

Write the fraction in simplest form.To simplify, divide both top and bottom by thesame number.

= =

Always try to divide by the largest numberpossible.

Write the fraction in simplest form.

= =

Write each fraction in simplest form.

1. _______

2. _______

3. _______

4. _______

5. _______

6. _______6-

8

412

510

3-

9

2-6

3-

6

?-?

2 ?4 ?

2-4

2-

4

2-

34 26 2

4-

6

4-

6

Model



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Simplifying Fractions

11

Name ________________________________________________ Date ___________________

7. _______

8. _______

9. _______

10. _______

1 1 . _______

12. _______

13. _______

14. _______

15. _______

16. _______

Pillow: Whats your favorite thing to do asa dragon?

Dragon: Hmm, thats a toughie. Im not sure whereto start. I adore burning the straw rooftopsoff cottages with my fiery dragon breath.And I love the look on a knight in shiningarmors face when he realizes how inde-structible I am.

Pillow: Sounds like you enjoy being a dragon.Dragon: I do. I love it, because its fun. Each day

is different. You have something new to

destroy or someone new to scare.Pillow:Any regrets about your career?Dragon: Oh sure. Just once, Id like to see the

forces of evil come out on top. I mean,this whole thing is getting ridiculous.Just once, Id like to see someone likeme or Godzilla standing tall at the endof the day instead of lying in the dust.

Dragon: Is that your dream?Pillow: Id say so. Sure.

Dragon:Thank you very much, Chester. Its beeninteresting.

Pillow: Yes it has. Thank you. And to all my fansout there, thank you for your support!

THE END

To write a fraction in its simplest form, you mayneed to simplify more than once.

= = =

Write each fraction in simplest form. Simplifymore than once if necessary.

17. _______ 18 . _______

19. _______ 20. _______2456

3280

16

40

16

24

1-

52 210 2

2-

1012 660 6

1260

2530

820

1421

1216

520

816

1215

912

1015

812

Model



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Adding & Subtracting Fractions

12

Name ________________________________________________ Date ___________________

Cow Gets a Boat

One day when Cow went down to the river sheran into Crocodile, who offered to sell her a boat.

A boat? Cow said. What would a cow dowith a boat?

Oh, youll love life on the river, Croc said.I can introduce you to some of my river pals.Theyre quite an amusing bunch.

Hmm, thought Cow. Back in the field, shehad never thought of her cow friends as veryamusing. In fact, many of them seemed down-right dull.

Now, buying a boat didnt seem like a bad idea.Ill take it, Cow said.The next day, Cow packed a picnic basket

containing lots of delicious hay sandwiches and

went out to the river. At the boat launch, guesswho Cow ran into?

Crocodile! Cow cried. My old friend. Howgoes life on the river?

Croc frowned. Do I know you? he asked.Of course! said Cow. Im Cow. I bought this

boat from you, remember? You were going tointroduce me to some of your amusing river pals.I brought hay sandwiches for everyone.

Oh right, said Croc. Well, as you can see, Im

sort of busy right now.But Croc and his pals didnt seem busy. Theywere just lolling around in the shallow water.

So Cow went off by herself in her new boat.After a while, she began to enjoy herself, whenshe suddenly heard some frantic splashing andshouting.

Help! cried a familiar voice.Who is it? cried Cow.

In her picnic basket, Cow brought two hay

sandwiches weighing of a pound each.How much do two sandwiches weigh all together?

+ =

How much do sandwiches weighing of a pound

and of a pound weigh in all?

+ = 7 5 = 1 pounds

Find each sum or difference.Write each fraction in simplest form.

1. + = _______

2. = _______

3. + = _______

4. = _______

5. + = _______

6. + = _______1-

65-

6

8-

95-

9

4-

76-

7

1-

43-

4

1-

54-

5

2-

32-

3

2-5

7-5

4-5

3-5

4-

5

3-

5

4-

52-

52-

5

2-

5

Model



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Adding & Subtracting Fractions

13

Name ________________________________________________ Date ___________________

7. = _______

8. = _______

9. + = _______

10. + = _______

1 1. + = _______

12. = _______

Its me, Crocodile, said the voice. Im stuckin a net!

Do I know you? asked Cow, with one eye-

brow raised.Of course, Croc said. I sold you your boat.

And a fine boat it is. Arent you enjoying it?Very much, said Cow. But werent you going

to introduce me to some of your amusing friends?Oh, of course! said Croc. As soon as you get

me out of this net. Im sure theyll all like you.At this point, Cow had to decide: should she

help Croc out of the net or not?Cow untangled the net. Croc swam free.As Cow headed toward home, Croc cried,

Wait! Dont you want to meet some of myfriends now? Theyre quite a lively bunch.

No, Cow said. I have my own friends.That evening, back in the barn, Cow told the

rest of the herd about her adventures on the river.Suddenly, the other cows didnt seem so dull

after all.

THE END

How much do two sandwiches weighing pound

and pound weigh altogether? In this,the sum must be simplified more than once.

+ = = 1 1 = 1

Find each sum or difference. Write each fraction

in simplest form. You may need to simplify

after adding.

13 . + = _______

14. = _______

15. + = _______

16. = _______2-

95-

9

5-

6

5-

6

3-

87-

8

3-

43-

4

1-

24 48 4

4-

812-

812-

87-

85-

8

7-

8

5-

8

4-

98-

9

917

1517

513

1013

2-

54-

5

215

1115

611

811

Model



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Mixed Numbers & Improper Fractions

Name ________________________________________________ Date ___________________

Sports

14

Gingerbread Boy toMake Pro Debut

Will the Cookie Rookie Crumble?by Itsy B. Spider

Around football trainingcamp hes known simply asG-Boy. And theres no doubtthat this Gingerbread Boy can

run. How fast is this rookie cookie? BaytownBrutess coach Tom Roach said:

The kid runs rings around our otherwide receivers.

Indeed, Gingerbread Boy was clocked

running the 40-yard dash in of a second.

Compare that to the 4 second times turned

in by normal wide receivers, and youll see

just how fast this rookie is.But can a cookieplay big-time professional

football?Thats the $64,000 question, Coach

Roach said. Weve never had a cookie playon our team before.

Indeed, no cookies, cakes, pies, strudels,cinnamon buns, or pastry products of anytype have played in the league since runningback Cookie Gilchrist in the early 1960s,punter Jelly Roll Watson in the 50s, and tack-le William Bundt Cake Berry in the 30s.

One player ran the 40-yard dash in 4

seconds. What is 4 as an improper fraction?

Step 1: Multiply the whole number by the

denominator.Step 2: Add the numerator.Step 3: Write the sum over the same

denominator.

4 4 x 5 = 20 20 + 3 = 23

(Step 1) (Step 2) (Step 3)

Write each mixed number as an improperfraction.

1. 1 _______ 2. 2 _______

3. 3 _______ 4. 4 _______

5. 3 _______ 6. 5 _______

7. 9 _______ 8. 12 _______3-

82-

3

1-8

4-7

5-

61-

5

2-

31-

4

235

3-

5

3-

5

3-

5

2-

53-

5

Model



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Mixed Numbers & Improper Fractions

Name ________________________________________________ Date ___________________

15

You need to keep in mind, said G-Boysagent, Mom Macy, this kid is 100 percentgingerbread. But he ran away. He ran sofast I couldnt catch him. No one couldcatch him.

No one, that is, until Coach Roach of theBaytown Brutes offered Gingerbread Boya $2 million no-cut contract.

That got his attention in a hurry.

Hopes are high for the speedy rookie, butquestions remain. For one: Is GingerbreadBoy tough enough?

This is one tough cookie, said CoachRoach. If he were, for example, a chocolatechip cookie or a ginger snap Id have mydoubts. But this is a cookie who candefinitely play with the big boys.

The coachs big worry? G-Boys weight.

At only ounces, G-Boy weighs only a

fraction of a pro wide receiver that weighsin at a solid 195 pounds.

But hes well put-together for a cookie,

said Mom Macy. I know because I made

him myself.

This reporters opinion? This Cookie

Rookie may well put it all together. But

what happens when a 250-pound linebacker

lays into that soft gingerbread dough?

Will he cave?

Will his act get stale?

Will the cookie rookie crumble?

Stay tuned, folks. Its going to be an

interesting season.

THE END

What is the Gingerbread Boys weight,ounces, as a mixed number?Step 1: Divide the numerator by the

denominator.Step 2: Write the remainder as a fraction.

23 8 6

2

Write each improper fraction as a mixednumber.

9. _______ 10. _______

11. _______ 12. _______

13. _______ 14. _______

15. _______ 16. _______

17. _______ 18. _______10023

5011

1513

254

207

103

9-

47-

3

5-

43-

2

2-

3

8-

3

8-

3

Model



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Adding & Subtracting With Unlike Denominators

16

Name ________________________________________________ Date ___________________

Why Cow Is Slow

A long time ago, Cow was a lot more speedythan she is today. Actually, Cow was quite sleekand beautiful. In fact, Cow was so sleek and

beautiful that everyone was always chasingafter her.

After a time, Cow began to wish she could bea little less sleek and be left alone. But to noavail, until she met the Good Cow Fairy.

Oh, Good Cow Fairy, Cow said. I am tiredof being the way I am. I wish I could be some-thing else.

Your wish is my command, said the GoodCow Fairy, who was also known as the GCF.

Sure enough, the GCF turned Cow into aprincess, a sleek and beautiful young princess.And soon she was being chased by a host ofdull young princes.

There was Prince Drudge, who droned onand onalways talking about himself, neverasking a single question about her.

Do you find me dull? the Prince asked.Yes! replied Princess Cow.There was Prince Boast, who spoke only of

his own achievements, which were not very

great or interesting.Do you find me stuck up? asked Boast.Extremely! replied Princess Cow.There was Prince Cash, who endlessly talked

of budgets, pie charts, statistics, and othermoney matters.

Are you listening to me? he asked, afteranother long economic session.

No! cried the princess, enthusiastically.

Prince Drudge talked for of an hour about his

sock collection. Then he talked for of an hourabout his new haircut. How long did he talk in all?

+ =

Step 1: Find the least common multiple (LCM) ofthe two denominators, 4 and 6.

4: 4, 8, 12 , 16 6: 6, 12 , 18 LCM = 12

Step 2: Use the LCM as your lowest commondenominator (LCD).

= =

+

= =

Step 3: Add the products.

Answer: He talked for of an hour.

Find the LCM for each fraction pair.

1. , _______ 2. , _______

3. , _______ 4. , _______3-

43-

83-

51-

3

1-

21-

42-

31-

2

5-

12

5-

12

2-

12

3-

12

2-

121 x 26 x 2

1-

6

3-

121 x 34 x 3

1-

4

1-

61-

4

1-

4

Model

1-

6

This time, to get thenew denominator, 12

multiply 6 by 2.Remember to multiplythe numerator by the

same number.

To get the newdenominator, 12,multiply 4 by 3.

Remember to multiplythe numerator by the

same number.

+



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Adding & Subtracting Mixed Numbers

18

Name ________________________________________________ Date ___________________

Red Riding Hood

Once upon a time there was afabulous trumpetplayer named Red Riding Hood. Red had an okayrecording contract with O.K. Records. But anothercompany named Lone Wolf, Inc. was trying to getRed to sign with them.

One day Reds manager Doggie Jones got a call

from a hot night club named Grannies.Dig it, Doggie said. (Doggie spoke a strangelanguage called Hip Talk.) Youve got a fat gig atGrannies.

(Translation:Red had a musical job.)You better split, like yesterday, Doggie said.(Translation: Go there right away.)So Red hailed a cab. The driver looked familiar

to her.Greetings, he said. Where you headed?To Grannies, Red said. Ive got a musical

gig there. I play trumpet.Youre pulling my leg, the driver said.No Im not, Red said, but she did notice that

he had four of themlegs, that iswhich wasunusual for a cab driver.

Red was scheduled to play two sets at Grannies

lasting 3 hours and 2 hours. How long wouldshe play in all?

Step 1: Add whole numbers and fractions separatelyUse the LCD.

3 = =

+

2 = =

5

Step 2: Change from an improper fraction to afraction. Add.

5 + = 5 + 1 = 6

Calculate and write each fraction in simplest form.

1. 2 2. 4

+ 3 + 1

3. 6 4. 5

+ 2 + 43-

41-

4

5

-

84

-

5

5-

82-

5

3-

81-

3

7-

127-

1219-

12

19-

12

19-12

10-

125 x 26 x 2

5-

6

9-

123 x 34 x 3

3-

4

5

-

63

-

4

Model



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Adding & Subtracting Mixed Numbers

19

Name ________________________________________________ Date ___________________

5. 7 6. 3

6 + 4

7. 6 8. 10

+ 9 7

The driver dropped Red off at Grannies. Ittook awhile for Grannie to come out. Granniewore cool shades over his eyes and a pork-piehat that covered half his face.

Hello, Grannie, Red said. Im Red RidingHood, the trumpet player. Do you speak Englishor Hip Talk?

Both, Grannie said. Come closer so I can digyour vibes.

Red came closer. In fact, she came so closethat she could actually see the recording contractson Grannies desk.

Oh Grannie, what a lot of contracts youvegot, Red said.

The better to sign up new talent with,Grannie said.

Red looked at the dollar amounts on thecontracts.

Oh Grannie, Red said, what big contractsyouve got.

The better to lure talent away from two-bitcompanies like O.K. Records with, Grannie said.

Red looked at the name on the top of thecontracts:Lone Wolf.

Oh Grannie, Red said, what a well-knownrecording company you represent.

The better togobble you up! Grannie said,lunging forward so his sunglasses and hat fell off.

Hey, youre not Grannie! Red cried. Yourethe cab driver.

Without missing a beat, the driver handed Redhis card, which revealed that he was really GeorgeWolf, President of Lone Wolf Records, Inc.

And with that, the two proceeded to call theirlawyers. In a short time, they were able to hammerout a recording contract that made Red RidingHood a very wealthy and happyyoung musician

The moral of the story? Sometimes its not sobad to get gobbled up!

THE END

9. On her CD, Reds recording of her new song,What Big Eyes Youve Got, lasted 6 minutes.

The live version of the song lasted 7 minutes.

How much longer was the live version?

________________________________________

10. Each night, Grannies featured a comedyperformance that lasted 1 hours and a singer

who sang for 1 hours. How long did these

two performances last in all?

________________________________________

11. Reds 31 inch trumpet was 2 inches shorterthan the trumpet played by Slim Charlie Perkins.

How long was Slim Charlies trumpet?

________________________________________

12. Slim Charlie put a 36 inch belt around his23 inch waist. How much bigger was the

belt than Slims waist?

________________________________________

7-

8

1-

23-

8

5-

8

3-

8

715

5-

8

4-

5512

4-

55-

9

310

4-

5

2-

3

3-5

112



20/64

Subtracting Mixed Numbers With Renaming

20

Name ________________________________________________ Date ___________________

The Magic Parking Space

Wanda was a waitress at Cha-Chas Grille. She

worked hard for her money. So when Wanda hadfinally saved up enough to buy a car, she wasproud of herself.

She was also very happy with the car, until itwas time to park the thing. Cha-Chas was locatedright downtown, so there wasneveranyplace topark. It seemed like Wanda would drive aroundforever, searching for a spot. In fact, one evening,it took so long that Wanda arrived late at therestaurant. She rushed over to Table 3 where herfavorite customer, Mr. Ponds, was waiting.

Im sorry Im late, Wanda said. It wonthappen again.

You can say that again, Wanda, Mr. Pondssaid. You wont everneed to worry about a parkingspace again.

Wanda smiled. Mr. Ponds, a sweet gentleman,was kind, considerate, and an excellent tipper!But how could heguarantee a parking space?Nobody could do that.

Nonetheless, the next day the only parking

space available on the street was much too small,but somehow Wanda fit right into it! Like magic!

When Wanda got to Cha-Chas, Mr. Ponds waswaiting. Youll never guess what happened,Wanda said.

You found a parking space, Mr. Ponds said.Why yes, said Wanda. How did you know?

Mr. Ponds smiled.

A parking space measures 14 feet in length. How

much extra space will a 12 foot long car havein this space?

Step 1: Think of 14 as 13 + 1.

14 = 13 + 1

12 = 12

Step 2: Change the 1 to . Subtract.

13

12

1 feet

Calculate and write each fraction in simplest form.

1. 5 2. 4

3 1

3. 6 4. 5

2 1 3-4

1-4

5-

81-

2

1-

3

2-

3

3-3

3-

3

2-

32-

3

2-

3

Model



21/64

Subtracting Mixed Numbers With Renaming

21

Name ________________________________________________ Date ___________________

5. 10 6. 13

7 4

7. 16 8. 10

9 7

The same thing happened for the next fivedays. Each day, Wanda somehow was able tofit into a parking space that no other car couldfit into.

This was getting spooky.Finally, Wanda came to Mr. Ponds and demanded

to know what was going on.Im your Fairy Parking Godfather, Mr. Ponds

said.FairyParking Godfather? Wanda said.Mr. Ponds explained. A Fairy Parking

Godfather was just like any other Fairy Godfather.But his powers were limited to parking spaces.

Its just my luck, Wanda said. Of all themagical spells in the world that might make aperson rich or powerful or famousthis is whatI get: amagic parking space.

Mr. Ponds laughed, What can I say? As a FairyParking Godfather, I may not make you rich orpowerfulbut I do give something that even the

rich and powerful dont always havea place toput your car. And when you think about itthatsnot bad.

So Wanda did think about it, and she decidedthat Mr. Ponds was right. A good parking spacewasnt bad. It wasnt bad at all.

THE END

Wanda worked 8 hours on Wednesday. She

worked 5 hours on Thursday. How much longerdid she work on Wednesday?

Step 1: Find the LCD.

8 = 8

5 = 5

Step 2: Think of 8 as 7 + 1 or 7 . Combine with 8 = 7 + + = 7

5

Step 3: Subtract and simplify.

7

5

2 = 2 hours

Find each difference. Simplify.

9. 6 10. 3

4 1

1 1 . 5 12. 9

3 15-

7710

314

2-

5

3-

42-

3

1-

41-

3

1-

23-

6

5

-

6

8-

6

5-

6

8-

62-

66-

62-

6

2-

6

6-

6

5-

65-

6

2-

61-

3

1-

3

715

5-

8

4-

55-

9

Model

5-

6



22/64

Multiplying With Fractions

22

Name ________________________________________________ Date ___________________

Sheep Gets a Scholarship

Once there was a Sheep who

was a very good student inSheep School. She did well inall of her school subjects,including Reading, Writing,Math, and Grazing.

So when it came time for college, Sheep got allsorts of excellent offers. Sheep State College andGoat Tech both offered small scholarships. WolfUniversity, on the other hand, offered a full scholar-shipall expenses paid.

Wolf University? Sheep thought. Why wouldthey want me? Wolf was one of the finestandmost expensiveschools in the country.

Because youre a sheep, Wolfs Dean ofAdmissions told her, when she called to find out.

But what would I do in a school for wolves?Sheep asked.

We have a fine swimming pool, the Deantold her.

Sheep dont swim, Sheep said.Our Hunting program is top-rated, said

the Dean.Sheep dont hunt, Sheep said.Why dont you come and visit the campus?

the Dean said. Then you can see for yourself.So Sheep came to visit. How well she was

treated! All of the campus big-wigs came tosee her.

Youll fit in great here, they all told her.Where are all the other sheep? asked Sheep.Oh, theyre probably in their rooms studying,

the Dean said.

At the end of her visit, the Dean took Sheep toa beautiful pasture in the center of the campus.

If you come to Wolf U, the Dean said, thisentire pasture will be yours. All yours.

This was impressive. At Sheep State and GoatTech, Sheep would need to share a pasture withmany others.

At Sheep State, of a 20-acre field were reservedfor the freshman sheep. How many acres did thefreshman get in all?

Step 1: Write the problem.

20 x =

Step 2: Write whole numbers over 1.

x =

Step 3: Simplify, if possible.

4

x =1

Step 4: Multiply. Simplify again, if necessary.

4

x = = 8 acres1

Find each product.

1. 10 x = _______ 2. 15 x = _______

3. 21 x = _______ 4. 18 x = _______1-6

2-3

1-

31-

2

8-

1

2-

5

20

1

2-

5201

2-

5

20

1

2-

5

2-

5

Model



23/64

Multiplying With Fractions

23

Name ________________________________________________ Date ___________________

5. 15 x = _______ 6. x 24 = _______

7. 36 x = _______ 8. x 32 = _______

At Wolf U, of the pasture was given to thesheep. The sheep used of this area for grazing.What fraction of the pasture did they use forgrazing?

Step 1: Write the problem. Look for the commonfactors of the numerator of one fraction and thedenominator of the other fraction.

x =

Step 2: Find the greatest common factor.

GCF: 6: 2, 3 , 6 9: 3 , 9 (GCF = 3)

Step 3: Now simplify, using the GCF.

2

x =3

Step 4: Multiply the numbers that are left.

x =

Find each product. Make sure that your answersare in simplest form.

9. x = _______ 10. x = _______

11. x = _______ 12. x = _______

13. x = _______ 14. x = _______

15. x = _______ 16. x = _______

17. x = _______ 18. x = _______

As Sheep began to graze on the rich grass, shesuddenly heard a sound.

What was that? she said. It sounded likea howl.

Oh, dont be ridiculous, said the Dean. It wasprobably just some sophomores playing a prank.

I think Id better go now, said Sheep.

Sheep made her decision that night when shegot home. Sheep State perhaps did not have thebest library or the best swimming pool or herown private pasture. But somehow, Sheep feltthat she would fit in better there.

And she was right.

THE END

7

45

27

28

25

42

14

15

532

2425

724

1621

9

25

10

27

10

21

14

15

815

512

2-

71-

3

4-

95-

65-

72-

5

10-

212-

75-

3

6-

75-

9

6-

7

5-

9

5-

9

3-

85-

6

3-

43-

5

6-

7

Model

6 3

9 3



24/64

Multiplying With Mixed Numbers

24

Name ________________________________________________ Date ___________________

The Magic RacketGigi had always been some-

thing of a daydreamer. So

when she and her friendPumpkin went to see tennischamp Martina Jones play amatch, guess what happened?After the match, the champtossed her souvenir racketinto the crowd. Guess whocaught it? Gigi!

Oooh, bee-yoo-tiful! cooedPumpkin. What a racket!

Gigi was convinced that theracket was magic. And that if she played with thisracket, no one would beat her.

No one!There was only one problem.You dont even know how toplay tennis,

Pumpkin reminded her friend.

Suppose Gigi practices tennis 2 hours a day

for 6 days a week. In all, how many practicehours is this?


2 x 6 =

Step 2: Change mixed numbers to improperfractions.

x =

Step 3: Simplify, then multiply.

2

x = x = 16 hours


1. 1 x 4 = _______ 2. 2 x 6 = _______

3. 8 x 4 = _______ 4. 10 x 1 = _______

5. 1 x 3 = _______ 6. 1 x 12 = _______

7. 4 x = _______ 8. 2 x = _______

That was no big thing, Gigi insisted. After all,she could learn. She could picture it all right nowa bright day, a cheering stadium, a stunning vic-

tory in the World Championships using her

magic racket.Game!Set!Match!From there shed have endorsements, movie

contracts, the whole enchilada. Of course, shewould no doubt marry some handsome tennis

pro along the way, and they would have a child.And of course, the time would come when the

champion would pass along the magic racket toher young daughter.

I want to show you something, darling, sheheard herself say to her imaginary daughter. I

got this racket from a great champion many

years ago.

3-

57-

95-

64-

5

3-8

1-6

2-

51-

2

1-3

1-4

2-

18-

16-

18-

3

6-

18-

3

2-

3

2-

3

Model

1



25/64

Multiplying With Mixed Numbers

25

Name ________________________________________________ Date ___________________

And of course, as children often do, the littleone would make a grab for the famous racket.

No,no,no, darling! Gigi would say to thebeautiful imaginary child, pulling the racket awayrather briskly.

And of course, the actual racket Gigi was hold-ing in her hand all this time while she was day-dreaming was NOT imaginary at allit was real.

And as she jerked it away from her imaginedchild, this very real (but perhaps not so magical)racket knocked into the fence, fell out of Gigishand, and bounced down the steps, making aseries of horrid clunks that sent a burst of brokenstrings in all directions.

Oh my goodness! cried Pumpkin. You brokeyour magic racket! Too bad!

Too bad indeed. Though Gigi didnt say it,quite a bit more than a mere racket had justbeen broken.

THE END

Gigi drank 2 bottles of Vita-Pro Health Waterduring her first tennis match. Each bottle contains9 ounces. How many ounces did Gigi drink?


2 x 9 =

Step 2: Change mixed numbers to improperfractions.

x =

Step 3: Simplify, then multiply.3 7

x = 21 ounces1 1


9. 3 x 4 = _______ 10. 3 x 3 = ______

1 1 . 1 x 1 = _______ 12. 1 x 1 = ______

13. 3 x 3 = _______ 14. 2 x 3 = ______

15. 1 x 2 = _______ 16. 9 x 2 = ______

17.After practice, Gigi ate 2 bags of Health-NutTrail Mix. Each bag contained 1 ounces of

Trail Mix. How many ounces of Trail Mix didGigi eat?

________________________________________

2-

5

110

1-3

2-

7516

3-

52-

98-

93-

5

1-

51-

93-

45-

7

1-8

1-5

1-2

1-3

283

9-

4

2839-

4

1-

31-

4

1-

3

1-

4

Model

1-

6



26/64

26

Name ________________________________________________ Date ___________________

ModelThe Ugly Dumpling

It was soup time in the kitchen. One by onethe dumplings plopped into the steaming broth.Here was a nice one, another nice one, a third, afourthexceptwhat was this? One of thedumplings was incredibly ugly!

An ugly dumpling. How ugly was this dumpling?It doesnt look like any dumpling I know, said

one of the big dumplings.It looks like a monster from outer space,joked another.

What do you know about monsters fromouter space? said a third. After all, youre onlya dumpling!

Indeed, dumplings were not known for theirbrains. Little more than flour, egg, and milk,dumplings were simple beings, but they did knowugly when they saw it.

And this dumpling was ugly!

So they laughed. They laughed and laughed atthis odd newcomer.

Only one dumpling took pity on the UglyDumpling. This kindly dumplings name was Jerry.

Youre not so bad, said Jerry. Ive never seena dumpling float so well. Whered you learn tofloat like that?

The Ugly Dumpling was quiet. Slowly, it startedto drift toward the other end of the pot.

I dont blame you, Jerry said. If the otherdumplings laughed at me, Id leave too.

Jerry paused. You know, he said, I read astory once about an Ugly Duckling. It grew up tobe a beautiful swan.

The Ugly Dumpling didnt say anything.And I know youll grow up to be beautiful

too, Jerry said. For a dumpling.Suddenly, the dumplings heard a voice: Soups

on everyone!

To make dumplings, the cook divided a 3 ouncepackage of flour into 5 equal scoops.How big was each scoop?


3 5=

Step 2: Change mixed numbers to improperfractions. Invert the divisor.

x


3

x = x = ounces1

Find each quotient. Make sure that your answersare in simplest form.

1. 2 = _______ 2. 1 7 = _______

3. 12 5 = _______ 4. 3 6 = _______

5. 2 5 = _______ 6. 2 4 = _______

7. 4 3 = _______ 8. 7 20 = _______1-

74-

5

2-

91-

7

3-

51-

2

3-4

2-3

3-

41-

13-

41-

515-

4

1-

515-

45-

115-

4

3-

4

3-

4

Dividing With Mixed Numbers



27/64

Dividing With Mixed Numbers

27

Name ________________________________________________ Date ___________________

It was the cook. All of the dumplings assembled,ready to be ladled.

Then the cook cried, There it is! Ive beenlooking all over for this kitchen sponge! It fellinto the soup.

The cook fished the Ugly Dumpling out ofthe pot and placed it on the counter.

Youre not an Ugly Dumpling! Jerry exclaimed.Youre a spongea kitchen sponge!

And so, the Ugly Dumpling was returned to thecountertop. And from then on, it lived a happylife, cleaning, wiping, and scrubbing, just like allof the other sponges.

But every once in a while, thoughts came to

mind of the time spent as a dumplingand ofJerryand of the steaming hot broth!

Every once in a while, but not too often.

THE END

The cook used a ladle that held 3 ounces toladle out a pot that contained 11 ounces ofsoup. How many times would the cook need toladle to empty the pot?


11 3 =

Step 2: Change mixed numbers to improperfractions. Invert the divisor.

x


7 1

x = x = = 31 2

Find each quotient. Make sure that your answersare in simplest form.

9. 6 1 = ______ 10. 2 1 = ______

11 . 2 1 = ______ 12. 2 1 = ______

13. 4 2 = _______ 14. 1 2 = ______

15. 1 1 = ______ 16. 1 1 ______

17. The cook mixed 22 ounces of dumplingdough. How many dumplings can he make that

weigh 1 ounces each?

________________________________________

18. How many 4 ounce bowls of soup can thecook pour from a pot that contains 26 ounces

of soup?

________________________________________

4-

9

1-

4

1-

2

421

3763

1332

1764

1-

71149

215

4-

5

2-

5110

1-

52-

5

1

-

2

1

-

4

2

-

3

1-

27-

21-

27-

13-

10353

3

-

1035310

-

3353

1-

32-

3

1-

3

Model

2-

3

2-

3



28/64

28

Name ________________________________________________ Date ___________________

King Doofus and the Bad Rock

Good King Doofus was not too bright. Whilehunting in the forest he saw a deer. He tried tocatch it, but it ran far ahead.

Hark! cried King Doofus. Why am I so slowand the deer so fast?

The king sat and thought about this for awhile.Then he came up with a reason: shoes and socks.Deer did not wear them. People did. So deerwere fast and people were slow.

I shall taketh off my shoes and socks, andthereby become as speedy as the deer, saidthe king.

So the king took off his shoes and socks andonce again dashed after the deer. Now, the deergot even farther ahead.

Plus, running barefoot, the king stubbed histoe on a rock!

Zounds! cried the King. That smarteth, bigtime!

When he returned to the castle, the king did

three things. First, he issued a royal decree:All animals in the kingdom must now weareth

shoes and socks at all times.Next, the king arrested the rock hed stubbed

his toe on. Finally, he had the rock locked up inthe royal prison.

Thatll teacheth you, bad rock! he said tothe rock.

The king stubbed his toe on a rock that weighed

3.7 kilograms. What is this weight as a fraction?To find the fraction equivalent to decimals, lookat the place value chart.

3.7= 3

_____ _____ _____. _____ _____ _____hundredths tens ones tenths hundredths thousandth

place place place place place place

100 10 1 0.1 0.01 0.001

The decimal 3.7 has a 3 in the ones place and a 7in the tenths place. So it is equal to 3 .

Here are some other examples:

0.7 = 4.5 = 4 603.8 = 603

0.07 = 4.05 = 4 60.38 = 60

0.007 = 4.005 = 4 60.038 = 60

Write each decimal number in fraction form.

1. 0.6 _______ 2. 1.4 _______

3. 0.2 _______ 4. 8.3 _______

5. 0.14 _______ 6. 2.65 _______

7. 0.37 _______ 8. 28.59 _______

9. 0.03 _______ 10. 2.004 _______

1 1 . 583.046 _______ 12 . 0.076 _______

381000

51000

71000

38100

5100

7100

8-

105-

107-

10

7

-

10

7-

10

Model

3 7

Fractions & Decimals



29/64

Fractions & Decimals

29

Name ________________________________________________ Date ___________________

Each day the king returned to the prison celland asked the rock:

Well, Master Rock, have you learned yourlesson?

The rock, of course, said nothing.One day the king announced:Ive had a change of heart, Master Rock. You

may have stubbed my toe, but Ive come to admireyour quiet and steadfast ways. Starting now, Ihereby freeth you and appoint you as the newPrime Minister.

The bad rock said nothing.So the king had it thrown back in prison.The pattern continued. In and out of prison

the bad rock went, never changing its silent,stubborn ways.

Finally, King Doofus grew tired of the wholeaffair, brought the bad rock back to the forest,tossed it on the ground, and said:

I wisheth I had never bumped into you in thefirst place.

The bad rock said nothing. (After all, it wasonly a rock!)

At this point, the king once again saw a deerrunning through the forest and gave chase. The

deer started to get away, but this time somethingwas differentsomething was slowing down thedeer. Over its hooves, the deer was wearing asmall, but well-made pair of shoes and socks.

Now Ive gotteth you! cried the king.

THE END

Another rock 2 kg. What is this number as

a decimal?

Use the place value chart to turn fractions intodecimals. Write a 2 in the ones place and a 3 inthe hundredths place. Since there are no tenths,write a 0 in the tenths place.

2 = 2.03

_____ _____ _____. _____ _____ _____

hundredths tens ones tenths hundredths thousandthplace place place place place place100 10 1 0.1 0.01 0.001

Write each fraction number in decimal form.

13 . _______ 14. 4 _______

15. _______ 16. 6 _______

17. _______ 18. 13 _______

19. 9 _______ 20. 241 _______

21. _______ 22. 2 _______

23. 376 _______ 24. 82 _______11000371000

41100

181000

3100

61000

45100

4100

310

24100

410

510

3100

3100

Model



30/64

Ordering Fraction & Decimals

30

Name ________________________________________________ Date ___________________

Bed-Time Live: CinderellaDid the Shoe Really Fit?

Pillow: Good evening, Im Pillow Jones and thisis the Fairy LandBTL Report. Tonight,

BTL investigates one of the mostbeloved fairy tales of all time:Cinderella. Her whole life was a fairytale. But now, a new question arises:

Did the shoe really fit? Im speaking toCroolene Vutch, one of Cinderellas so-called evil stepsisters. What about it,Ms. Vutch? Did the shoe fit?

Croolene: No way, Pillow. No way did THAT girlsfoot fit into THAT glass slipper. It justDIDNT happen. No way.

Pillow: May I ask you how you know that, Ms.Vutch?

Croolene: I was her evil stepsister, wasnt I? Youthink evil stepsisters dont know thesekinds of things? Of course we do!

Pillow: Next, we hear from Mike the coachdriver. Mike, you were last seen drivingCinderella home from the Royal Ball ina pumpkin.

Mike: I told her to get back before midnight.But did she listen? No! So there I am,driving a pumpkin! The guys down atthe garagethey still rib me about it.

The princesss glass slipper measured 24.07

centimeters. Which of these foot measurementswould fit exactly into the slipper?

24.7 24 24.007 24

First change all numbers to decimal. Then lineup the numbers and compare them.

24.7 = 24.700

24 = 24.070

24.007= 24.007

24 = 24.070

24.07 = 24.070

Circle the number equal to each bold-faced number

1. 2.4 2.04 2 2 2

2.4.5 4 40.50 4.050 4

3.0.6 0.60 0.060

4.2.13 2.130 2 2 2

5.4.07 4.7 4.70 4 470

100070100

1300

131000

13100

6100

610

50100

510

4100

40100

410

701000

7100

701000

7100

Model



31/64

Ordering Fraction & Decimals

31

Name ________________________________________________ Date ___________________

Pillow: What about Cinderella, Mike. Was thather slipper?

Mike: Beats me. Does it matter? I mean, shes

the princess now, and Im still drivin thiscrummy PUMPKIN!

Pillow: Now, please welcome Merlin. Can you tellus what happened that night?

Merlin:After the ball, Cinderella came in complain-ing of foot pain. She said shed been dancinga lot and her feet were swollen. So I gaveher a foot-shrinking potion.

Pillow: Heres the big question, Merlin. Did yourpotion shrink her foot beyond its normalsize? So she could fit into a glass slipper

that didnt really belong to her?

Merlin: Wow! Maybe youre right!Pillow: Do you realize what youre saying here,

sir? The princess who calls herselfCinderella might not be the REALCinderella?

Sneezy: (entering the room) Excuse me, but thisconversation is over.

Pillow: Who are you?Sneezy: Im Sneezy the Dwarf, attorney representing

Fairy Tale Inc. My client has an interest inStories With Happy Endings. Any informa-tion that knowingly spoils a happy endingwill be shut down immediately. Im puttinga gag on this storyNOW!

Pillow: But you cant do that! This isBTL, FairyLands most popular investigative show.

Sneezy: Oh no? You just watch me. Thats it everyone!Pillow: This is Pillow Jones, signing off for the

BTL Report. Im

Sneezy: Good night, everyone.

THE END

Merlin made following shoe-size measurements o

four different princesses in inches. Rank the measurements from small to large.

(a) 8.3 (b) 8.003 (c) 8 (d) 8

Change all numbers to decimal. Then line up thenumbers and compare them.

8.003 = 8.003

= 8.030

8.3 = 8.300

= 8.310

The correct order is b, c, a, d.

Rank each group of numbers from smallestto largest.

6. (a) 63 (b) 0.63 (c) 6.03 (d) 6

________ ________ ________ ________

7. (a) 0.42 (b) (c) (d)

________ ________ ________ ________

8. (a) 88.3 (b) 83.8 (c) 88 (d) 8.838

________ ________ ________ ________

9. (a) 4 (b) 4.004 (c) 4 (d) 4

________ ________ ________ ________

10. (a) 9.81 (b) 9.9 (c) 9 (d) 9.099

________ ________ ________ ________

99100

47100

310

4100

31100

4251000

410

421000

310

8.31100

8.3100

31100

3100

Model



32/64

Mental Math: Multiplying With Decimals

32

Name ________________________________________________ Date ___________________

Judy Echo and Chuck Narcissus,Part 1

Long ago, there was a fabulous movie directornamed Judy Echo. How fabulous was Echo? Thereviews always raved.

Echo is fabulous! raved Aphrodite Smith, inthe Olympian Times.

A winner! said Athena Cruz, of theDelphiOracle

.And finally, Doug Apollo, from CorinthianMovie Pixwrote: I laughed. I cried.I alsocoughed, sneezed, hiccupped, wheezed, and

made squirrel noises.Judy Echo is TrulyFabulous!

Everything was going great for Judy Echo.But then she directed a movie called Jupiter

Is a Bully.It wasnt that the movie was bad. In fact, if

anything it was goodtoogood. Perhaps it was

even too real. In the movie, Echo was not shy atall about expressing her own strong ideas aboutHollywood. The movie told the story of a Hollywoodstudio boss, a bullying character who was a lotlike real-life studio boss Hank Zeus, the CEO ofGorgon Studios. In fact, some people said themovie character was exactly like Zeus. And Zeuswas not pleased.

Judy pays $274.53 per day to rent props for her

movie. How much will she pay for props over a10-day shooting schedule? A 100-day shootingschedule? Use mental math.

$274.53 x 10 = 274 . 5 3 $2745.30

$274.53 x 100 = 274 .5 3 $27,453.00

Move the decimal point 1 place to the right tomultiply by 10.

Move the decimal point 2 places to the right tomultiply by 100.Move the decimal point 3 places to multiply by1000. And so on.

Use mental math to multiply each number.

1 . 4.6 x 10 = _______

2. 5.73 x 10 = _______

3. 0.47 x 10 = _______

4. 291.3 x 10 = _______

5. 6.4 x 100 = _______

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Name ________________________________________________ Date ___________________

6. 48.55 x 100 = _______

7.3.8 x 100 = _______

8. 427.4 x 100 = _______

9. 0.019 x 10 = _______

10. 2345.6 x 10 = _______

1 1 . 498.4 x 100 = _______

12. 7.625 x 100 = _______

13. 4.5 x 1000 = _______

14. 29.1 x 1000 = _______

15. 2.04 x 1000 = _______

16.After her first hit, Judy Narcissus ordered anew directors chair for herself that cost 10times as much as her old $29.74 chair. Howmuch did the new chair cost?

________________________________________

In fact, Zeus was furious.Echo will never work in this town again!

thundered Zeus.But you cant do that, boss, Zeuss lackeys

told him. We have Echo under contract for thenext nine years.

All right then, what can I do? asked theirate boss.

So it was decided. Echo would no longer begiven anygoodprojects. Whatever jobs she got,they would all be hack work: B-list actors, B-listscripts, cheap copies, and low-grade rip-offs.

Thatll teach Echo to mess with Zeus! theexecutive roared.

And so, Judy Echo, star director, suddenlybecame a nobody. Nobody wanted to work withher. Nobody gave her good scripts.

If only I could find some rising young star,she thought. Then she could become somebodyagain, a top director.

It was around this time that a fabulous newactor named Chuck Narcissus hit the scene.Echo desperately wanted to make a moviewith Narcissus.

Work with me! she said to Narcissus. Ill

make you a star.Who are you? he said to Echo. Youre nobody.And it was true. By now, Echo truly was a

nobody in Hollywood. She had no movies. Shehad no scripts. She couldnt even get anyone todo lunch with her anymore.

Cruel Narcissus! A single movie with Narcissusmight have saved her career. But Narcissus wasntinterested.

To be continued . . .



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Name ________________________________________________ Date ___________________

Judy Echo and Chuck Narcissus,Part 2

In Part 1 of our story,Hollywood director JudyEchos outspoken ideas gother in trouble. She went fromstar director tonobody as aresult of making a movie thatdispleased Hank Zeus, thestudio boss of Gorgon Studios.

Echo dreamed of reviving her career to itsold glory. And the person who would help herdo that was Chuck Narcissus, a sensational

young actor.But Narcissus would have nothing to do with

Echo. And so, Echos career began to fade. Fora while, she was a B-list director, working onjunk scripts.

Judy received a flat fee of $42,680.15 to direct aquickie movie. If she finished in 10 days, how

much would she earn each day? If she finished in100 days? Use mental math. Remember whenusing money units, you must round to the nearestone-hundredth.

42,680.15 10 = 42680 . 15 4268.015

(round) $4268.02

42,680.15 100= 42680 . 15 426.8015

(round) $426.80Move the decimal point 1 place to the left todivide by 10.Move the decimal point 2 places to the left todivide by 100.Move the decimal point 3 places to divide by1000. And so on.

Use mental math to divide each number.

1 . 7.9 10 = _______

2. 2.56 10 = _______

3. 0.25 10 = _______

4. 391.3 10 = _______

5. 116.2 100 = _______

6. 25.95 100 = _______

7. 43.91 100 = _______

8. 235.2 100 = _______

9. 0.6 100 = _______

10. 339.6 10 = _______

1 1 . 5431.2 1000 = _______

12. 0.25 100 = _______

13. 0.65 1000 = _______

14. 4.672 100 = _______

15. 28.712 1000 = _______

16. 0.2 1000 = _______

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After falling to the C-list, and finally, withoutany movies to direct, she decided to try doingother things. Judy Echo tried acting, but she wasntreally any good at it. She tried stunt work with asimilar result.

One day Hank Zeus was visiting a movie setwhen he saw a clumsy stunt person almost ruinan entire scene.

Who is that fool? Zeus asked.When he was told that it was none other than

Judy Echo herself, Zeus called her in to his officeand offered her a job as his personal assistant.

But why would you give me a job? askedEcho.

To show that Im not such a bad guy after all,said Zeus.

Echo took the job, and she was good at it.Over time, Zeus came to rely on her for justabout everything. But the more Zeus relied onEcho, the more she just faded into the background.

After a while the once-outspoken Echo seemedto have no real personality or voice of her own.Whatever Zeus said, Echo would simply repeat.

Fabulous! Zeus would shout.Then Echo would repeat: Fabulous!

Wonderful! Zeus would cry.Then Echo would repeat: Wonderful!Echo, who once had been known for her

strong personality, had become so shy that shedidnt even show her face anymore. She becamecontent to just stay in the background and echowhatever pronouncements Zeus made.

Was Echo really content just to be an assistantto the mighty Zeus, or was she simply a victim ofcircumstance? No one really knows for sure.What is known is that Judy Echo always kept aphoto of Narcissus with her wherever she went.

As the years passed, the word echo becamepermanently connected to Judy Echo. And to thisday, if you ever find yourself in the office of amovie executive, and somebody makes a state-ment that is followed by a low echo, keep inmind that you are listening Echo, still piningaway for her beloved Narcissus, always to echothe words of others, never to express her own.

THE END

17. Script writer Toby Konopka was paid$96,235.52 for a 100-page script. Per page,how much was Toby paid?

________________________________________

18. Gorgon Studios paid $1,231,445 for 100 TV

commercials. How much did each commerciacost?

________________________________________



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Name ________________________________________________ Date ___________________

The Royal Ninny

In the far and distant times, the Kingdom ofFarkus was populated by honest, straight-forwardcitizens who were not afraid to speak their minds.

What a pity!The king, you see, didnt want honest citizens

who would speak their minds. He wanted some-one to agree with him.

What this kingdom needs is a true ninny, theking said. Someone with absolutely no principlesor convictions, no spine or backbone. A real

yes-man. Or yes-woman.But who would step forward?Alas, no one did. So the king sponsored a

tournament to see who could win the title ofRoyal Ninny.

Fools came from far and wide. Twirps andslouches arrived in droves. All seeking glory.

But only one would win.The tournament began. One by one the

contestants faced off against one another. Atthe end of two rounds of competition the two

favorites, Dora the Whiner and Jeffrey the Snivelerwere dueling for the lead, both putting on a remark-able display of spineless whining and cowering.

But what was this? A third contender, knownonly as Richard the Puddle-Heart, suddenlysurged into contention with a spectacular roundof flattery and mewling. Could Puddle-Heart, ashe was known, score an upset victory?

In the Blabbering competition, Dora scored a

9.357 and Jeffrey scored a 9.162. Round Dorasscore to the nearest 0.1 (tenths) place and Jeffreysscore to the nearest 0.01 (hundredths) place.

Step 1: Circle the place youre rounding to.tenths hundredths

9. 3 57 9.1 6 2

Step 2: Look to the next place to the right.If 5 or greater, round up.

If 4 or less, round down.round up round down

9.3 5 7 9.16 2

Step 3: Write each rounded number.

tenths: 9.4 hundredths: 9. 16

Round to the tenths place.

1 . 5.43 _______

2. 18.67 _______

3. 0.58 _______

4. 224.39 _______

Round to the hundredths place.

5. 485.221 _______

6. 0.433 _______

7. 2.483 _______

8. 6.0468 _______

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To determine a winner, the king asked a finalquestion to each contestant separately:

I have decided to award the title to one ofyour rivals. You yourself will be thrown in thedungeon. What do you think of my decision, mygood ninny?

Now, try as they could, neither Dora nor Jeffreycould show any happy enthusiasm for the kingsdecision. After all, if they did, they themselveswould be thrown in the dungeon!

But Puddle-Heart was a ninny through andthrough.

What a splendid idea! Puddle-Heart said tothe king. Why didnt I think of that myself!

At this, the king declared the competition over.Bells rang. Music played. Richard the Puddle-Heart was crowned Royal Ninny!

He truly has the heart of a puddle, declaredthe king.

The audience cheered for the new RoyalNinny. The king was so happy that he didnt eventhrow Dora the Whiner or Jeffrey the Snivelerinto the dungeon.

In fact, he named them both Assistants to theRoyal Ninny, and together the three served the

kingdom well as the Council of Ninnies. And theyall lived happily ever after.

THE END

Before the Sniveling event, Puddle-Heart had a

total of 16.37 points. What was his total afterreceiving a score of 4.89 in Sniveling? Estimateby rounding to the nearest whole number.

6.37 66 + 5 = 11

4.89 5

Estimate the sums and differences.

9. 4.1 + 3.8 _______10. 9.5 6.1 _______

1 1 . 13.73 + 8.6 _______

12. 19.88 4.22 _______

13. 1.59 0.9 _______

14. 56.88 + 3.7 _______

15. 21.062 4.8 _______

16. 44.38 + 9.9 _______

17. In the Spinelessness competition, Dorareceived a score of 6.43 while Jeffreys scorewas 6.39. When rounded to the nearest tenth,who received a greater score?

________________________________________

18. Puddle-Hearts total score of 38.25 was increasedby 12.57 points when he agreed with the king.When rounded to the nearest whole number,what total did Puddle-Heart end up with?

________________________________________

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Name ________________________________________________ Date ___________________

Channel F Presentsthe Kissing Olympics

Pillow: Hello, and welcome to the KissingOlympics on Channel F. Im Pillow

Jones, your host. Lets say hello to mycohost, Smoochie Wilson, formerGold Medalist in the Freestyle OlympicLiplock.

Smoochie: Hi Pillow. This is really going to beexciting. Im stoked. I cant wait. Whosup first?

Pillow: In the Open Smooching Category ourfirst kisser is Prince Andrei the Fairfrom the Kingdom of Upper Myopia.

Andrei has chosen to kiss a warthogand turn it into a beautiful princess.This kiss has a degree of difficultyof 9.25.

Smoochie: Sounds tough. Hope he has his lip balm.Pillow: Here goes Prince Andrei. He begins

with a classic bow from the waistand follows it up with a full two-and-one-half cape swirl. Now hes intohis approach and . . . there it is! A finesmooch, dead center. Good pop. Nice

pucker. Excellent smack.Smoochie:Actually, the Prince got a little more

cheek than he wouldve liked. Lets seethe result . . .

For style, Prince Andrei received 8.563 points and

7.8 points. How many points did he receive in all?

Line up the decimal points. Attach zeroes ifnecessary. Then add.

8.563+ 7.800

16.363

Find each sum.

1. 4.9 + 7.34 2. 18.1 + 6.95

3. 6.24 + 11.07 4. 115.3 + 4.587

5. 2.92 + 1.38 6. 12 + 5.94

7. 19.44 + 5.68 8. 28.6 + 234.56

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Name ________________________________________________ Date ___________________

Pillow: Did the warthog change into abeautiful princess?

Smoochie: Not exactly, Pillow. It looks like

the warthog changed into a hideoustoad instead. Too bad for PrinceAndrei! Better luck next time.

Pillow: Next up we have Princess Moniqueof Castle X. Her kiss will have amaximum degree of difficultyof 10.0. In a single smooch, shelltry to change Prince Jerkus theYoungera spoiled, lazy, youngscoundrelinto a fine young manof noble character. And here

she goes . . .Smoochie: Shes trying a slanted 60-degree

angle approach with a full two-and-one-half sweeping swoop.

Sound: SMACK!Smoochie: Wow, did you hear that, Pillow?

Shes some kisser! It looks likeshes taken our young princeby surprise.

Pillow: Prince Jerkus is not such a jerk

anymore. Hes turned into a fineyoung man!

Prince Jerkus: (sincerely) I confess: Ive been afool! Im going to change my lazyways! You have my noble word!

Pillow:And there it is! A complete success!And thats all we have time for. ImPillow Jones, speaking for SmoochieWilson, saying so long and happysmooching, everyone!

THE END

Princess Monique got just 0.053 points taken off

from a perfect score of 10. What was her score?

Line up the decimal points. Attach zeroes anddecimal points if necessary. Then subtract.

10.000 0.053

9.947

Find each difference.

9. 8.1 5.7 10. 16.4 2.91

1 1 . 24.3 21.77 12. 0.59 0.2

13. 6 2.76 14. 14 7.065

15. 7.38 5 16. 12 0.071

17. Smoochies Pro-Kiss Lip Balm comes in twosizes: 3.82 ounces and 5.6 ounces. How muchmore balm do you get in the larger tube?

________________________________________

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Name ________________________________________________ Date ___________________

The Genie and the Three Wishes

One day, a young student named Molly, whowas studying to be a lawyer, bought a lamp at agarage sale and rubbed it. Out popped a genie whogave her three wishes.

Your wish is my command, said the genie.All right, Molly said. Ill wish for nice weather

tomorrow.Nice weather? said the genie. Is that all?Well, its all I want right now, Molly said. My

life is going just fine, actually. I dont need anywishes. You can give them to someone else whoreally needs them.

Im sorry, said the genie. Youll have to dothat yourself.

So Molly put an ad in the paper. Soon she wasgetting calls from all sorts of wishers.

I need money, said one.I need a giant sports utility vehicle, said another.I need a diamond necklace, said a third.And so it went. Molly was about to give up

when she saw a young boy with a sweet faceriding his bike. His name was Mikey.

How would you like a very special gift, Mikey?Molly asked the boy.

Mikeys face lit up. Oh boy! he cried.So Molly gave Mikey the two wishes.For my first wish, Mikey said, I would

like a big 6.27-ounce bag of corn chips every day.

Suppose Mikey gets a 6.27 ounce bag of corn chips

for 13 days. How many ounces of corn chips will heeat in all?

2

6.27 6.27 6.27x 13 x 13 x 13

1881 1881 18816270 6270 6270

8151 8151 81 .51

Find each product.

1. 8.12 2. 39.75x 4 x 12

3. 0.89 4. 39.75x 25 x 6

5. 586 6. 7.079x 1.7 x 43

Model

2 placeleft

Step 1:Multiply asyou wouldwith wholenumbers.

Step 2:Count thenumberdecimalplaces: 2

Step 3:Move thedecimal pointto the left thesame numberof places.



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Name ________________________________________________ Date ___________________

7. 126 8. 0.122x 3.2 x 58

9. 532 10. 32.31x 24.7 x 5865

11. 4.027 12. 0.009x 52 x 78

And for my second wish, Mikey said, I wouldlike to become Big Mike, all-powerful ruler ofthe world!

Suddenly the entire planet was ruled by an all-powerful nine-year-old who liked corn chips.

OBEY ME OR ELSE! Big Mike commanded.Oh no! cried Molly. What have I done?

She went to the genie and asked if she couldget her wishes back.

Hey, youre the lawyer, said the genie.Im only a law student, Molly said. But, she

finally found a way out: Mikey was only nineyears old.She had made a deal with a minor!

Well, to make a long story short, it took awhilefor the case to drag through the courts, but Mollyfinally won. Mikeys wish was canceled. The ruleof Big Mike ended. Mikey went back to being a

cute little boy.Thank goodness! said Molly.There are two morals to this story. One is:

Never give your wishes to a boy who wants to

become an all-powerful dictator. The second oneis:Make sure you get a good lawyer.

THE END

A lawyer charged $1.64 a minute for advice. How

much would 4.45 minutes of advice cost?2 13 2

1.64 1.64 1.64x 4.45 x 4.45 x 4.45

820 820 8206560 6560 6560

65600 65600 65600

72980 72980 7.2980

Find each product.

13. 9.43 14. 17.6x 5 x 4.3

15. 0.97 16. 554.9x 0.6 x 2.8

17. 6.98 18. 6.067x 4.6 x 0.51

Model

Step 1:Multiply asyou wouldwith wholenumbers.

Step 2:Count thenumber ofdecimalplaces: 4

Step 3:Move thedecimal pointto the left thesame number ofplaces.

4 places le



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Name ________________________________________________ Date ___________________

The Baa Baa ReportFairy Lands Eyewitness Crime Report

Reported by Baa Baa Black Sheep

Fairy LandBaa Baa leads off today with

shocking news. Old Mother Hubbardthe well-known Fairy Land society figureis alleged tohave visited her cupboard on May 3 at 9:03 A.M.Why? The police report clearly states that shewent there for one reason only: she wanted toquote get her poor dog a bone. But when shegot there, things suddenly turn ugly: the cupboardwas bare!

So the poor dog got none.Now heres where the story gets interesting:

Why was Mother Hubbards cupboard bare?Evidence points to a nefarious underworld char-acter known only as the Crooked Man, whoallegedly bought a crooked cat, which caught acrooked mouse, and they all lived together in acrooked little house. Now, if that doesnt sounda bit bent to you, then youre just not payingattention.

Dog Bone snack treats come in a 21.36 ounce bag.

Each bag contains 8 bones. How much does eachbone weigh?

. 2.678 21 . 36 8 2 1.36

1653

4856

560

Find each quotient.

1. 4 13.6 2. 3 23.7

3. 5 41.5 4. 6 34.2

5. 8 130.4 6. 7 185.5

7. 14 78.4 8. 47 766.1

9. 26 111.8 10. 8 188.56

Model

Step 1:Bring thedecimal pointstraight up.

Step 2: Divide. Leave thedecimal point in place.



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Name ________________________________________________ Date ___________________

On the other hand, we have another suspectnamed Jack. But here, things get murky. Is it JackB. Nimble or Jack B. Quick? And what about theJack who jumped over the candlestick? Thats notto mention Little Jack Horner, who claims all hedid was sit in a corner, but as far as Baa Baa is con-cerned, Horner could still be guilty.

As you can see, the list just keeps growing.Which brings us back to Old Mother Hubbardherself. Shes a familiar figure, but how well dowe really know her?

Sources say that Mother Hubbard is not reallyold (shes 36), not really a mother (she lives withher dog), and doesnt really even own a cupboard

(she lives in Mother Goose Motor Inn Motel).So where does that leave us? Im afraid Ol Baa

Baas going to have to take a raincheck on thatone, folks because at this point the MotherHubbard Caper is still a wide-open case.

THE END

Jack B. Nimble ran 23 yards in 4 seconds. At thisrate, how many yards did he run in 1 second?

. 5. 5.7 5.754 23. 4 23. 4 23.0 4 23.00

20 20 2030 30

28 282 20

200

Find each quotient.

1 1 . 2 15 12. 4 37

13. 6 51 14. 5 24

15. 8 12 16. 5 3

17. 8 11 18. 50 20

19. 60 3 20. 20 4

21. 16 408 22. 28 175

Model

Step 1:Write ina decimalpoint. Thenbring it up.

Step 2:Begindividing.

Step 3:Attachzeroes ifthey areneeded.

Step 4:Finishdividing.



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Name ________________________________________________ Date ___________________

The Quest for the Holly Gray-L

Not such a long time ago a computer geniusnamed Holly Gray invented a computer programthat could tell jokes. And not just any jokes,either. These jokes were so funny they evenmade computers laugh!

She called this program the Holly Gray-L. (theL was for Laughs.)

Well, there was a big to-do about this program.Then suddenly Holly disappeared for threeweeks. And she took the Holly Gray-L programwith her.

No one could find Holly or the Holly Gray-L.So Hollys company, Medieval Chalice Computersor MCC, sponsored a competition to see whocould find a new joke-telling program.

The Quest for the new Holly Gray-L was on!

The Holly Gray-L told 14 jokes in 9 minutes. Whatwas the rate of joke-telling in jokes per minute?

Step 1: Divide as you would normally.

Step 2: Round off the quotient of the repeatingdecimal to the nearest hundredth.

1.555.. .= 1.5 or 1.56

9 14.009

50 45

50 45

5

Find each quotient. Round to the nearest hundredth.

1. 3 4 2. 9 20

3. 6 23 4. 9 24

5. 12 146 6. 30 170

7. 6 200 8. 60 512

9. 54 153 10. 72 208

Three young knights took up the challenge.First up was Chuck Red Bunsen. He punched inhis Red Knight program and out came the joke:Which room has no walls, ceiling,floors, orwindows?Answer: a mushroom!

Well, the computers loved this joke. They printedout HAR HAR HAR! and YUK YUK on their screens.But the humans barely cracked a smile.

Next up was Mindy Greene, whose GreenKnight program said:Knock,knock. Whos there?Weirdo. Weirdo who? Weirdo you think youre

going, mister?This joke caused the human audience to

laugh like crazy, but the computers didnt get it,possibly because they didnt understand theweirdo spelling.

The line shows a

repeating decimal:1.5 = 1.55555...



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Name ________________________________________________ Date ___________________

Finally there was a knight named Yarg of Ylloh.Yargs Gray Knight program told a joke that wasso funny that smoke and sparks started comingout of the computers.

Fractured Fairy Tales - Fractions & Decimals.pdf

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