Do Now 3/2/11Do Now 3/2/11Take out HW from last night.Take out HW from last night.– Text p. 222, #1-4 all, 14-17 all, 36-42 evens, 50-56 evensText p. 222, #1-4 all, 14-17 all, 36-42 evens, 50-56 evens

Copy HW in your planner.Copy HW in your planner.– Text p. 222, #28-35 all, #46-48, 58 & 60Text p. 222, #28-35 all, #46-48, 58 & 60

– Quiz Friday section 5.1Quiz Friday section 5.1

In your journal, explain the process in how to write a decimal as In your journal, explain the process in how to write a decimal as a fraction or mixed number. Then convert the following.a fraction or mixed number. Then convert the following.

0.65 -2.025 0.42

HomeworkHomework Text p. 222, #1-4 all, 14-17 all, 36-42 Text p. 222, #1-4 all, 14-17 all, 36-42

evens, 50-56 evensevens, 50-56 evens

1) terminating1) terminating2) repeating2) repeating3) terminating 3) terminating 4) repeating4) repeating14)14)

15)15)

16) 16)

17)17)

36)36)

38)38)

40)40)

42) 42)

5

2

250

81

33

26

50

27

999

7072

9

7

5

37

3

22

50)50)

52)52)

54)54)

56)56)

20

17

11

41

3

29

200

1795

ObjectiveObjective

SWBAT write fractions as decimals.SWBAT write fractions as decimals.

Section 5.1, “Rational Numbers”Section 5.1, “Rational Numbers”

A A RATIONAL NUMBER RATIONAL NUMBER is a number that can be is a number that can be written as a quotient of two integers (a fraction). written as a quotient of two integers (a fraction). Numbers that cannot be written as a fraction are Numbers that cannot be written as a fraction are called called IRRATIONALIRRATIONAL..

RATIONAL NUMBERSRATIONAL NUMBERS IRRATIONAL NUMBERSIRRATIONAL NUMBERS

2

1

5

3

1

12

4

31 2 3 5

““Rational Numbers”Rational Numbers”

Rational NumbersRational Numbers

IntegersIntegers

Whole NumbersWhole Numbers 0,1,2,3,4,5…0,1,2,3,4,5…

IntegersIntegers-3,-2,-1, 0,1,2,3…-3,-2,-1, 0,1,2,3…

Rational NumbersRational Numbers numbers that cannumbers that canrepresented as a represented as a ratio or fractionratio or fraction

0, bb

a

Whole NumbersWhole Numbers

D FD Fractionractionecimalecimal

Decimals = FractionsDecimals = Fractions

““Part or a portion of the Part or a portion of the WHOLEWHOLE””

4 tenths0.40.4

441010

PracticePracticeWhen writing a decimal as a fraction, say and write the fraction. Then simplify the fraction by dividing common factors.

0.80.8 10

8

52

222

5

4

-0.375-0.375 1000

375

555222

5553

8

3

2.642.64 100

642

5522

222222

25

162

F DF Dractionraction ecimalecimal

Writing Fractions as Decimals Writing Fractions as Decimals

8

7Rewrite the fraction as a Rewrite the fraction as a decimal.decimal.

8

7 This means 7 divided by 8.This means 7 divided by 8.

A fraction is the quotient of two integersA fraction is the quotient of two integersRemember

87

780

64 6

87

Finished

.00

56 4

05

40

F DF D

Writing Fractions as PercentsWriting Fractions as Percents

12

5Rewrite the fraction as a decimal.Rewrite the fraction as a decimal.

12

5This means 5 divided by 12.This means 5 divided by 12.

A fraction is the quotientA fraction is the quotient of two integersof two integers

Remember

125

5120

48 2

41

Repeating decimal

.00

12 8

06

72 8

F DF D

-

Writing Mixed Numbers as DecimalsWriting Mixed Numbers as DecimalsRewrite the mixed number as a sum.Rewrite the mixed number as a sum.

Write the fraction as a decimal. Write the fraction as a decimal.

1.121.1255

““1 1 ÷ 8÷ 8””

11 8811

++0.1250.125++11

F DF D

118800

88 22

1122

FinishedFinished

..0000

1616 44

0055

4040

545

4 =

Writing Fractions as DecimalsWriting Fractions as Decimals

)163(1 16

31 =

When writing a fraction as a decimal, think of the fraction as a division expression. Then divide the numerator by the denominator.

= -0.8= -0.8

= 1.1875= 1.1875

929

2= = 0.2222222…= 0.2222222…

= 0.2= 0.2

F DF D

0 0.5 1

Plot the numbers on a number line. Then order them from least to greatest.

2

3,8

5,67.0,2.0,

5

2

1.5

5.1,625.0,67.0,2.0,4.0

0.40.2 0.670.625 1.5

2

3,67.0,

8

5,5

2,2.0

In order them from least to greatest.

Using a Number LineUsing a Number LineF DF D

HomeworkHomework– Text p. 222, #28-35 all,Text p. 222, #28-35 all, #46-48, 58 & 60 #46-48, 58 & 60