Answer Keys ATH W A K Ma th Part A Workbook · 1 4,650 2 1,009 3 Two thousand, eight hundred thirty...

ANSWER KEY MATH WORKBOOK

C A L V E R T E D U C A T I O N

03MIFAKA Workbook

28

Answer Keys Part A

MathWorkbook

© Marshall Cavendish Education

Chapter 1

Numbers to 10,000

Practice 1.1: Counting

Pages 1–4

1 4,650 2 1,009 3 Two thousand, eight hundred thirty

4 Seven thousand, one hundred eighteen 5 Three

thousand, two hundred ninety–seven 6 One thousand,

eight hundred five 7 Three thousand, nine 8 Four

thousand, forty 9 9,000 10 1,400 11 6,835 12 3,260

13 3,206 14 5,068 15 2,070 16 5,009 17 monkey

18 2,065, 2,066, 2,067, 2,068, 2,069, 2,070

19 7,523, 7,533, 7,543 7,553 7,563, 7,573

20 3,307, 3,407, 3,507. 3,607, 3,707, 3,807

21 3,654, 4,654, 5,654, 6,654, 7,654 8,654

22

Practice 1.2: Place Value

Pages 5–10

1 3 thousands, 0 hundreds, 9 tens, 2 ones; or 3,000, or 0,

or 90, or 2 2 6 thousands, 5 hundreds, 0 tens, 0 ones;

or 6,000, or 500, or 0, or 0

3 5,000

400

20

6

4 3,000

400

60

7

5 9,000

800

50

4

6 6,000

0

50

5

7 4,000

700

0

3

8 1,000

400

20

0

9 7,000

200

90

8

10 tens; 40 11 8; 8 12 2,000; thousands 13 5; hundreds

14 1,643 1,000 600 40 3

1,643

One thousand, six hundred forty-three

1,643

15 9,304 9,000 300 4

9,304

Nine thousand, three hundred four

9,304

3,052

3,052

3,052 3,000 50 2

6,008

Six thousand, eight

6,008

6,008 6,000 8

5,800

Five thousand, eight hundred

5,800

5,800 5,000 800

16

17

18

19 2,034; 2,034 20 3,020; 3,020 21 400 22 1 23 90 24 7

25 8,000 26 5,000 27 70 28 5

Practice 1.3:

Comparing and Ordering Numbers

Pages 11–12

1 7,532 is greater than 7,392. 2 4,523 is less than 4,561.

3 < 4 < 5 < 6 >

7 8

109

11



03MIFAKA Workbook

29

12 989, 2,340, 4,001 13 1,456, 2,456, 6,456

14 6,059, 6,359, 6,759 15 3,050, 3,052, 3,057

16 5,731, 5,713, 5,317, 5,137 17 3,761, 3,716, 3,671, 3,617

18 6,349 19 4,217 20 5,508 21 1,990

22

8,5156,5155,515

6,5036,1035,903

7,1167,0767,016

2,455 2,4852,445

2,243 8,2436,243

2,861 2,961 3,061

23

24

25

26

27

28 5,725, 5,735, 5,745, 5,755, 5,765, 5,775

29 8,625, 8,725, 8,825, 8,925, 9,025, 9,125

30 862, 962, 1,062, 1,162 1,262, 1,362

31 6,315 6,215, 6,115, 6,015, 5,915, 5,815

32 3,456 33 1,987 34 2,000 35 8,219 36 2,012 37 1,899

38

B

Put On Your Thinking Cap!

Page 17

1

2 5,621, 5,741, 5,861, 5,981 3 6,871, 5,861, 4,851, 3,841

4 2,828, 2,808, 2,818, 2,798, 2,808

5 400511622733844955

Page 18

9,830

Chapter 2

Mental Math and Estimation

Practice 2.1: Mental Addition

Pages 19–20

1 74

74 79

79

84

2 86

86

5

2

5

84

2

3 87

87 5

82

86

86 6

5

6

82

80

80

4

5 84 6 95 7 62 8 94

Practice 2.2: Mental Subtraction

Pages 21–24

1 39

39

32 77 32

Thousands Hundreds Tens Ones

5 6 2 3

6 6 2 2

7 6 2 1

8 6 2 0



03MIFAKA Workbook

30

2 45

45 3

42 342

3

5

2

52

57

6767 2

69

52 5 57

69

4

5 22

22

28

6 28

48

48 1

49

49

6

1

6

7 61 8 24 9 16 10 14 11 58 12 28 13 35 14 49 15 45 16 36

17 55

8

4261

17

9

Practice 2.3: More Mental Addition

Pages 25–26

1 126

138

126

122

4 122

138 5

133

133

4

5

2

3

200

200

194

194

200

192

192

2 4

200 6 2

2 4

6 2

4

Practice 2.4:

Rounding Numbers to Estimate

Pages 27–30

1

9001,000

1,000

800 900

800

2

3

4

5

6a You need an exact answer.

$900 − $210 = $690

The two items cost $690.

6b You can estimate to find which two items she buys.

450 rounds to 500; 240 rounds to 200; 120 rounds to 100;

310 rounds to 300. $500 + $200 = $700; $700 is close

to $690. The two items she buys are the television set and

the washing machine.

7 836

200

600

200 600 800

800

800836

152

800

700

800 700 100

100

100152

8



03MIFAKA Workbook

31

9 613

900

300

900 300 600

600

600613

10a $96 + $215 + $247 + $385 = $943

$96 is about $100; $215 is about $200; $247 is about $200;

$385 is about $400. $100 + $200 + $200 + $400 = $900

So, $96 + $215 + $247 + $385 is about $900.

$943 is close to $900, so the total cost is reasonable.

10b Yes, Mrs. Ramsey has enough money to buy all the items.

Practice 2.5:

Using Front-End Estimation

Pages 31–34

1 4 2 8 3 1 4 5 5 7 6 9

7 838

300 500 800

800

838

8 873

300 500 800

800873

9 759

200 400 600

600759

10 246

600 300 300

300

246

11 408

900 500 400

400

408

12 523

700 200 500

500

523

13 Answers vary. Sample: 439 is about 400. 558 is about

500. 400 + 500 = 900; The total length of the train and the

carriage is about 900 centimeters.

14 Answers vary. Sample: 356 is about 300. 104 is about

100. 300 – 100 = 200; About 200 centimeters of the wooden

pole is above the ground.

Math Journal

Pages 35–36

1 50 35

35 50

2 85

85

85 2 83

83

2

72 20 52

20 72

52 2 54

54

2 52

3

458 is nearer to 500 than 400.

458 is 500 when rounded to the nearest hundred.

400 500450

4 905 – 178 = 727

905 – 178

900 – 100 = 800

The estimated difference is 800.

727 is close to 800, so the answer is reasonable.

5 No. Answers vary. Sample: Using front-end estimation,

the estimated sum should be 500.

Put On Your Thinking Cap!Page 37

1 349 2 Accept 100 to 104; 195 to 204; 295 to 304; 395 to

404; 495 to 504; 595 to 604; 695 to 704; 795 to 804; 895 to

904; 995 to 999.



03MIFAKA Workbook

32

Page 38

Problem Solving

1 356 is about 400 when rounded to the nearest hundred.

517 is about 500 when rounded to the nearest hundred.

400 + 500 = 900

She needs about 900 centimeters of fabric in all.

2 356 + 517 = 873

Mrs. Avilla needs a total of 873 centimeters.

900 – 873 = 27

27 centimeters of fabric will be left over.

Cumulative Review

Pages 39–44

1 nine thousand, nine hundred ninety-nine 2 one

thousand, forty-seven 3 six thousand, five 4 2,012

5 9,001 6 6,421 7 5,216, 6,216, 7,216, 8,216, 9,216

8 3,009, 3,109, 3,209, 3,309, 3,409

9 6,029, 6,019, 6,009, 5,999, 5,989

10 21, 2,021, 4,021, 6,021, 8,021

11

2,000

800

30

5

12 500 13 40; 5

14

15

16 4,702 17 6,588 18 6,886 19 4,702, 6,588, 6,886

20 7,641 21 1,467 22 4,167 23 7,146 24 89 25 74 26 82

27 41 28 6 29 17 30 131 31 192 32 900 33 7,600

34 3,000 35 2,000

36 650

500

200

500 200 700

700650

416

900

500

900 500 400

400416

37

38 949, 850 39 2 40 8 41 5 42 9

43 781

700

781

210

210

200

44

45 Estimate to get the answer. 125 rounds to 100, 264

rounds to 300. 100 + 300 = 400; The decorated float is

about 400 centimeters tall.

46 1,920 47 891 − 278 = 613; 800 − 200 = 600613

600613

48 293 + 108 = 401; 401 + 293 = 694

293 rounded to the nearest hundred is 300.

108 rounded to the nearest hundred is 100.

300 + 100 = 400

400 + 300 = 700

The school has 694 students. 694 is close to 700 so the

answer is reasonable.

Chapter 3

Addition up to 10,000

Practice 3.1:

Addition Without Regrouping

Pages 45–48

1 6,975 2 8,675 3 6,795 4 8,769 5 4,478 6 5,399

7 5,868

9,938

5 0 6

5 8 6 8

5 3 6 2

0 5 0

9 5 9 2

6 5 4 2

3

9,592

2,841

3 0 6

9 9 3 8

4 6 3 2

1 0 0

2 8 4 1

7 4 1

2

5

8

9

10



03MIFAKA Workbook

33

11 9,986 12 8,489 13 3,009 14 6,039 15 2,063 16 8,900

17 2,968 18 4,776 19 7,376 20 Go o d A fterno on

21 4,897

4, 0 9 4 8 0 3

4, 8 9 7

22

5, 0 5 12, 1 3 6

7, 1 8 7

7,187

23

7, 4 2 31, 3 6 2

8, 7 8 5

8,785 24 9,148

6, 0 3 6 3, 1 1 2

9, 1 4 8

25 9,999

8, 9 9 9 1, 0 0 0

9, 9 9 9

Practice 3.2:

Addition with Regrouping in Hundreds

Pages 49–50

1 5,400 2 2,400 3 6,600 4 6,200 5 4,000 6 3,000 7 8,200

8 7,100 9 9,300

10 6,697

3, 8 7 6 2, 8 2 1

6, 6 9 7

1

11 5,537

3, 6 1 0 1, 9 2 7

5, 5 3 7

1

12 7,411

1, 9 0 0 5, 5 1 1

7, 4 1 1

1

13 8,399

1

5, 5 1 6 2, 8 8 3

8, 3 9 9

14 9,127

1

6, 3 2 5 2, 8 0 2

9, 1 2 7

Practice 3.3: Addition with Regrouping

in Ones, Tens, and Hundreds

Pages 51–54

1

2 1 12

1 2

5 2 1

8, 5 2 1

15

1 5

8

1 11

1 1

2 1,011 3 1,492 4 1,820 5 4,926 6 9,195 7 1,492 8 5,341

9 1,600 10 9,124 11 1492 12 6,835 + 2,795 = 9,630; 9,630

13 5,268 + 1,952 = 7,220; 7,220 14 2,156 + 3,152 = 5,308; 5,308

Put On Your Thinking Cap!Pages 55–56

1 Answers vary.

Sample answers:

2,035 5,3702,073 7,3093,592 7,5233,905 7,9505,037 9,2375,239 9,752

2, 0 3 57, 9 5 0

9, 9 8 5

2, 0 7 33, 9 0 5

5, 9 7 8

2 Answers vary.

Sample answers:

1,690 6,9041,896 8,1094,180 8,6494,691 8,9614,860 9,0846,849 9,416

1, 8 9 64, 6 9 1

6, 5 8 7

1 1

6, 8 4 91, 6 9 0

8, 5 3 9

1 1

Pages 57–58

1 6 2 4 3 Answers vary; Sample answer: Page A – 502,

322, 304, 214; Page B – 521, 323, 305, 125 4 64 + 36 =100

5 Answers vary. Sample answer: 65 + 48 + 37 = 150. 6 7

7 7,431 8 1,347 9 7,431 + 1,347 = 8,778



03MIFAKA Workbook

34

Chapter 4

Subtraction up to 10,000

Practice 4.1:

Subtraction Without Regrouping

Pages 59–60

1 4,211 2 3,031

3 1,123

3 6 4 6

2 5 2 3

1 1 2 3

4 9,123

9 6 4 6

5 2 3

9 1 2 3

5 5,541

5 5 6 4

2 3

5 5 4 1

6 286 7 2,200 8

8, 4 2 1 – 3 1 0 8, 1 1 1

8,111

9

5, 4 9 3– 3, 2 9 1 2, 2 0 2

7, 5 6 8– 4, 0 2 2 3, 5 4 6

6, 9 7 4– 1, 8 1 3 5, 1 6 1

9, 7 8 6 – 7 2 9, 7 1 4

5,1619,714

2,2023,546

10

1211

Practice 4.2: Subtraction with

Regrouping in Hundreds and Thousands

Pages 61–62

1 1,900 2 716 3 2,921 4 332 5 5,631

1,483

32,10 8 4

1, 6 0 1 1, 4 8 3

81,515 744

21,13 9 4

1, 6 5 0 7 4 4

98

, 13 5 6 7, 8 4 1

1, 5 1 5

76

6,426

76,10 7 9

6 5 3 6, 4 2 6

8,183

98

,10 8 7 9 0 4

8, 1 8 3

9 10 11 1,700 12 4,520

13 2,989 14 3,851 15 1,524 16 1,402 17 2,331

18 YOU’RE GREAT

Practice 4.3: Subtraction with Regrouping

in Ones, Tens, Hundreds, and Thousands

Pages 63–66

1

9 1

1 16

18 9 1

7 11

6,8 9 1

1 161

11

67 1 1

11

67 1 1

2

8

6 8

5 6 8

4 17

4

2 14

2

3 12

2, 5 6 8

3 309 4 269 5 1,048 6 1,914 7 6,628 8 675

9 10 2,160 11 7,113



03MIFAKA Workbook

35

12 1,221 13 4,840 14 7,947 15 5,582 16 504 17 5,176

18 1,864 19 1,308 20 6,987 21 STATUE OF LIBERTY

22 NEW YORK

Practice 4.4: Subtraction Across Zeros

Pages 67–68

1 236 2 1,642 3 4,563 4 485 5 2,363 6 2,528 7 3,444

8 5,001 9 2,654 10 strawberry

11

1,845

4,002 – 2,157 = 1,845

4, 0 0 2 2, 1 5 7

1, 8 4 5

3 9 91 1 1


Pages 69–70

1 68 − 26 = 42 2 400 120 280

476 – 196 = 280

3 6 4 1 5 6 6 5; 3

7

8,652 2,056 6,596

8, 6 5 2 2, 0 5 6

6, 5 9 6

5 141 1

8 Accept 7,410 – 5,632 = 1,778; 7,401 – 5,632 = 1,769;

7,140 – 5,632 = 1,508; 7,104 – 5,632 = 1,472;

7,041 – 5,632 = 1,409; 7,014 – 5,632 = 1,382.

Pages 71–72

1 Accept 91 and 191; 92 and 192; 93 and 193; 94 and 194;

95 and 195; 96 and 196; 97 and 197; 98 and 198; 99 and 199.

2 jewelry; dress 3a crayons, notebook, pencil 3b pencil

holder, notebook, pencil

Chapter 5

Using Bar Models: Addition and

Subtraction

Practice 5.1: Real-World Problems:

Addition and Subtraction

Pages 74 –76

1a 487

175

487 175 312

312

1b 487 + 312 = 799; Both grades collect 799 cans in all.

2a 2,169

4,320

2,1694,320 2,151

2,151

2b 2,151

1,493

1,4932,151 658

658

3a 1,452 379

1,452 379 1,831

1,831

3b 1,452

645

1,452 645 807

807



03MIFAKA Workbook

36



Pages 78–82

1a

1,287 879 408

408

men

?

women

1,287

879

?

1b 1,287 + 408 = 1,695; 1,695 adult spectators are at the

game.

2a

$4,756 $1,297 $3,459

$3,459

athletic

?

library

$4,756

$1,297

2b

$3,459 $948 $2,511

$2,511

$3,459

$? $948

3a

Monday

?

Wednesday

635

?

96

635 96 539

She prints 539 newsletters on Wednesday.

3b 635 + 539 = 1,174; She prints 1,174 newsletters in all.

4a

1,793 157 1,636

1,636

Mr. Tuzamoto

?

Ms. Jefferson

1,793

157

4b

1,636 698 938

938

1,636

? 698

5a

middle school

3,756

elementary school

?

?

455

3,756 455 4,211

The elementary school has 4,211 students.

5b 3,756 + 4,211 = 7,967; Both schools have 7,967

students.



Page 84

1

2,500 2,000 4,500

pet store

3,500

farm

2,500

?

2,000

The farm donates 4,500 pounds of dog food.

4,500 3,500 1,000

The farm donates 1,000 pounds more dog food than the pet store.

Page 86

Math Journal

Answers vary.


Page 87

1 B and C; 456 + 195 = 651 2 A and C; 318 + 195 = 513

3 A; B 4 A; C 5 B; C 6 A; C

Page 88

1a 589 − 125 = 464; 464 cards 1b 464 − 201 = 263; 263

cards 2 $350 + $20 = $370; Peter raises $370. $350 + $370

+ $370 + $350 = $1,440; The boys raise $1,440 in all.

Cumulative Review for Chapter 3 to 5

Pages 89–92

1 8,817 2 5,900 3 8,223 4 5,911 5 4 6 5 7 5 8 3

9a 9b



03MIFAKA Workbook

37

10

a. 5,476 – 1,496 = 3,980 3,980 people ride Bus E in March.

b. 5,476 + 3,980 = 9,456 9,456 people ride both buses in March.

1,496

5,475

Bus D

Bus E?

?

a

b

11 368

1,213

?

green apples

red apples

?

a. 1,213 – 368 = 845 845 of the apples are red.

b. 845 – 368 = 477 The supermarket has 477 more red apples than green apples.

a

b

12 2,500

?

?

Monday

Tuesday

532

2,500 + 532 = 3,0323,032 people were at the museum on Tuesday.2,500 + 3,032 = 5,532The total number of visitors for both days is 5,532.

13

754 – 98 = 656Peter has 656 songs.754 + 656 = 1,410They have 1,410 songs in all.

754

?

?

Michael

Peter

98

Chapter 6

Multiplication Tables of 6, 7, 8, and 9

Practice 6.1: Multiplication Properties

Pages 93–96

1 5 × 5 = 25 2 4 × 7 = 28 3 8 ×2 = 16

4

15

20

5

6 3 × 4 = 12; 4 × 3 = 12 7 1 × 6 = 6; 6 × 1 = 6

8

5 5

15

9 10

10

2 2

10

10 0 2 4 0

0 0

1 5 10 1

5 10

11

1312

14 Accept 8 2 or 2 8.

Answers vary.

16

Practice 6.2: Multiply by 6

Pages 97–100

1 5 × 6 = 30 2 6 × 6 = 30 3 6 4 5 5 7 6 6 7 10 8 6

9 61

20 4

24

7

230 1242

82

60 1248

30

60

10

11



03MIFAKA Workbook

38

12

13 8 × 6 = 48; 48 wheels in all 14 4 × 6 = 24; 24 legs

15 9 × 6 = 54; 54 sides


Pages 101–108

1 6 × 7 = 42 2 7 × 7 = 49 3 7 4 9 5 5 6 7 7 10 8 7

9 2

820

28

49

63

35

2

35 14

70

1

70 7

10

11

12

13 14; 14 14 70; 70 15 28; 28


Pages 105–108

1 24

2 48 3 8 4 3 5 6 6 8 7 5 8 8; 8; 8

9 2

40 8

32

80

2

80 16

64

8

10



03MIFAKA Workbook

39

11

40

56

40

2

16

7

12

13 1 × 8 14 7 × 8 = 56; 56 15 6 × 8 = 48; 48


Pages 109–112

1 18

2 63 3 9 4 4 5 9 6 6 7 9 8 9; 9

9

1

40

40

4

36

90

1

90

81

45

9

54

9

1

45

10

11

12

13 4 × 9 = 36; She pastes 36 stickers in all. 14 Answers

vary.

Practice 6.6: Division: Finding the

Number of Items in Each Group

Pages 113–114

1 45 ÷ 9 = 5; 45 ÷ 5 = 9 2 63 ÷ 7 = 9; 63 ÷ 9 = 7 3 48 ÷ 8

= 6; 48 ÷ 6 = 8 4 7; 7 5 6; 6 6 5;5 7 54 ÷ 9 = 6;

Each purse has 6 coins. 8 63 ÷ 7 = 9; Each box contains

9 seashells.



03MIFAKA Workbook

40

Practice 6.7: Division:

Making Equal Groups

Page 115

1 9; 9 2 7; 7 3 3 4 9 5 7 6 8 7 64 ÷ 8 = 8; 8 tanks are

needed to hold 64 gallons of water. 8 36 ÷ 9 = 4; Donald

uses 4 bags.

Math Journal

Page 116

1

2 3


Page 117

1 70 63 56 49 42 35 28 21 14 7

2 80 92 64 56 48 40 32 24 16 8

3

36The number 36

does not belong in the

multiplication table of 8.

32The number 32

does not belong in the

multiplication table of 7.

4

Page 118

1

1

2

3

3

4

4

8

4

0

6

2

8

18 6 24

18

24 6 30

30 6 36

36 6 42

42 6 48

42

Chapter 7

Multiplication

Practice 7.1: Mental Multiplication

Pages 119–120

1 27 2 35 3 72 4 15; 1,500 5 28; 280 6 28; 2,800

7 48; 480 8 48; 4,800 9 180 10 1,800 11 140 12 1,400

13 240 14 2,400

Practice 7.2: Mental Multiplication

Pages 121–126

1 4

8

6

6 8 4

684

2

4

3

2 2 6

1 3

3 9

936

9 3 6

3 1 4

0 0

2 8

804

8 0 4

4 963 5 408 6 605

7

8 B, D, F, G, H, and I

9 143 × 2 = 286; 286 people ride the train in 2 hours.

10 213 × 3 = 639; The bakery sells 639 muffins in 3 days.

11 232 × 2 = 464; The website has 464 hits in both weeks.



03MIFAKA Workbook

41

12 202 × 4 = 808; The grocery store sells 808 cartons of

milk in 4 weeks.

Practice 7.3: Multiplying Ones, Tens,

and Hundreds with Regrouping

Pages 128–134

1

8 0

3

6 30

30 3 0

1 5

3 5 8

80

2

2 832 8

32 3 2

8 32

328

3

8 40

40 4

7 35

4 35 39

39 3 9

390

9 03

4

0

4

5 20

20 2

1 4

2 4 6

1 4

460

6 04

2

0

5

2 86 89

1

4 16

16 1 6

2 8

968

1 8

9



03MIFAKA Workbook

42

6

5 25

25 2

4 20

2 20 22

22 2

1 5

2 5

7

725

2 57

2 2

5

2

7

9 45

45 4

5 25

4 25 29

29 2

1 5

2 5

7

795

9 57

2 4

9

5

Practice 7.4: Multiplying Ones, Tens,

and Hundreds with Regrouping

Pages 135–138

1

1 7 5

K

9 7 2 8 3 7

9 1 2 6 2 48 9 1

7 7 5 9 9 59 9 2

D O E YN

2 187 × 4 = 748; The cars have 748 wheels in all.

3 198 × 3 = 594; They carry 594 books in all.

4 165 × 5 = 825; She feeds her hamster 825 food pellets in

165 days. 5 900 6 928 7 777 8 980

9–10

11

670

134 5 = 670



03MIFAKA Workbook

43

Math Journal

Page 138

9 6 9Multiply 3 ones by 3.

3 3 ones = 9 ones

Multiply 2 tens by 3.

3 2 tens = 6 tens

Multiply 3 hundreds by 3.

3 3 hundreds = 9 hundreds

So, 3 323 = 969.


Page 139

1 4 2 4 3 2 4 5 5 2 6 3 7 2 8 4

Page 140

30 2 = 60 70 4 = 280 60 280 = 340

30 70

Cumulative Review for

Chapters 6 and 7

Pages 141–146

1 0 2 7 3 6 4 4 5 6 6 7 7 0 8 8 9 8 10 4

11 82

8 24

8 324

12 4 12

12 24

122

24

13 35

5 1

35 7

42

90

10 2

90 18

72

14

15 32

32 4 8

32 8 4

6 9 54

54 9 6

6

16

17

9

36

360

7

70

7,000

36

7018

19 30 20 50 21 80 22 120 23 1,000 24 800

25 848 740

2 1 2 4

8 4 8

1 4 8 5

7 4 0

26

27 864 28 753 29 42 × 4 = 168; Cheryl completes

168 exercises. 30 48 ÷ 8 = 6; There are 6 marbles in each

bag. 31 63 ÷ 9 = 7; He uses 7 pots. 32 49 ÷ 7 = 7;

He needs 7 bags. 33 153 × 5 = 765; She sells 765 carrots.

34 125 × 4 = 500; She buys 500 markers.



03MIFAKA Workbook

44

Chapter 8

Division

Practice 8.1: Mental Division

Pages 147–148

1 5; 5 2 9; 9 3 7; 7 4 9; 9

5 56

8

8

36

4

40

6

2

200

45

9

900

6

7

8

9 60 10 50 11 20 12 30 13 40 14 70

Practice 8.2: Quotient and Remainder

Pages 149–150

1

5 2

5

2

8 0

8

0

2

3 5 4 6 5 8 6 8 7 8

8 10 9 9

10

8

3

11

7

1

12

9

4

Practice 8.3: Odd and Even Numbers

Pages 151–152

1 No; Answers vary. 2 No; Answers vary. 3 14 ÷ 2 = 7 R 0

4 23 ÷ 2 = 11 R 1 5 29 ÷ 2 = 14 R 1

6 14

remainder

remainder 1

23 297

8

30, 68, 76, 84, 92, 980

9 11, 59, 95, 123, 477 10 0, 2, 4, 6, 8 11 1, 3, 5, 7, 9

12 9,425 13 1,096

Practice 8.4: Division Without

Remainder and Regrouping

Pages 153–154

1

1 1

2 32

3 1

08

4

2

4

0

2

03

6

1

6

0

1

05

5

1

5

0

4 5



03MIFAKA Workbook

45

6

Practice 8.5: Division with Regrouping

in Tens and Ones

Pages 155–156

1

C M R I

F A T J

2 02

1 6

12 1

0

6 08

2 6

18 1

0

6 03

2 7 R 2

21 2

2

8 02

2 3

12 1

0

4 09

1 7 R 1

282

1

5 03

1 2 R 3

101

3

5 05

1 5

25 2

0

6 02

3 6

121

0

2 3 4

6 7 85

9 TRAFFIC JAM

Math Journal

Page 156

1 False. When I divide one number by another, the answer

is called a quotient. Any number left is called a remainder.

2 False. When an odd number is divided by 2, there is

always a remainder of 1. 3 False. When an even number is

divided by 2, there is no remainder. 4 False. I divide the

tens first, then the ones.


Page 157

1 163656+

981

2

Page 158

4 R 84 R 242

65 R 2

42Thinking skill: Analyzing partand whole

Chapter 9

Using Bar Models:

Multiplication and Division


Multiplication

Pages 159–160

1 95

95

285

285



03MIFAKA Workbook

46

2

98 × 392

392

4

this year

last year

98 miles

?

3

School A

School B

76 bundles

?

76 × 5 = 380School B collects 380 bundles of newspaper.


Two-step Problems with Multiplication

Pages 162–168

1a

milk

water

88 cartons

?

88 4 352

352

×

1b

352 88 264

264

–

milk

water

88 cartons

352 bottles

?

–

2

85

pottery

paintings

?

75 + 10 = 85The museum has 85 pieces of pottery.

85 × 3 = 255The museum has 255 paintings.

?

carvings

pottery

75 10

add

multiply

3

65 – 25 = 40The second graders have 40 books in boxes.

subtract

multiply

40 × 4 = 160The third graders collect 160 books.

65 books

?25books

second graders

third graders

40 books

?

4

? pencils

30 pencils

8 × 30 = 240

240 pencils

215 pencils ? pencils

240 – 215 = 25She needs 25 more pencils.

5

600 – 174 = 426

120 × 5 = 600There are 600 books in all.

120 books

? books

600 books

6

25

25 5

125

125

125 30 155

155

×

+



03MIFAKA Workbook

47

7 28 stickers

Jill

Peggy

Luis

15 stickers

?

1 unit 28

4 units 28 × 4 = 112

Peggy has 112 stickers.

112 – 15 = 97

Luis has 97 stickers.

Practice 9.3:

Real-world Problems: Division

Pages 169–172

1 75 ÷ 5 = 15; Each child gets 15 marbles

2 63 hours

?

63 7 9

9

÷

3

9

72 8 9÷

72 buttons

8 8

? shirts

4

24 3÷

24

8

8

5

4 units 801 unit 80 ÷ 4 = 20

Luke takes 20 photos.

Elena

Luke

80 photos

?

6

9 units 541 unit 54 ÷ 9 = 6

Mr. Tang picked 6 peaches.

Mr. King

Mr. Tang

54 peaches

?


Two-step Problems with Division

Pages 173–176

1

8

64 8 8÷

16

8 2 16×

8

divide

multiply

2

70 ÷ 5 = 14Alex has 14 pencils.

Alex

Lance

?

14 ÷ 2 = 7Each child gets 7 pencils.

multiply

divide

14 pencils

?

70 pencils

3

90 – 10 = 80Richard shares 80 pennies.

80 ÷ 4 = 20Each sister gets 20 pennies.

90 pennies

?10 pennies

divide

subtract

80 pennies

?



03MIFAKA Workbook

48

4 64 rolls

?

32 rolls32 + 64 = 96He makes 96 rolls in all.

96 ÷ 4 = 24Each box has 24 rolls.

96 rolls

?

5 19 – 14 = 5Wayne collects 5 more stamps than Marcus each month.

65 ÷ 5 = 13In 13 months Wayne collects 65 more stamps than Marcus.

Marcus

Wayne

14 stamps

19 stamps

?

65 stamps

5 5

? months

Math Journal

Pages 177–178

1 Answers vary. Sample: Dr. Bob sees 89 patients in a week.

Dr. Jane sees twice as many patients as Dr. Bob. How many

patients do both doctors see?

2 My question: Answers vary. Sample: Baker Chang bakes

twice as many bread rolls as Baker Lee. Baker Chang bakes

98 bread rolls. How many bread rolls do they bake in all?

My methods: Answers vary. Sample:

Method 1 Method 2

98 ÷ 2 = 49 2 units → 98

49 × 3 = 147 1 unit → 98 ÷ 2 = 49

3 units → 49 × 3 = 147


Page 179

24 ÷ 2 = 12Pedro has 12 trading cards after receiving 5 cards from Timmy.

12 – 5 = 7

Timmy

Pedro24 cards

5

5

Timmy

Pedro24 cards

Page 180

6 × 3 = 18There are 18 nuggets on 6 sticks.

18 + 2 = 20Johanna has 20 nuggets in all.

20 ÷ 4 = 5No chicken nuggets will be left.She will need 5 sticks.

3 nuggets 2 nuggets

?

20 nuggets

4 4

? sticks

Cumulative Review for Chapters 8–9

Pages 181–186

1

183 381

831813

138

318

2

3 3

300

6

3

30

6

3

4

6 01 31 2 1

3 6 R 1 1 1 R 3 1 9 R 3

9 0 6 6 0

3 2

9 0 3 3 0

3 1

5 0 6 5 1

1 1 R 1

4 0 7 4 3

5 04 84 5 3

5

8

6

97

10



03MIFAKA Workbook

49

11

125 × 3 = 375

Ian has 375 trading cards.

Roland

? trading cards

Ian

125 trading cards 12

250 ÷ 5 = 50

Each class receives 50 pencils.

? pencils

250 pencils

13a

Mike

2 feet

Pamela

? feet

? feet

3 × 2 = 6

Mike is 6 feet tall.

13b 6 – 2 = 4

Mike is 4 feet taller than Pamela.

14a 3 + 6 = 9

Mrs. Herra buys 9 boxes of fruit. ? boxes

6 boxes3 boxes

14b 65 × 9 = 585

Mrs. Herra buys 585 pieces of fruit.

65 pieces of fruit

? pieces of fruit

15

96 ÷ 6 = 16

Each jug holds 16 ounces of lemonade.

16 ÷ 2 = 8

Each glass holds 8 ounces of lemonade.

? ounces

96 ounces

? ounces

16 ounces

16

$56 × 2 = $112

The camera costs $112.

$56 + $112 = $168

The two items cost $168 in all.

watch

$?

camera

$56

$?

17

?

480 crayons

4 × 120 = 480

He has 480 crayons.

480 ÷ 6 = 80

80 crayons are in each box.

120 craons

?

18

275 – 15 = 260

Natalie uses 260 centimeters of ribbon to make 4 headbands.

260 ÷ 4 = 65

She uses 65 centimeters of ribbon for each headband.

? cm

275 cm

15

? cm

260 cm

cm

Mid-Year Review/Test Prep

Pages 187–200

1 C 2 D 3 A 4 B 5 A 6 B 7 D 8 B 9 C 10 D 11 B

12 D 13 D 14 A 15 C 16 3,014 17 5,000 18 Answers

vary. Sample: 129, 183, 347; Answers vary. Sample: 174,

318, 942 19 1,909 20 280 21 29; 1 22 900 23 26 24 600

and 900 25 212

26

14 7

14

7

14

14

14

27 9,101 28 2,141 29 616 30 Accept any two: 13; 17; 37;

73; 93; 97. 31 26 32 29 33 5,758 34 185 35 624

36a 600 − 285 = 315; Jolene has 315 glass beads.

36b 600 − 150 = 450; She has 450 wooden beads left.

37a

3,700 – 450 = 3,250Company B gets 3,250 hits.

?

3,700

Company A

Company B

450?

37b 3,700 + 3,250 = 6,950Both companies get 6,950 hits in all.



03MIFAKA Workbook

50

38a 80 laps

? laps

80 ÷ 5 = 16He swims 16 laps in a day.

38b ? laps

16 laps

16 × 4 = 64He swims 64 laps in 4 days.

39a 88 stickers

4 4

? bookmarks

88 ÷ 4 = 22He puts stickers on 22 bookmarks.

39b

22 ÷ 2 = 11He has 11 friends.

22 bookmarks

2 2

? friends

40 162 pieces

?

162 × 5 = 810

786 pieces of pottery are not broken.

810 pieces

? pieces24pieces

810 – 24 = 786

Answer Keys ATH W A K Ma th Part A Workbook · 1 4,650 2 1,009 3 Two thousand, eight hundred thirty...

Documents

Transcript of Answer Keys ATH W A K Ma th Part A Workbook · 1 4,650 2 1,009 3 Two thousand, eight hundred thirty...