Answers - Cross of Hope · Answers Chapter 1 Lesson 1 1. 100 2. 500 3. 1,000 4. ... Extra Practice 2A 157 ... Lesson 1 1. 47 28 19

Answers

Chapter 1

Lesson 11. 100

2. 500

3. 1,000

4. 614; six hundred fourteen

5. 326; three hundred twenty-six

6. 205; two hundred fi ve

7. three hundred twenty-four

8. fi ve hundred ninety-two

9. seven hundred forty-eight

10. four hundred sixteen

11. two hundred nine

12. 415

13. 898

14. 142

15. 206

16. 1,000

17. 325, 326, 327, 328, 329, 330

18. 432, 433, 434, 435, 436, 437

19. 201, 202, 203, 204, 205, 206

20. 280, 290, 300, 310, 320, 330

21. 315, 325, 335, 345, 355, 365

22. 461, 471, 481, 491, 501, 511

23. 210, 310, 410, 510, 610, 710

24. 306, 406, 506, 606, 706, 806

25. 119, 219, 319, 419, 519, 619

Lesson 21. 5; 5; 7; 557 2. 8; 1; 5; 815

3. 3; 5; 8; 358 4. 4; 2; 3

5. 5; 3; 0 6. 3; 0; 6

7. a. 4 b. 3 c. 8 8. a. 0 b. 1 c. 7

9. a. 5 b. 2 c. 9 10. 7; 4; 0

11. 6; 3; 1

12. 400; 4; four hundred seventy-fi ve

13. 20; 8; 2; eight hundred twenty-six

14. 9 15. 600

16. 0 17. 60

18. 782 19. 304

20. 536 21. 290

22. 500; 20; 1 23. 200; 60; 0

24. 70 25. 500

26. 7 27. 4

Lesson 31. 630 is less than 603.

603 is less than 630. ✔

603 is greater than 630.

630 is greater than 603. ✔

2. 832 is less than 823.


823 is less than 832. ✔

823 is greater than 832.

3. 472 is less than 492. ✔

431 is less than 389.


745 is greater than 7 hundreds and 5 ones.

✔

4.

894 794

5.

375 473

6.

345 357

7.

680 638

8. greater than 9. less than

10. less than 11. greater than

12. > 13. < 14. > 15. >

16. < 17. > 18. F 19. T

20. F 21. T 22. F 23. T

Extra Practice 2A 157

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MS_Extra Practice_2A_ANS_157-170.indd 157 1/10/09 4:42:06 PM

Lesson 41. 254, 381, 439, 617

2. 431, 413, 314, 134

3. 375, 607, 700, 832

4. 310, 283, 238, 203

5. Answer varies. For example,379, 397, 739, 793

6. 370 7. 350

8. 79 9. 512; 612

10. 655; 665 11. 310; 710

Put on Your Thinking Cap!Thinking Skill: Comparing

Strategy: Sort and compare

Solution:

$30 – $20 = $10

= $10

$18 – $10 = $8

+ = $16

$20 – $8 = $12

+ + = $36

Chapter 2

Lesson 11. 5; 6; 8; 865 2. 868

3. 599 4. 869

5. 789

6. 128 + 311 = 439They score 439 points in all.

7. 150 + 110 = 260They bake 260 snacks in all.

Lesson 21. 14; 1; 4; 7; 9; 974

2. 691 3. 470

4. 241 5. 832

6. 124 + 136 = 260James and Cameron score 260 points in all.

7. 348 + 239 = 587587 books are sold during the two day sale.

Lesson 31. 8; 15; 1; 5; 7; 758

2. 516 3. 927

4. 625 5. 969

6. 385 + 74 = 459She had 459 eggs at fi rst.

7. 546 + 273 = 819Andy has 819 stamps now.

Lesson 41. 247 2. 431

3. 412 4. 575

5. 822 6. 844 MASTER your Math!

7. 248 + 94 = 342Philip has 342 stickers.

8. 209 + 85 = 294Joshua solves 294 problems in all.

Put on Your Thinking Cap!1. Thinking skill: Deduction

Strategy: Guess and check

Solution:529 + 416 = 945526 + 419 = 945519 + 426 = 945516 + 429 = 945

2. Thinking skill: Deduction


Solution:146 + 257 = 403 or 156 + 247 = 403157 + 246 = 403 or 147 + 256 = 403

Chapter 3

Lesson 11. 1; 1; 4; 411 2. 514

3. 323 4. 112

5. 152

6. 498 – 254 = 244Ling has 244 beads left.

7. 282 – 110 = 172Mr. Garcia drives 172 miles on Sunday.

Lesson 21. 13; 1; 8; 418; 418

2. 638 3. 229

4. 213 5. 218

158 Answers

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6. 394 – 88 = 306Jacob has 306 coins now.

7. 455 – 129 = 326326 children visit the zoo on Thursday.

Lesson 31. 15; 5; 8; 2; 582; 582

2. 185 3. 581

4. 352 5. 177

6. 345 – 172 = 173Matthew has 173 more cards than David.

7. $258 – $182 = $76The tea set costs $76 less than the dinner set.

Lesson 41. 15; 2; 8; 2; 282; 282

2. 259 3. 347

4. 463 5. 478

6. 430 – 145 = 285Lara makes 285 glasses of orange juice.

7. 245 – 187 = 58There are 58 books left in Emily’s library.

Lesson 51. 10; 9; 10; 117

2. 154 3. 124

4. 405 5. 335

6. 452 7. 291

8. 400 – 378 = 22He has 22 more apples than oranges.

9. 800 – 168 = 632There are 632 women at the soccer match.



Solution:

+5

+5

139

14

12

11

10

8

–2

–2

–2

–2



Solution: Add 3 numbers to get 740.

The digit in the tens place is 4.

240 + 180 + 320 = 740

40 + 80 + 20 = 140 Bank A, Bank B, and Bank D contain 740 coins

in all.

Chapter 4

Lesson 11.

47

28 19

28 + 19 = 47There are 47 students in all.

2.

$232

$154 $78

$154 + $78 = $232Mrs. Marie gives $232 in all.

3.

21

18 3

21 – 3 = 18Mrs. Diaz has 18 balloons now.

4.

500

238 262

500 – 238 = 262Jaime has 262 blue beads.

Lesson 21.

182

145 37

145 + 37 = 182Ella has 182 marbles in all.


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MS_Extra Practice_2A_ANS_157-170.indd 159 10/21/09 10:51:45 AM

2.

382

253 129

253 + 129 = 382There are 382 chairs in all.

3.

178

gave away

153

25

178 – 25 = 153Leena gave her sister 153 crayons.

4.

206

sold

14363

206 – 143 = 63The baker has 63 muffi ns left.

5.

66

48 18

48 + 18 = 66Pedro has 66 basketball trading cards in all.

6.

29

15 14

15 + 14 = 29Keisha has 29 stickers in all.

7.

68

used

5612

68 – 56 = 12She has 12 fl owers now.

8. 210

372

162

210 + 162 = 372There are 372 people in the theater now.

Lesson 31.

241

68173

Eddie

David

173 + 68 = 241David has 241 stamps.

2. 235

Red beads

Yellow beads

47188

235 – 47 = 188Susie needs 188 yellow beads.

3. 86

Monday

Tuesday

54

140

86 + 54 = 140Daniel sells 140 tickets on Tuesday.

4. 345

Ali

Farid

256 89

345 – 89 = 256Farid scores 256 points.

160 Answers

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4. 286 78

364

286 + 78 = 364

172 192

364

364 – 172 = 192Joel has 192 stamps from Spain.

Put on Your Thinking Cap!1. Thinking Skill: Comparing

Strategy: Draw a diagram.

Solution:

5

2 3

Ally

Mike?

Danny

5 2 1

5 + 2 + 1 = 8 Danny has 8 crayons. 5 + 2 + 8 = 15 They have 15 crayons in all.


Strategy: Simplify the problem

Solution:

a. There are 7 more girls than boys. ✔

b. There are more boys than girls.

c. There are 14 more girls than boys.

d. If 5 more boys join the class, there will be 2 more girls than boys in ✔

the class.

Chapter 5

Lesson 11. 4 threes = 12

4 × 3 = 124 tricycles have 12 wheels.

2. 10 fi ves = 5010 × 5 = 50There are 50 stars on 10 cards.

Lesson 41. a. 36 18

54

36 + 18 = 54 There were 54 birds at fi rst.

b.

45

9

54 – 9 = 45 There are 45 birds left.

2. a.

$617

$382 $235

$382 + $235 = $617 Ivan spends $617 on clothes.

b.

$999

$382

$617

$235

Food

Clothes

$617 + $382 = $999 Ivan spends $999 in all.

3.

204

128 76

128 + 76 = 204 64204

268

268 – 204 = 64Peter gave 64 marbles to Jack.


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3. 6 + 6 + 6 + 6 + 6 = 305 × 6 = 30

4. Twyla has 4 groups of apples.Each group has 8 apples.There are 32 apples in all.

5. Louis has 3 groups of muffi ns.Each group has 7 muffi ns.There are 21 muffi ns in all.

6. 6 × 7 = 42There are 42 beads in all.

7. 4 × 7 = 28There are 28 apples in all.

Lesson 21. 12 ÷ 3 = 4

There are 4 apples in each group.

2. 20 ÷ 5 = 4There are 4 fl owers in each group.

3. 16 ÷ 4 = 4There are 4 groups of 4 crackers.

4. 18 ÷ 6 = 3There are 3 groups of 6 chicks.

5. 15 – 3 – 3 – 3 – 3 – 3 = 015 ÷ 3 = 5There are 5 groups.

6. 21 – 7 – 7 – 7 = 021 ÷ 3 = 7There are 3 groups of 7 worms.

7. 18 – 9 – 9 = 018 ÷ 9 = 2There are 2 groups of 9 strawberries.

8. 14 – 2 – 2 – 2 – 2 – 2 – 2 – 2 = 014 ÷ 2 = 7There are 7 groups of 2 avocados.

Lesson 31. 4 + 4 + 4 = 12

3 × 4 = 12There are 12 goldfi sh.

2. 8 + 8 + 8 + 8 = 324 × 8 = 32I have 32 slices.

3. 9 ÷ 3 = 3Each monkey gets 3 bananas.

4. 16 ÷ 4 = 4Nathan has 4 pet rabbits.



Solution: 5 times 8 is 4042 – 40 = 2

2 saplings are left over.

2. Thinking skill: Analyzing parts and whole


Solution:

= 15

So, = 15 ÷ 3 = 5

= 27 – 15 = 12

= 12 ÷ 3 = 4

+ = 4 + 5 = 9

+ = 4 + 4 + 5 + 5 = 18

Chapter 6

Lesson 11. 8 × 2 = 16

8 bicycles have 16 wheels.

2. 4

11

5

6

10

2

14

12

8

2, 4, 6, 8, 10, 12, 14

3. 2 x 8

2 x 4

16

8

2 x 7

6

10

2 x 6

2 x 3

12

14

2 x 5

162 Answers

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4.

Numberof birds

1 2 3 4 5 6 7 8 9 10

Numberof legs

2 4 6 8 10 12 14 16 18 20

Lesson 21. 8 × 2 = 16

Mrs. Lee gives 16 crackers to the children in all.

2. 6 × 2 = 12There are 12 wheels in all.

3. 5 × 2 = 10

4. 6 × 2 = 5 × 2 + 2

5. 2 × 2 = 1 × 2 + 1 × 2 = 2 + 2 = 4

6. 4 × 2 = 1 × 2 + 3 × 2 = 2 + 6 = 8

7. 5 × 2 is 2 more than 4 × 2.

8. 6 × 2 is 6 less than 9 × 2.

9. 9 × 2 is 4 more than 7 × 2.

10. 2 × 2 is 12 less than 8 × 2.

11. 5 × 2 = 102 × 5 = 10

12. 6 × 2 = 122 × 6 = 12

13. 4 × 2 = 82 × 4 = 8

14. 7 × 2 = 142 × 7 = 14

Lesson 31. 5, 10, 15, 20, 25, 30

2. 25, 30, 35, 40, 45, 50

3. 2 x 5

6 x 5

35

30

10

40

20

8 x 5

4 x 5

7 x 5

4. 6 × 5 = 30She bakes 30 buns in 6 days.

5. 7 × 5 = 35Peter gives his friends 35 marbles in all.

Lesson 41. 7 × 5 = 35

There are 35 stickers in all.

2. 8 × 5 = 40They eat 40 cherries in all.

3. 3 × 5 = 15 4. 5 × 5 = 25

5. 7 × 5 is 5 more than 6 × 5.

6. 10 × 5 is 10 more than 8 × 5.

7. 6 × 5 is 10 less than 8 × 5.

8. 2 × 5 = 10; 5 × 2 = 10

9. 6 × 5 = 30; 5 × 6 = 30

10. 4 × 2 = 8; 2 × 4 = 8

11. 4 × 5 = 20; 5 × 4 = 20

Lesson 51. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

2. 8 × 1 = 8; 8 × 10 = 80

3. 9 × 1 = 9; 9 × 10 = 90

4. 10 × 1 = 10; 10 × 10 = 100

5. 4 × 10 = 40There are 40 balloons in all.

6. 3 × 10 = 30Adena has 30 beads in all.

7. 8 × 10 = 80There are 80 books in all.

8. 6 × 10 = 60Brooke buys 60 cards in all.

9. Number of boxes 3 6 7 8 10

Number of stamps 30 60 70 80 100

10. 3 × 10 = 30; 10 × 3 = 30

Lesson 61. 3 × 5 = 15; 5 × 3 = 15;

15 ÷ 3 = 5; 15 ÷ 5 = 3

2. 9 × 2 = 18; 2 × 9 = 18; 18 ÷ 2 = 9; 18 ÷ 9 = 2

3. 7 × 2 = 14; 2 × 7 = 14;14 ÷ 7 = 2; 14 ÷ 2 = 7

4. 3 × 10 = 30; 10 × 3 = 30;30 ÷ 3 = 10; 30 ÷ 10 = 3


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5. 16 ÷ 2 = 8There are 8 bones in each group.

6. 20 ÷ 5 = 4There are 4 birds in each group.

7. 9 × 2 = 18; 2 × 9 = 18;18 ÷ 9 = 2; 18 ÷ 2 = 9

8. 6 × 2 = 12; 2 × 6 = 12;12 ÷ 6 = 2; 12 ÷ 2 = 6

9. 7 × 5 = 35; 5 × 7 = 35;35 ÷ 7 = 5; 35 ÷ 5 = 7

10. 4 × 10 = 40; 10 × 4 = 40;40 ÷ 4 = 10; 40 ÷ 10 = 4

Put on Your Thinking Cap!1. Thinking skills: Deduction

Strategy: Make a systematic list

Solution: 4 × 5 = 20, 5 – 4 = 1

The two numbers are 4 and 5.

2. Thinking skills: Identifying Patterns and relationships

Strategy: Make a systematic list

Solution: 5 × 3 = 157 – 5 = 2

5 + 7 + 3 = 15

5

7

3

=

=

=

Test Prep for Chapters 1 to 6

Multiple Choice1. A 2. A

3. C 4. A

5. B 6. B

7. B 8. C

9. D 10. B

Short Answer11. 803

12. a. 6; 16b. 5; 11

13. 983

14. a. 564; 664b. 382; 281

15. 265, 365, 396, 437, 645

16. 406

17. 33

18. a. 305 + 115 = 420 or 420 – 115 = 305 or 420 – 305 = 115b. 227 – 152 = 75 or 152 + 75 = 227 or 227 – 75 = 152

19. 21 ÷ 3 = 7Each group will have 7 fi sh.

20. 5 × 5 = 2525 ÷ 5 = 55 marbles are in each bag.

Extended Response21.

424

228 196

228 + 196 = 424There are 424 students in all.

22. 237

155 82

237 – 82 = 155Jose has 155 marbles.

23.

?

134

27

134 + 27 = 161June has 161 toy animals in all.

24.

?

367

103

367 + 103 = 470Fabriz needs 470 green beads for his project.

164 Answers

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5. Answers vary.For example,

Object

Less than

1 meter

More than

1 meter

More than

1 meter

but less

than 2 meters

More than

2 meters

a. ✔

b.

✔

c.

✔

d.

✔

a bus

a fan

a keyboard

a sofa

6.

a see-saw

a television set

7.

a monitor

a bed

25.

140

61

?

140 – 61 = 79The farm sold 79 trees.

26.

245

?

37

245 – 37 = 208208 people were left at the opera.

27.

53 37

64 26

a. 64 + 26 = 90There are 90 animals at Dairy Farm A.

b. 90 – 37 = 53There are 53 animals at Dairy Farm B.

28. a. 358 185

543

358 + 185 = 543Lily sold 543 tickets.

b. 543 131

674

543 + 131 = 674Lily had 674 tickets in all.

Chapter 7

Lesson 11. less

2. more

3. more

4. less


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5. 139 + 15 = 154Stuart is 154 centimeters tall.

6. 400 + 129 = 529The length of the model railway track from Town A to Town C is 529 meters.

7. 500 − 45 = 455455 − 125 = 330The length of the string of lights that Julius has left is 330 centimeters.

8. 119 + 21 = 140140 − 11 = 129Fiona is 129 centimeters tall.

9. a. 60 + 85 = 145The length of the new toy train is 145 centimeters.

b. 60 + 145 = 205The length of both the toy trains is 205 centimeters in all.

Put on Your Thinking Cap!1. Thinking skill: Comparing

Strategy: Make a list

Solution:

1. Stick C is between Stick A and Stick D.Possibilities: ACD or DCA

2. Stick C is longer than Stick A.Possibilities: DCA

3. Stick A is longer than Stick B.Possibilities: DCAB

a. B

b. D

2. Thinking skill: Spatial visualization

Strategy: Draw a Diagram

Solution:

10 cm 10 cm 10 cm 10 cm 10 cm

She can use fi ve 10-cm building blocks.

10 cm 10 cm 10 cm 20 cm

She can use three 10-cm and one 20-cm building blocks.

10 cm 20 cm 20 cm

She can use one 10-cm and two 20-cm building blocks.

Lesson 21. a. A

b. 1

2. a. Ab. 2

3. a. Bb. 2

4. a. C; b. A; c. 3; d. 6

Lesson 3 1. 4 cm

2. 6 cm

3. 3 cm 4. 6 cm

5. 5 cm 6. 2; 7

7. 1; 10

Lesson 41. Line B is the longest.

Line A is the shortest.

Line C is longer than Line A, but shorter than from Line B.

2. Pencil A: 3 cm, Pencil B: 4 cm, Pencil C: 6 cm, Pencil D: 9 cm

3. 6

4. 2

5. 9

6. 6

7. 12

8. longer

9. longer

10. shorter

Lesson 51. 24 − 6 = 18

The length of the longer piece is 18 meters.

2. 90 + 121 = 211The total width of the two closets is 211 centimeters.

3. 10 – 3 = 7Mrs. Feliciano uses 7 meters of cloth to sew curtains.

4. 30 – 12 = 18 18 – 12 = 6

The fi rst piece is 6 centimeters shorter than the second piece.

166 Answers

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Strategy: Look for patterns

Solution:

Bracelet ColourNumber of beads used

Bracelet A Red 32

Bracelet B Blue 35

Bracelet C Green 25

Bracelet D Yellow 23

Chapter 8

Lesson 11. less than 2. more than

3. as heavy as 4. 3

5. 1 6. 2

Lesson 21. suitcase 2. lamp

3. lamp 4. suitcase

5. 2 6. 10

7. 62 8. 36

9. cake 10. Mr. Clark

11. 8

12. Mr. Clark, Emily, tomatoes, cake

Lesson 31. 400 2. 250

3. 500 4. 700

5. 250; 160

6. The mass of Box A is 600 grams.The mass of Box B is 400 grams.Box B is lighter than Box A.

Lesson 41. 300 2. 600

3. papaya; grapes 4. heavier

5. 740 6. 410

7. pineapple; watermelon

8. Package B, Package A, Package D, Package C

Lesson 51. 9

4 5

4 + 5 = 9 The total mass of the two cats is 9 kilograms.

2. 500

127 373

500 − 127 = 373 The mass of the bread that is left is 373 grams.

3. 25

8 17

25 − 8 = 17 Stella’s mass is 17 kilograms.4. 900

150 225 525

150 + 225 = 375 900 − 375 = 525 The mass of fl our Mr. Vasquez has left

is 525 grams.

5. 35

Tuesday

Wednesday

23

58

93

35 + 23 = 58 58 + 35 = 93 He sells 93 kilograms of potatoes in all.

6. 87

Mr. Dane

Bobby

39 48

87

Bobby?

87 − 48 = 39 87 + 39 = 126 The total mass of Bobby and

Mr. Dane is 126 kilograms.


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Lesson 21. 2 liters; 2 L

2. 5 liters; 5 L

3. 30 liters; 30 L

4. The jug has more than 2 liters of water.

The pail has more water than the kettle. ✔

The kettle has more than 2 liters of water.

The pail has the most amount of water. ✔

5. 2 6. 4

7. 3 8. 6

9. 7 10. 4

11. 1 12. pot, bottle, mug

Lesson 31.

44

26 18

26 + 18 = 44 The tank contains 44 liters of water now.

2.

47

19 28

19 + 28 = 47 Mrs. Lee made 47 liters of fruit punch at fi rst.

3.

94

76

Monday

Tuesday

18

94 − 76 = 18 18 liters more milk was sold on

Tuesday than on Monday.

4.

1527

42

42 − 27 = 15 Michael used 15 liters of water.

Put on Your Thinking Cap!Thinking skill: Spatial visualization


Solution: If the robot has a mass equal to 4 longer blocks then its mass also equals double the number of smaller blocks. 3 + 3 = 6

Chapter 9

Lesson 11.

2.

3.

4.

5. jug

6. pail

7. B

8. B

9. A

10. Container B, Container C, Container A

11. watering can

12. jug

13. 8

14. 4

168 Answers

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11. A

12. C

13. A

14. C

15. B

16. A

17. D

18. A

19. C

20. C

Short Answer21. 84, 61, 57, 32

22. a. lessb. greater

23. a. six hundred forty-eightb. three hundred two

24. 604

25. 251

26. 6 × 2 = 12There are 12 cars in all.

27. 68 – 20 = 48The length of the face towel is 48 centimeters.

28. 3

29. 4 × 2 = 84 bicycles have 8 wheels.

30. 16 ÷ 2 = 8Each boy gets 8 pencils.

31. 100

32. a. 12, 14, 16, 18, 20, 22b. 10, 15, 20, 25, 30, 35

33. 4; 6; 8

34. 114 + 120 = 234The bank is 234 meters from Jim’s home.

35. 900

36. 550

37. 440

38. 6; 16

39. 1

40. 64 + 28 = 92Tim has 92 marbles now.

Put on Your Thinking Cap!1. Thinking skill: Comparing


Solution:1 bottle 3 glasses of water2 bottles 6 glasses of water2 bottles of water are needed to fi ll the beaker.


Strategy: Make suppositions

Solution:4 – 1 = 3

Each time she pours a pail into the tank,she pours 3 L of water.15 ÷ 3 = 5Sue uses 5 pails of water.

3. Thinking skill: Spatial visualization

Strategy: Make suppositions

Solution:Accept any possible answer.For example,

Fill the 5 L pail with water and pour the water into Container B to fi ll it up. Pour the remaining 1 L of water into Container A. Fill the 5 L pail with water again and pour the water into Container C to fi ll it up.

Pour the remaining 1 L of water into Container A to fi ll it up.The least number of pails of water that she needs is 2.

Mid-Year Test Prep

Multiple Choice1. D

2. B

3. A

4. C

5. C

6. B

7. B

8. B

9. A

10. D


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44. 24 ÷ 4 = 6Each boy gets 6 oranges.

45. 148 ?

325

325 – 148 = 177

177 186

?

177 + 186 = 363Kiri has 363 beads now.

Extended Response41. 36 39

75

36 + 39 = 75The length of Ribbon B is 75 centimeters.

42. 28 ?

55

55 – 28 = 27Herbert’s mother is 27 kilograms heavier than Herbert.

43. 6 × 3 = 18There are 18 bananas in all.

170 Answers

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Answers - Cross of Hope · Answers Chapter 1 Lesson 1 1. 100 2. 500 3. 1,000 4. ... Extra Practice 2A 157 ... Lesson 1 1. 47 28 19