Number Sense 1 AP Book 3.1

Number Sense 1 AP Book 3.1 page 1 AP Book NS3-1 page 33 1. a) ones b) ones c) tens d) ones e) hundreds f) ones g) tens h) ones i) hundreds j) ones 2. a) tens b) ones c) tens d) hundreds e) ones f) hundreds 3. b) 2 8 3 c) 0 1 7 d) 9 4 2 e) 4 0 8 f) 1 3 0 g) 7 5 3 h) 0 0 4 i) 2 0 1 j) 9 8 9 AP Book NS3-2 page 34 1. a) 7, 20, 300 b) 2, 90, 600 c) 1, 80, 200 2. a) 30 b) 3 c) 30 d) 300 e) 3 f) 30 g) 300 h) 3 i) 300 j) 3 k) 30 l) 30 3. a) 50 b) 200 c) 100 d) 80 e) 7 f) 800 g) 8 h) 9 i) 0 AP Book NS3-3 page 35 1. a) 2, 12 b) 13, 3 2. a) 19 b) 18 c) 16 d) 15 e) 13 f) 12 g) 70 h) 50 i) 80 j) 40 3. a) sixty b) sixteen c) forty d) fourteen e) Fifty f) twenty g) thirteen h) eighteen i) seventy 4. a) seventy b) sixty c) ninety d) seventeen e) sixteen f) nineteen g) forty h) Fifty i) thirty j) fourteen k) fifteen l) thirteen AP Book NS3-4 page 36 1. a) 6 b) 8 c) 9 d) 32 e) 75 f) 82 g) 206 h) 312 i) 467 j) 649 2. a) two b) five c) seventeen d) twelve e) twenty-two f) seventy-three g) thirty-seven h) sixty-four 3. a) four hundred b) two hundred c) five hundred d) eighty-two e) ninety-three f) fifty-one 4. a) one hundred twenty-one b) three hundred seven c) six hundred ninety-eight d) eight hundred forty-six e) nine hundred thirteen 5. a) three b) thirty c) sixty-four d) three, forty-five e) nine, two 6. a) seven; twenty-four b) Answers will vary. c) Answers will vary. d) Answers will vary. 7. a) eight b) three, seven, twelve AP Book NS3-5 page 38 1. a) 3 hundreds + 4 tens + 2 ones = 342 b) 2 hundreds + 6 tens + 0 ones = 260 c) 1 hundreds + 5 tens + 8 ones = 158 d) 5 hundreds + 0 tens + 9 ones = 509 2. Answers will vary. 3. 4. Teacher to check. AP Book NS3-6 page 40 1. a) 4 hundreds + 2 tens + 7 ones b) 8 hundreds + 9 tens + 3 ones c) 0 hundreds + 5 tens + 6 ones d) 0 hundreds + 0 tens + 2 ones e) 6 hundreds + 7 tens + 1 ones f) 3 hundreds + 0 tens + 4 ones 2. a) 900 + 50 + 3 b) 100 + 30 + 9 c) 20 + 7 d) 600 + 4 e) 400 + 70 f) 200 + 1 g) 30 + 2 h) 400 + 90 + 3 3. a) 253 b) 468 c) 27 d) 999 e) 607 f) 560 1

page 2 g) 327 h) 802 i) 940 4. a) 20 b) 70 c) 80 d) 6 e) 2 f) 20 g) 700 h) 80 i) 20, 6 j) 70, 3 5. NOTE: Teacher to check base-ten models. a) 300 + 10 + 7 b) 60 + 5 c) 400 + 40 + 6 d) 200 + 2 e) 100 + 30 f) 20 + 4 6. 156 stamps, addition AP Book NS3-7 page 42 1. NOTE: Teacher to check base-ten models. a) 3 tens + 2 ones; 30 + 2 b) 4 tens + 3 ones; 40 + 3 c) 5 tens + 2 ones; 50 + 2 d) 1 ten + 6 ones; 10 + 6 2. a) 26 b) 17 c) 32 d) 67 e) 36 f) 85 g) 76 h) 44 i) 92 j) 40 k) 79 l) 51 3. a) twenty-six b) thirty-two c) three hundred seventy-six d) twenty-one e) two hundred sixty-nine f) fifty-four 4. fifty-three 53 = 5 tens + 3 ones 53 = 50 + 3 NOTE: Teacher to check base-ten model. AP Book NS3-8 page 43 For the answer key, we have bold italicized (rather than circled) the greater numbers. 1. a) 23 15 b) 32 19 2. thirty-four forty-seven sixty forty-eight 3. 110, one hundred ten 215, two hundred fifteen 130, one hundred thirty 135, one hundred thirtyfive 4. Teacher to check. 5. two hundred twenty two hundred fourteen one hundred seventy-three one hundred fifty-five 6. forty-two 91 63 three hundred six 140 AP Book NS3-9 page 45 1. a) 7, 30; 7, 40; 47 is greater than 37 b) 7, 40, 600; 7, 40, 500; 647 is greater than 547 2. a) Circle tens; 475 b) Circle hundreds; 360 c) Circle ones; 858 d) Circle tens; 136 3. a) Circle tens; 597 b) Circle tens; 654 c) Circle hundreds; 603 d) Circle ones; 432 e) Circle hundreds; 597 f) Circle ones; 906 g) Circle tens; 875 h) Circle tens; 238 4. a) 311 b) 625 c) 721 d) 867 e) 480 f) 220 g) 125 h) 859 i) 336 5. a) Sindi b) Anthony s AP Book NS3-10 page 46 1. a) 10 more b) 10 less c) 10 less d) 10 more 2. a) 100 more b) 100 less c) 100 more d) 100 less 3. a) 7, 40, 600; 7, 50, 600; 10 less b) 2, 80, 400; 2, 80, 300 100 more 4. a) Circle tens; 10 less b) Circle hundreds; 100 less c) Circle tens; 10 more d) Circle hundreds; 100 more e) Circle tens; 10 less f) Circle hundreds; 100 less 5. a) 485 b) 253 c) 377 d) 492 e) 663 f) 302 g) 787 h) 191 i) 205 j) 951 6. a) 385 b) 262 c) 982 d) 227 e) 963 f) 921 g) 347 h) 673 i) 922 j) 387 k) 801 l) 216 m) 291 n) 497 o) 387 7. a) 10 b) 100 c) 10 d) 100 2

page 3 e) 10 f) 100 8. a) 538, 548 b) 872, 972 c) 502,, 522 d) 373, 383 9. a) Circle tens; 231 is 10 less than 241 b) Circle hundreds; 585 is 100 greater than 485 c) Circle tens; 682 is 10 less than 692 AP Book NS3-11 page 48 1. a) 35 b) 91 c) seventy-six d) 99 e) fifty-five f) 21 g) 107 h) three hundred eighty-five 2. a) 45, 54, 44, 55 b) 16, 61, 11, 66 c) 39, 93, 33, 99 d) 67, 76, 66, 77 3. a) 32 b) 98 c) 41 d) 74 4. Greatest Least a) 752 257 b) 632 236 5. a) 62, 75, 87 b) 251, 256, 385 c) 327, 357, 385, 395 d) 402, 432, 434, 484 6. Tiger Shark, Giant Squid, Whale Shark, Giant Blue Whale 7. Full list: 235, 253, 325, 352, 523, 532. Largest: 532 AP Book NS3-12 page 49 1. a) Teacher to check. b) 2, 4, 6, 8, 0 c) i) 52, 54, 56 ii) 82, 84, 86 iii) 58, 60, 62 iv) 86, 88, 90 2. a) Teacher to check. b) 1, 3, 5, 7, 9 c) i) 53, 55, 57 ii) 73, 75, 77 iii) 59, 61, 63 iv) 87, 89, 91 AP Book NS3-13 page 50 1. Teacher to check marks on number line; 3, 8, 3, 8, 3, 8, 2. a) 2, 7, 2, 7, 2, 7 b) 1, 6, 1, 6, 1, 6 c) 4, 9, 4, 9, 4, 9 3. a) 39, 44, 49 b) 89, 94, 99 c) 53, 58, 63, d) 66, 71, 76 e) 41, 46, 51 f) 92, 97, 102 g) 117, 122, 127 h) 223, 228, 233 4. Counted by 5s. 5. 0, 5, 0, 5, 0 6. a) 125, 150, 175 b) 425, 450, 475 c) 175, 200, 225 d) 650, 675, 700 e) 250, 275, 300 f) 900, 925, 950 AP Book NS3-14 page 51 1. 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90 2. a) 70, 75, 80 b) 110, 115, 120 c) 250, 255, 260 d) 320, 325, 330 e) 565, 570, 575 f) 790, 795, 800 3. Teacher to check. 4. a) 25: counted by 5 b) 6: counted by 2 c) 12: counted by 3 d) 24, 26: counted by 2 e) 45, 50: counted by 5 f) 36, 39: counted by 3 5. Teacher to check. AP Book NS3-15 page 52 1. 52, 50, 48, 46, 44, 42, 40, 38, 36 2. 80, 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20 3. 90, 80, 70, 60, 50, 40, 30 4. a) 29, 27, 25 b) 52, 50, 48 c) 91, 89, 87 d) 73, 71, 69 e) 90, 85, 80 f) 55, 50, 45 g) 30, 25, 20 h) 70, 65, 60 AP Book NS3-16 page 53 1. a) 40, 50, 60 b) 70, 80, 90 c) 100, 110, 120 d) 230, 240, 250 e) 470, 480, 490 f) 270, 280, 290 g) 200, 210, 220 h) 360, 370, 380 i) 390, 400, 410 j) 710, 720, 730 2. a) 20 b) 40 3. Teacher to check. 4. a) 77, 87, 97 b) 78, 88, 98 c) 55, 65, 75 d) 66, 76, 86 e) 87, 97, 107 f) 102, 112, 122 g) 191, 201, 211 5. a) 70, 60, 50 b) 60, 50, 40 c) 40, 30, 20 d) 90, 80, 70 AP Book NS3-17 page 54 1. Teacher to check. 2. a) 16, 18 b) 15, 18 c) 64, 66, 68 d) 20, 24, 28 e) 40, 50, 60, 70 f) 25, 30, 35, 40, 45, 50, 55 3. a) 25 not 24 b) 60 not 61 c) 88 not 87 d) 35 not 34 4. a) 25 b) 10 c) 50 5. Teacher to check. AP Book NS3-18 page 55 1. a) 400, 500, 600 b) 600, 700, 800 c) 700, 800, 900 d) 900, 1 000, 1 100 2. a) 400 b) 600 c) 800 3. Approx. 800 bikes 4. a) 200 b) 700 c) 300 d) 800 e) 900 f) 1 000

page 4 5. a) 500, 600 b) 1 800, 1 900, c) 900, 1 000 d) 3600, 3700 6. a) 300, 200, 100 b) 600, 500, 400 7. a) 457, 557, 657 b) 554, 654, 754 c) 613, 713, 813 d) 436, 536, 636 e) 482, 582, 682 f) 719, 819, 919 g) 738, 838, 938 AP Book NS3-19 page 56 1. a) 2 tens + 14 ones = 3 tens + 4 ones b) 3 tens + 17 ones = 4 tens + 7 ones c) 1 ten + 11 ones = 2 tens + 1 one d) 1 ten + 19 ones = 2 tens + 9 ones e) 2 tens + 22 ones = 4 tens + 2 ones f) 0 tens + 20 ones = 2 tens + 0 ones 2. a) 4 + 1 = 5; 3 b) 6 + 1 = 7; 4 c) 8 + 1 = 9; 5 d) 2 + 1 = 3; 9 e) 6 + 1 = 7; 7 f) 1 + 1 = 2; 8 3. a) 30 ones = 3 tens b) 20 ones = 2 tens c) 40 ones = 4 tens d) 60 ones = 6 tens e) 10 ones = 1 ten f) 50 ones = 5 tens 4. a) 34 ones = 3 tens + 4 ones b) 47 ones = 4 tens + 7 ones c) 26 ones = 2 tens + 6 ones d) 61 ones = 6 tens + 1 one e) 12 ones = 1 ten + 2 ones f) 18 ones = 1 ten + 8 ones 5. a) 6 tens + 8 ones b) 4 tens + 2 ones c) 9 tens + 3 ones d) 3 tens + 5 ones e) 1 ten + 7 ones f) 8 tens + 4 ones g) 0 tens + 8 ones h) 3 tens + 0 ones AP Book NS3-20 page 58 1. a) 5, 5, 6 b) 4, 4, 2 c) 7, 9, 3 d) 6, 4, 5 e) 9, 9, 6 2. dimes pennies a) 5 7 b) 7 3 c) 7 7 d) 5 2 3. $1 10 1 a) 4 34 + 2 + 36 7 4 + 3 = 7 6 7 b) 2 37 + 2 = 39 1 2 + 3 = 5 9 1 c) 3 56 + 2 = 58 8 3 + 5 = 8 8 8 d) 1 31 + 6 = 37 8 1 + 3 = 4 AP Book NS3-21 page 59 7 8 Teacher to check base-ten models. 1. a) 56 b) 35 c) 56 d) 43 2. a) 44 b) 35 c) 63 d) 57 e) 84 f) 55 g) 27 h) 52 i) 55 j) 53 AP Book NS3-22 page 60 Teacher to check base-ten models. 1. a) 42 b) 62 c) 72 d) 24 2. a) 1, 3 b) 1, 0 c) 1, 4 d) 1, 3 e) 1, 3 f) 1, 2 g) 1, 2 h) 1, 2 i) 1, 6 j) 1, 4 k) 1, 30 l) 1, 30 m) 1, 43 n) 1, 52 o) 1, 65 3. a) 42 b) 42 c) 52 d) 51 e) 71 f) 63 g) 85 h) 45 i) 44 j) 76 AP Book NS3-23 page 62 1. a) 5, 1 b) 2, 3 c) 6, 7 d) 9, 2 e) 8, 4 f) 7, 0 g) 0, 2 h) 0, 5 2. a) 3, 2 b) 6, 3 c) 8, 7 d) 5, 8 3. After regrouping: a) 6, 1 b) 6, 2 c) 8, 1 d) 8, 2 4. a) 62 b) 72 c) 63 d) 114 e) 76 5. a) 32 b) 50 c) 107 d) 60 e) 112 AP Book NS3-24 page 63 1. a) 2, 4, 2; 3, 8, 4; 5, 12, 6; 6, 2, 6; b) 3, 9, 4; 5, 3, 1; 8, 12, 5; 9, 2, 5 c) 1, 5, 6; 4, 8, 3; 5, 13, 9; 6, 3, 9 2. a) 806 b) 923 c) 713 d) 739 e) 518 3. a) 485 b) 593 c) 671 4

page 5 d) 583 e) 1 265 4. a) 714 b) 635 c) 759 d) 795 e) 858 f) 922 5. a) 54 b) 485 c) 1 361 d) 962 e) 174 f) 808 g) 1 002 h) 770 6. a) 7 485 b) 7 898 c) 5 908 d) 99 298 AP Book NS3-25 page 65 1. a) 22 b) 12 c) 23 d) 12 2. a) 3, 9; 2, 5; 1, 4; 14 b) 6, 8; 4, 2; 2, 6; 26 c) 6, 7; 3, 3; 3, 4; 34 d) 9, 6; 6, 2; 3, 4; 34 3. a) 40 + 6; 30 + 2; 10 + 4; 14 b) 90 + 5; 60 + 2; 30 + 3; 33 c) 30 + 7; 10 + 1; 20 + 6; 26 d) 60 + 3; 20 + 0; 40 + 3; 43 e) 20 + 9; 0 + 4; 20 + 5; 25 f) 50 + 8; 40 + 1; 10 + 7; 17 4. a) 16 b) 21 c) 16 d) 4 e) 34 f) 32 g) 35 h) 24 i) 12 j) 21 k) 53 l) 53 5. Teacher to check. 6. a) 413 b) 641 c) 123 d) 235 e) 422 AP Book NS3-26 page 67 1. a) 2, 13; 15 b) 4, 14; 26 c) 2, 12; 15 d) 1, 13; 4 2. a) 12 b) 16 c) 17 d) 47 e) 77 3. a) Help! 3 < 7 b) OK c) Help! 5 < 9 d) Help! 2 < 7 e) Help! 5 < 7 f) Help! 2 < 9 g) Help! 1 < 7 h) OK i) OK j) Help! 4 < 5 k) Help! 5 < 7 l) Help! 5 < 9 m) Help! 1 < 7 n) Help! 2 < 8 o) Help! 1 < 8 p) Help! 7 < 9 q) OK r) OK 4. a) 6 b) 22 c) 56 d) 5 e) 68 f) 3 g) 14 h) 54 i) 11 j) 19 k) 18 l) 36 m) 4 n) 14 o) 13 p) 38 q) 24 r) 25 AP Book NS3-27 page 69 1. a) 135 b) 243 c) 131 d) 372 2. a) 514 b) 306 c) 546 d) 314 3. a) 234 b) 126 c) 544 d) 43 AP Book NS3-28 page 70 1. a) 1 + 6, 2 + 5, 3 + 4 b) 1 + 3, 2 + 2 c) 1 + 5, 2 + 4, 3 + 3 2. 1 + 9 2 + 8 3 + 7 4 + 6 5 + 5 3. a) 2, 8 b) 3, 7 c) 5, 5 d) 6, 4 e) 1, 9 4. a) 10 + 5 b) 10 + 4 c) 10 + 3 d) 10 + 9 e) 10 + 7 f) 10 + 5 5. a) 15 b) 17 c) 48 d) 59 e) 61 f) 23 5

page 6 g) 44 h) 36 i) 98 j) 97 k) 125 l) 164 6. a) 2, 4 b) 1, 4 c) 4, 1 d) 5, 2 e) 1, 3 f) 2, 6 g) 3, 3 h) 1, 5 7. a) 3, 2; 10 + 2 = 12 b) 4, 1; 30 + 1 = 31 c) 2, 4; 80 + 4 = 84 d) 5, 3; 50 + 3 = 53 8. a) $45 b) 33 stickers 9. 37 + 3 + 2 = 40 + 2 = 42 AP Book NS3-29 page 72 1. Teacher to check that shading is correct. a) 2; 8 b) 2; 10 c) 4; 12 d) 3; 8 e) 1; 2 2. a) 1; 9 b) 4; 10 c) 4; 14 d) 2; 6 e) 4; 10 3. a) 5 blue; 2; 8 b) 5 blue; 1; 11 c) 5 green; 2; 12 AP Book NS3-30 page 74 1. Teacher to check. 2. a) 3 + 4 = 7; 4 + 3 = 7 7 3 = 4; 7 4 = 3 b) 5 + 4 = 9; 4 + 5 = 9 9 4 = 5; 9 5 = 4 3. Teacher to check. 4. a) + b) c) + d) e) f) 5. Teacher to check grid. a) 7 fish b) 7 marbles c) 2 dogs d) 1 km AP Book NS3-31 page 76 1. $22 2. 11 years older 3. 370 4. 25 5. 26 6. 15 7. 14 8. 14 9. 31 10. 363 11. 220 kg 12. 1 010 m AP Book NS3-32 page 77 1. a) Tens b) Hundreds c) Ones d) Thousands e) Thousands f) Hundreds g) Tens 2. a) 3 425 b) 4 833 c) 9 607 d) 806 3. a) three thousand two hundred seventyone b) five thousand eight hundred ninety-three c) one thousand two hundred thirty-one 4. a) 3 070 = 3 000 + 70 + 5 b) 3 275 = 3 000 + 200 + 70 + 5 c) 9 701 = 9 000 + 700 + 1 d) 8 001 = 8 000 + 1 5. a) 2 739 b) 8 530 6. a) 7 654 b) 4 197 c) 1 213 d) 7 811 AP Book NS3-33 page 78 1. a) 4 b) Answers will vary. 2. a) 191 m, 275 m, 298 m b) 84 m c) 107 m 3. a) 34 43 + 43 12 77 31 4. Answers will vary. 5. a) 700 litres b) Teacher to check. 6. a) 210 b) 190 7. Yes 8. Since 5 + 7 is 12, Sam kept the ones digit on the bottom line and carried the tens digit to the next column of numbers. AP Book NS3-34 page 79 1. a) 3; 2 b) 3; 4 c) 4; 7 b) 3; 4; 3 4 = 12 c) 3; 5; 3 5 = 15 d) 5; 3; 5 3 = 15 e) 4; 4; 4 4 = 16 f) 5; 2; 5 2 = 10 3. a) 3 4 = 12 b) 4 5 = 20 c) 2 3 = 6 4. a) 4 3 b) 3 2 c) 5 3 d) 4 2 e) 3 5 f) 3 6 g) 4 4 5. Teacher to check arrays. 6. a) 4 5 = 20 b) 6 3 = 18 c) 5 3 = 15 7. Yes, the products are the same since both arrays have 6 dots in total. AP Book NS3-35 page 81 1. a) 7; 8 b) 6, 9 c) 4; 6 d) 5; 9 e) 5; 8 f) 3; 8 g) 5; 6; 10 h) 4; 6; 8 i) 10; 15; 20 2. a) 2 + 2 + 2 = 6 b) 3 + 3 + 3 + 3 = 12 c) 4 + 4 = 8 d) 5 + 5 + 5 + 5 = 20 3. a) 2 + 2 + 2 + 2 = 8 b) 5 + 5 + 5 = 15 c) 4 + 4 + 4 = 12 d) 3 + 3 + 3 = 9 4. a) 3 + 3 + 3 + 3 = 12 b) 2 + 2 + 2 + 2 = 8 c) 6 + 6 + 6 + 6 + 6 = 30 2. a) 2; 4; 2 4 = 8 6

page 7 AP Book NS3-36 page 82 1. a) 8 b) 6 c) 12 d) 20 e) 6 f) 5 2. a) 3 2 b) 3 4 c) 2 5 d) 4 6 e) 5 7 f) 3 9 g) 3 3 h) 4 8 i) 3 5 3. 3 + 4 + 3; 2 + 5 + 7; 8 + 8 + 9 + 8 4. a) 2 + 2 + 2 = 6; 3 2 = 6 b) 5 + 5 + 5 + 5 = 20; 4 5 = 20 c) 2 + 2 = 4; 2 2 = 4 d) 3 + 3 + 3 + 3 = 12; 4 3 = 12 e) 5 + 5 + 5 = 15; 3 5 = 15 f) 7 + 7 = 14; 2 7 = 14 g) 5 + 5 + 5 + 5 = 20; 4 5 = 20 5. a) 2 + 2 + 2 + 2 = 4 2 = 8 b) 3 + 3 + 3 + 3 + 3 = 5 3 = 15 c) 4 + 4 + 4 + 4 + 4 = 5 4 = 20 AP Book NS3-37 page 83 1. a) 0, 2, 4, 6 b) 0, 2, 4, 6, 8 c) 0, 3, 6 d) 0, 5, 10 e) 0, 5 f) 0, 4 2. a) 2, 4, 6, 8, 10 b) 3, 6, 9, 12, 15 c) 4, 8, 12, 16, 20 d) 5, 10, 15, 20, 25 3. a) 10 b) 15 c) 8 d) 6 e) 25 f) 6 g) 12 h) 8 i) 20 j) 16 k) 4 l) 5 m) 3 n) 9 o) 2 4. a) 4 2 = 8 b) 4 4 = 16 c) 4 5 = 20 d) 2 3 = 6 5. a) 3 4 = 12 b) 4 5 = 20 c) 5 3 = 15 d) 2 5 = 10 e) 5 4 = 20 f) 3 3 = 9 AP Book NS3-38 page 85 1. a) 4 5 = 3 5 + 5 b) 5 3 = 4 3 + 3 c) 3 7 = 2 7 + 7 d) 4 4 = 3 4 + 4 e) 4 8 = 3 8 + 8 f) 5 5 = 4 5 + 5 2. Teacher to check arrays. 3. a) 4 2 = 3 2 + 2 b) 5 7 = 4 7 +7 c) 8 3 = 7 3 +3 d) 3 6 = 2 6 + 6 e) 7 4 = 6 4 + 4 f) 9 6 = 8 6 + 6 g) 5 4 = 4 4 + 4 h) 8 7 = 7 7 + 7 i) 7 6 = 6 6 + 6 j) 6 4 = 5 4 + 4 4. a) 5 3 = 4 3 + 3 = 12 + 3 = 15 b) 6 3 = 5 3 + 3 = 15 + 3 = 18 c) 6 4 = 5 4 + 4 = 20 + 4 = 24 d) 4 4 = 3 4 + 4 = 12 + 4 = 16 e) 6 6 = 5 6 + 6 = 30 + 6 = 36 f) 3 7 = 2 7 + 7 = 14 + 7 = 21 5. a) 7 5 = 6 5 + 5 = 30 + 5 = 35 b) 9 3 = 8 3 + 3 = 24 + 3 = 27 c) 8 4 = 7 4 + 4 = 28 + 4 = 32 d) 11 2 = 10 2 + 2 = 20 + 2 = 22 AP Book NS3-39 page 87 1. 2, 4, 6, 8, 10, 12, 14, 16, 18 2. 48, 28, 24, 64, 128, 44, 26, 164, 102, 68, 108, 184, 148, 142 3. 32, 30, 50, 74, 56, 36, 96, 34, 90, 132, 70, 92, 58, 110 4. 28, 42, 56, 24, 36, 48, 32, 64, 36, 54, 72, 48 5. a) 84 b) 74 c) 96 d) 70 AP Book NS3-40 page 88 1. Snail: 0, 0, 0, 0, 0 Bird: 2, 4, 6, 8, 10 Cat: 4, 8, 12, 16, 20 Insect: 6, 12, 18, 24, 30 Spider: 8, 16, 24, 32, 40 2. Teacher to check. 3. a) 12 b) 10, 20 c) 3, 9 d) 2, 4, 6 4. 8 times 5. 4 km 6. 7. Teacher to check. 8. a) Three times as many circles b) Four times as many circles c) Three times as many circles d) Two times as many circles 9. a) (4 triangles) (6 triangles) (8 triangles) 10. 2; 4 11. 4 cm; 10 cm; 14 cm 12. 6 3 = 18 books AP Book NS3-41 page 90 1. 18 legs 2. 5 2 = 10 2;10 or 0;0 3. 16 pens 4. When you multiply a number by 1, the answer is the original number. 7

page 8 5. 100; 2 732 6. Multiply to 12: 1 12; 2 6; 3 4 Multiply to 20: 1 20; 2 10; 4 5 7. The product is greater. 8. The product is greater than the sum. No; they can be equal. Yes; 2 + 2 = 2 2 = 4. 9. Symmetric about the diagonal; commutative property of multiplication (order of multiplication doesn t matter). AP Book NS3-42 page 91 1. penny = 1 nickel = 5 dime = 10 2. a) 5 b) 10 c) 2 3. a) 10, 15, 20, 25 b) 40, 45, 50, 55 c) 25, 30, 35, 40 d) 65, 70, 75, 80 e) 75, 80, 85, 90 f) 95, 100, 105, 110 4. a) 20, 25, 30, 35 b) 80, 85, 90, 95 c) 45, 50, 55, 60 d) 90, 95, 100, 105 5. a) 30, 40, 50, 60 b) 70, 80, 90, 100 c) 55, 65, 75, 85 d) 95, 105, 115, 125 e) 25, 35, 45, 55 f) 100, 110, 120, 130 6. a) 20, 30, 40, 50 b) 45, 55, 65, 75 c) 80, 90, 100, 110 d) 95, 105, 115, 125 7. a) 5, 10, 15 16, 17, 18, 19 b) 5, 10 11, 12, 13, 14, 15 c) 5, 10, 15, 20, 25 26 d) 5, 10, 15, 20 21, 22 e) 5, 15, 25 30, 35, 40 f) 10, 20, 30 35, 40, 45 8. a) 5, 6, 7, 8 b) 5, 10, 15, 16 c) 10, 15, 20, 25 d) 10, 20, 30, 35, 40 e) 5, 10, 15, 20, 25, 30, 31, 32, 33, 34 AP Book NS3-43 page 93 1. quarter = 25 2. a) 25 b) 5 c) No 3. a) 1 b) 5 4. b), c) and e) 5. 25, 50, 75, 100, 125, 150, 175, 200 AP Book NS3-44 page 94 1. a) 25, 50, 75 76, 77 b) 25, 50, 75 80, 85 c) 25, 50 51, 52 d) 25, 50, 75 85, 95 2. a) 25, 50, 60, 70 b) 25, 50, 75, 80, 81 c) 25, 50, 75, 100, 101 d) 25, 30, 35, 40, 45 3. a) 45 b) 55 c) 80 d) 95 e) 33 f) 55 g) 82 h) 95 4. a) 10, 20, 30 35, 40 41 b) 25, 50 60, 70 71, 72, 73 c) 25, 50 55, 60 61, 62 d) 25, 50, 75 85, 95 100, 105 e) 25, 50 60, 70, 80 85, 90 91, 92 5. a) 22 b) 61 c) 50 d) 47 e) 51 f) 47 g) 83 6. 25, 50, 75, 100, 110, 120, 125, 130, 131 AP Book NS3-45 page 96 1. a) 17 b) 35, 40 c) 72, 77 d) 23, 28 e) 86, 91 f) 50, 55 2. a) 16 b) 31, 41 c) 59, 69 3. a) 1 b) 10 c) 1 d) 1 e) 10 f) 10 g) 10 h) 5 i) 25 4. a) 2 pennies b) 1 penny c) 3 pennies d) 3 pennies e) 1 penny f) 2 pennies 5. a) 1 nickel b) 1 nickel c) 2 nickels d) 4 nickels e) 4 nickels f) 6 nickels 6. a) 1 dime b) 2 dimes c) 1 dime d) 2 dimes e) 3 dimes f) 4 dimes 7. a) 2 nickels b) 4 dimes c) 2 dimes d) 1 nickel e) 3 nickels f) 1 quarter 8. a) 1 penny, 1 nickel b) 1 penny, 1 nickel c) 1 nickel, 1 dime d) 1 nickel, 1 dime e) 1 nickel, 1 dime f) 1 penny, 1 dime 9. a) 1 dime OR 2 nickels OR 10 pennies OR 1 nickel and 5 pennies b) 1 quarter OR mix of other coins adding to 25 cents (teacher to check) c) 1 penny and 2 dimes OR mix of other coins adding to 22 cents (teacher to check) 10. No, since 27 is not a multiple of 5 (10 is a multiple of 5 ). AP Book NS3-46 page 98 1. a) 1 nickel, 1 penny b) 4 pennies c) 1 nickel, 3 pennies d) 1 nickel, 4 pennies 8

page 9 2. a) 1 dime, 2 pennies b) 1 dime, 4 pennies c) 2 dimes, 1 penny d) 2 dimes, 3 pennies 3. a) 1 dime, 1 nickel b) 2 dimes 4. a) 1 dime, 1 nickel, 1 penny b) 2 dimes, 2 pennies c) 1 dime, 1 penny d) 1 nickel, 3 pennies e) 2 dimes, 4 pennies f) 1 dime, 1 nickel, 2 pennies g) 1 dime, 4 pennies h) 1 dime, 1 nickel, 4 pennies 5. 50, 75, 100 6. 3 7. a) 25 b) 75 c) 50 d) 50 e) 25 f) 75 g) 50 h) 25 8. b) 50 ; 7 ; 1 nickel, 2 pennies c) 25 ; 6 ; 1 nickel, 1 penny d) 75 ; 10 ; 1 dime 9. a) 1 quarter, 1 nickel b) 3 quarters, 1 penny c) 1 quarter, 1 dime d) 2 quarters 10. a) 2 dimes b) 1 quarter, 1 dime, 1 nickel c) 1 quarter, 1 nickel d) 2 dimes e) 1 dime f) 1 quarter, 1 dime 11. Trade 1 dime for 2 nickels, then trade 2 dimes and 1 nickel for a quarter. 12. 1 quarter, 1 dime, 1 nickel, 2 pennies AP Book NS3-47 page 100 1. a) 1, 2; 12 b) 2, 2; 22 c) 1, 4; 14 d) 4, 0; 40 2. a) 23 b) 70 c) 41 d) 82 e) 39 f) 18 3. a) 2, 5 b) 4, 0 c) 3, 6 d) 0, 2 e) 1, 2 f) 9, 9 4. a) 3 dimes b) 2 dimes + 4 pennies c) 5 dimes + 1 penny d) 4 dimes + 5 pennies e) 3 dimes + 3 pennies f) 6 dimes + 7 pennies AP Book NS3-48 page 101 1. a) 2 b) 3 c) 6 d) 8 e) 6 f) 4 2. a) 20 b) 30 c) 80 d) 60 e) 40 f) 70 g) 90 h) 50 i) 90 j) 10 3. a) 50 b) 20 c) 80 d) 40 e) 10 f) 70 g) 90 h) 60 i) 30 4. a) 80 b) 70 c) 50 d) 30 e) 60 f) 10 5. a) 3, 70, 30; 33 b) 6, 80, 20; 26 c) 8, 60, 40; 48 d) 7, 50, 50; 57 e) 2, 30, 70; 72 f) 5, 90, 10; 15 6. a) 12 b) 35 c) 74 d) 53 e) 45 f) 63 g) 5 h) 42 i) 13 j) 8 7. a) 14 b) 19 AP Book NS3-49 page 102 1. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 2. a) 8, 9 b) 7, 8, 9 c) 6, 7, 8, 9 d) 0, 1, 2, 3 e) 0, 1, 2, 3, 4 f) 0, 1 g) 9 h) 0, 1, 2, 3, 4, 5, 6, 7 i) 5, 6, 7, 8, 9 j) 1, 3, 5, 7, 9 k) 0, 2, 4, 6, 8 l) 0, 2, 4, 6, 8 m) 0, 3, 6, 9 n) 0, 4, 8 o) 0, 5 3. a) 7, 9 b) 6, 8 c) 1 d) 0, 2, 4 e) 1, 3 f) 6, 8 g) 5, 6 h) 4 i) 0, 6 j) 3, 9 4. a) 9 b) 0 c) 7 AP Book NS3-50 page 105 1. Dimes Nickels a) 0 3 1 1 b) 0 5 1 3 2 1 c) 0 12 1 7 2 2 d) 0 18 1 13 2 8 3 3 e) 0 13 1 8 2 3 f) 0 17 1 12 2 7 3 2 9

page 10 2. 2 dimes = 20 cents 3 dimes = 30 cents Thus, 3 dimes is too much. 3. a) 1 dime and 3 pennies, 13 pennies b) 3 dimes and 1 nickel, 2 dimes and 3 nickles, 1 dime and 5 nickels, 7 nickels c) 3 quarters and 1 nickel, 2 quarters and 6 nickels, 1 quarter and 11 nickles, 16 nickels 4. a) Total legs: 8, 6, 4 b) Total legs: 12, 8, 4 5. a) 1 bird and 1 dog b) 1 cat and 2 birds 10