Number Sense 1 AP Book 3.1

Transcription

1 Number Sense 1 AP Book 3.1 page 1 AP Book NS3-1 page 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) c) d) e) f) g) h) i) j) AP Book NS3-2 page a) 7, 20, 300 b) 2, 90, 600 c) 1, 80, a) 30 b) 3 c) 30 d) 300 e) 3 f) 30 g) 300 h) 3 i) 300 j) 3 k) 30 l) a) 50 b) 200 c) 100 d) 80 e) 7 f) 800 g) 8 h) 9 i) 0 AP Book NS3-3 page 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) 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 a) 6 b) 8 c) 9 d) 32 e) 75 f) 82 g) 206 h) 312 i) 467 j) 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 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 = Answers will vary Teacher to check. AP Book NS3-6 page 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) b) c) d) e) f) g) h) a) 253 b) 468 c) 27 d) 999 e) 607 f) 560 1

2 page 2 g) 327 h) 802 i) 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) b) c) d) e) f) stamps, addition AP Book NS3-7 page NOTE: Teacher to check base-ten models. a) 3 tens + 2 ones; b) 4 tens + 3 ones; c) 5 tens + 2 ones; d) 1 ten + 6 ones; a) 26 b) 17 c) 32 d) 67 e) 36 f) 85 g) 76 h) 44 i) 92 j) 40 k) 79 l) 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 = 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) b) thirty-four forty-seven sixty forty-eight , 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 three hundred six 140 AP Book NS3-9 page a) 7, 30; 7, 40; 47 is greater than 37 b) 7, 40, 600; 7, 40, 500; 647 is greater than a) Circle tens; 475 b) Circle hundreds; 360 c) Circle ones; 858 d) Circle tens; 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; a) 311 b) 625 c) 721 d) 867 e) 480 f) 220 g) 125 h) 859 i) a) Sindi b) Anthony s AP Book NS3-10 page 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, 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) 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) a) 10 b) 100 c) 10 d) 100 2

3 page 3 e) 10 f) a) 538, 548 b) 872, 972 c) 502,, 522 d) 373, 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 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, a) 32 b) 98 c) 41 d) Greatest Least a) b) a) 62, 75, 87 b) 251, 256, 385 c) 327, 357, 385, 395 d) 402, 432, 434, 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 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, 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 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, 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 , 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, a) 70, 75, 80 b) 110, 115, 120 c) 250, 255, 260 d) 320, 325, 330 e) 565, 570, 575 f) 790, 795, 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 , 50, 48, 46, 44, 42, 40, 38, , 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, , 80, 70, 60, 50, 40, 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 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, a) 20 b) 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, a) 70, 60, 50 b) 60, 50, 40 c) 40, 30, 20 d) 90, 80, 70 AP Book NS3-17 page 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, a) 25 not 24 b) 60 not 61 c) 88 not 87 d) 35 not a) 25 b) 10 c) Teacher to check. AP Book NS3-18 page a) 400, 500, 600 b) 600, 700, 800 c) 700, 800, 900 d) 900, 1 000, a) 400 b) 600 c) Approx. 800 bikes 4. a) 200 b) 700 c) 300 d) 800 e) 900 f) 1 000

4 page 4 5. a) 500, 600 b) 1 800, 1 900, c) 900, d) 3600, a) 300, 200, 100 b) 600, 500, 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 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) = 5; 3 b) = 7; 4 c) = 9; 5 d) = 3; 9 e) = 7; 7 f) = 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 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) $ a) = b) = = c) = = d) = = 4 AP Book NS3-21 page Teacher to check base-ten models. 1. a) 56 b) 35 c) 56 d) 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) 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, 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 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) a) 32 b) 50 c) 107 d) 60 e) 112 AP Book NS3-24 page 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) a) 485 b) 593 c) 671 4

5 page 5 d) 583 e) a) 714 b) 635 c) 759 d) 795 e) 858 f) a) 54 b) 485 c) d) 962 e) 174 f) 808 g) h) a) b) c) d) AP Book NS3-25 page a) 22 b) 12 c) 23 d) 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; a) ; ; ; 14 b) ; ; ; 33 c) ; ; ; 26 d) ; ; ; 43 e) ; 0 + 4; ; 25 f) ; ; ; a) 16 b) 21 c) 16 d) 4 e) 34 f) 32 g) 35 h) 24 i) 12 j) 21 k) 53 l) Teacher to check. 6. a) 413 b) 641 c) 123 d) 235 e) 422 AP Book NS3-26 page 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) 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 a) 135 b) 243 c) 131 d) a) 514 b) 306 c) 546 d) a) 234 b) 126 c) 544 d) 43 AP Book NS3-28 page a) 1 + 6, 2 + 5, b) 1 + 3, c) 1 + 5, 2 + 4, a) 2, 8 b) 3, 7 c) 5, 5 d) 6, 4 e) 1, 9 4. a) b) c) d) e) f) a) 15 b) 17 c) 48 d) 59 e) 61 f) 23 5

6 page 6 g) 44 h) 36 i) 98 j) 97 k) 125 l) 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; = 12 b) 4, 1; = 31 c) 2, 4; = 84 d) 5, 3; = a) $45 b) 33 stickers = = 42 AP Book NS3-29 page 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; a) 5 blue; 2; 8 b) 5 blue; 1; 11 c) 5 green; 2; 12 AP Book NS3-30 page Teacher to check. 2. a) = 7; = = 4; 7 4 = 3 b) = 9; = = 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 $ years older kg m AP Book NS3-32 page a) Tens b) Hundreds c) Ones d) Thousands e) Thousands f) Hundreds g) Tens 2. a) b) c) d) a) three thousand two hundred seventyone b) five thousand eight hundred ninety-three c) one thousand two hundred thirty-one 4. a) = b) = c) = d) = a) b) a) b) c) d) AP Book NS3-33 page a) 4 b) Answers will vary. 2. a) 191 m, 275 m, 298 m b) 84 m c) 107 m 3. a) Answers will vary. 5. a) 700 litres b) Teacher to check. 6. a) 210 b) Yes 8. Since 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 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 = 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) Teacher to check arrays. 6. a) 4 5 = 20 b) 6 3 = 18 c) 5 3 = Yes, the products are the same since both arrays have 6 dots in total. AP Book NS3-35 page 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; a) = 6 b) = 12 c) = 8 d) = a) = 8 b) = 15 c) = 12 d) = 9 4. a) = 12 b) = 8 c) = a) 2; 4; 2 4 = 8 6

7 page 7 AP Book NS3-36 page 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) ; ; a) = 6; 3 2 = 6 b) = 20; 4 5 = 20 c) = 4; 2 2 = 4 d) = 12; 4 3 = 12 e) = 15; 3 5 = 15 f) = 14; 2 7 = 14 g) = 20; 4 5 = a) = 4 2 = 8 b) = 5 3 = 15 c) = 5 4 = 20 AP Book NS3-37 page 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, 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 a) 4 5 = b) 5 3 = c) 3 7 = d) 4 4 = e) 4 8 = f) 5 5 = Teacher to check arrays. 3. a) 4 2 = b) 5 7 = c) 8 3 = d) 3 6 = e) 7 4 = f) 9 6 = g) 5 4 = h) 8 7 = i) 7 6 = j) 6 4 = a) 5 3 = = = 15 b) 6 3 = = = 18 c) 6 4 = = = 24 d) 4 4 = = = 16 e) 6 6 = = = 36 f) 3 7 = = = a) 7 5 = = = 35 b) 9 3 = = = 27 c) 8 4 = = = 32 d) 11 2 = = = 22 AP Book NS3-39 page , 4, 6, 8, 10, 12, 14, 16, , 28, 24, 64, 128, 44, 26, 164, 102, 68, 108, 184, 148, , 30, 50, 74, 56, 36, 96, 34, 90, 132, 70, 92, 58, , 42, 56, 24, 36, 48, 32, 64, 36, 54, 72, a) 84 b) 74 c) 96 d) 70 AP Book NS3-40 page 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, Teacher to check. 3. a) 12 b) 10, 20 c) 3, 9 d) 2, 4, times 5. 4 km 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; cm; 10 cm; 14 cm = 18 books AP Book NS3-41 page legs = 10 2;10 or 0; pens 4. When you multiply a number by 1, the answer is the original number. 7

8 page ; Multiply to 12: 1 12; 2 6; 3 4 Multiply to 20: 1 20; 2 10; The product is greater. 8. The product is greater than the sum. No; they can be equal. Yes; = 2 2 = Symmetric about the diagonal; commutative property of multiplication (order of multiplication doesn t matter). AP Book NS3-42 page penny = 1 nickel = 5 dime = 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, a) 20, 25, 30, 35 b) 80, 85, 90, 95 c) 45, 50, 55, 60 d) 90, 95, 100, 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, a) 20, 30, 40, 50 b) 45, 55, 65, 75 c) 80, 90, 100, 110 d) 95, 105, 115, a) 5, 10, 15 16, 17, 18, 19 b) 5, 10 11, 12, 13, 14, 15 c) 5, 10, 15, 20, d) 5, 10, 15, 20 21, 22 e) 5, 15, 25 30, 35, 40 f) 10, 20, 30 35, 40, 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 quarter = 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 a) 25, 50, 75 76, 77 b) 25, 50, 75 80, 85 c) 25, 50 51, 52 d) 25, 50, 75 85, a) 25, 50, 60, 70 b) 25, 50, 75, 80, 81 c) 25, 50, 75, 100, 101 d) 25, 30, 35, 40, a) 45 b) 55 c) 80 d) 95 e) 33 f) 55 g) 82 h) a) 10, 20, 30 35, b) 25, 50 60, 70 71, 72, 73 c) 25, 50 55, 60 61, 62 d) 25, 50, 75 85, , 105 e) 25, 50 60, 70, 80 85, 90 91, a) 22 b) 61 c) 50 d) 47 e) 51 f) 47 g) , 50, 75, 100, 110, 120, 125, 130, 131 AP Book NS3-45 page a) 17 b) 35, 40 c) 72, 77 d) 23, 28 e) 86, 91 f) 50, a) 16 b) 31, 41 c) 59, a) 1 b) 10 c) 1 d) 1 e) 10 f) 10 g) 10 h) 5 i) 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 a) 1 nickel, 1 penny b) 4 pennies c) 1 nickel, 3 pennies d) 1 nickel, 4 pennies 8

9 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, a) 25 b) 75 c) 50 d) 50 e) 25 f) 75 g) 50 h) 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 quarter, 1 dime, 1 nickel, 2 pennies AP Book NS3-47 page a) 1, 2; 12 b) 2, 2; 22 c) 1, 4; 14 d) 4, 0; a) 23 b) 70 c) 41 d) 82 e) 39 f) 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 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) a) 50 b) 20 c) 80 d) 40 e) 10 f) 70 g) 90 h) 60 i) a) 80 b) 70 c) 50 d) 30 e) 60 f) 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; 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 , 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 Dimes Nickels a) b) c) d) e) f)

10 page 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