Number Sense AP Book 6.1

Transcription

1 Number Sense AP Book 6.1 page 1 AP Book NS6-1 page a) Tens b) Millions c) Hundred thousands d) Hundreds e) Ones f) Ten thousands g) Thousands 2. a) Thousands b) Millions c) Ones d) Ones e) Hundreds f) Ten thousands g) Tens h) Ten thousands i) Hundred thousands 3. a) b) c) d) e) 1 7 f) AP Book NS6-2 page a) 2; 70; 800; 4 000; ; b) 7; 30; 500; 8 000; ; a) 70 b) 700 c) 700 d) e) 7000 f) 7 g) 70 h) 7 3. a) 500 b) c) 80 d) e) 2 AP Book NS6-3 page a) millions b) thousands c) thousands d) millions 2. a) Three hundred seventy-five million b) Thirty-six thousand c) Seventy-nine million d) Seven hundred seventy thousand 3. a) b) c) a) Two hundred seventy-five million three hundred eighty-one thousand two hundred ten b) Eighty-nine million twenty-three thousand one hundred c) Nine hundred ninety-eight million three hundred twenty-five thousand five hundred ninety-three 5. Two hundred forty-eight million years ago; Two hundred fourteen million years ago; Two hundred six million years ago; Sixty-five million years ago. 6. Answers will vary. a) A number in the hundred thousands b) A number in the hundred millions 7. a) Fifty-seven million six hundred thousand b) One hundred seven million five hundred twenty thousand c) One hundred forty- eight million six hundred forty thousand 8. Four billion four hundred sixty-eight million six hundred forty thousand 9. Teacher to check, answers may vary. AP Book NS6-4 page a) b) c) 2 thousands + 3 hundreds + 2 tens + 8 ones = a) 3 thousands, 4 hundreds, 6 tens, 8 ones b) 1 thousand, 5 hundreds, 4 tens, 2 ones c) 2 thousands, 6 hundreds, 0 tens, 9 ones 3. a) b) AP Book NS6-5 page a) 2 millions + 5 hundred thousands + 3 ten thousands + 6 thousands + 7 hundreds + 8 tens + 4 ones b) 6 millions + 2 hundred thousands + 3 ten thousands + 5 thousands + 4 hundreds + 1 ones c) 3 millions + 5 ten thousands + 6 thousands + 2 hundreds + 6 ones 2. a) b) c) d) e) f) g) a) b) 868 c) d) e) f) g) BONUS: h) a) 40 b) 80 c) 700 d) 200 e) 2 f) g) 80 h) i) a) b) Teacher to check the base ten model sketch Eight thousand five hundred sixty four = 8 Thousands + 5 Hundreds + 60 Tens + 4 Ones 8564 = (39, 48, 57, 66, 75, 84, 93) 9. Teacher to check

2 page 2 AP Book NS6-6 page a) 5; 20; 700; 5; 30; 700; 735 > 725 b) 7; 20; 400; 7; 20; 500; 527 > a) b) c) d) e) f) g) 324 h) a) b) c) d) a) > b) < c) > d) < e) > f) > g) < h) > i) < AP Book NS6-7 page a) 10 more b) 100 less c) 10 more d) 10 more 2. a) less b) less c) 100 less d) more 3. a) more b) less c) less d) more e) more f) more 4. a) more b) less c) more d) less e) less f) less 5. a) less b) 100 less c) more d) less e) 10 less f) more 6. a) b) c) d) e) f) g) h) i) j) a) 236 b) c) d) e) f) g) 2863 h) 475 i) 737 j) k) l) m) n) a) 10 b) 100 c) 10 d) 100 e) 1000 f) 100 g) 100 h) 10 i) 100 j) k) BONUS: 9. a) 6 437, b) , c) d) a) is 10 less than b) is greater than c) is less than AP Book NS6-8 page a) 254, 416 b) 3 128, a) Forty-eight b) c) Ninety-four d) 662 e) Sixty thousand four hundred twenty-five 3. a) 67, 68, 76, 78, 86, 87 b) 24, 29, 42, 49, 92, 94 c) 20, 25, 50, a) b) c) a) b) c) Greatest Least a) b) c) The students in between numbers will vary teacher to check. 7. a) , , b) , , c) , , d) 195, 2 575, a) > b) < c) > d) < 10. a) Ottawa b) , , a) 999 b) c) There are 2 correct answers, example: and Answers will vary number will begin with 6 digit and end with either the 5 or 7 digit; the second digit can be 4, 5 or a) 4 b) 2 AP Book NS6-9 page a) 4 tens + 12 ones = 5 tens + 2 ones b) 2 tens + 18 ones = 3 tens + 8 ones 2. a) 5 tens + 3 ones b) 8 tens + 5 ones c) 1 tens + 4 ones d) 2 tens + 7 ones e) 3 tens + 2 ones f) 1 tens + 6 ones g) 1 tens + 1 ones h) 8 tens + 2 ones i) 9 tens + 3 ones 3. Hundreds Tens b) = 8 4 c) = 4 5 d) = 9 6 e) = 9 9

3 page 3 f) = a) 6 hundreds + 8 tens + 9 ones b) 2 hundreds + 7 tens + 5 ones c) 10 hundreds + 8 tens + 9 ones 5. T H b) = 4 2 c) = a) 7 thousands + 3 hundreds + 2 tens + 5 ones b) 6 thousands + 4 hundreds + 2 tens + 6 ones c) 9 thousands + 5 hundreds + 3 tens 7. a) 3 thousands + 3 hundreds + 2 tens + 5 ones b) 5 thousands + 2 hundreds + 8 tens + 6 ones c) 5 ten thousands + 7 thousands + 5 hundreds + 7 tens + 8 ones 8. Yes: Teresa needs blocks to build her model, and she has blocks. AP Book NS6-10 page a) tens ones b) tens ones a) 1, 3 Final answer: 33 b) 1, 0 Final answer: 60 c) 1, 6 Final answer: 76 d) 1, 2 Final answer: 92 e) 1, 2 Final answer: a) 71 b) 81 c) 91 d) 102 e) 73 f) 81 g) 78 h) 93 i) 82 j) 97 AP Book NS6-11 page hundreds + 8 tens + 3 ones; 2 hundreds + 4 tens + 5 ones; 6 hundreds + 12 tens + 8 ones; 7 hundreds + 2 tens + 8 ones. 2. a) 617 b) 826 c) 746 d) 846 e) a) 491 b) 617 c) 418 d) 624 e) 760 f) a) 795 b) 729 c) 941 d) 419 AP Book NS6-12 page thousands + 4 hundreds + 8 tens + 6 ones; 3 thousands + 7 hundreds + 1 tens + 3 ones; 8 thousands + 11 hundreds + 9 tens + 9 ones; 9 thousands + 1 hundreds + 9 tens + 9 ones. 2. a) b) c) d) e) a) b) c) d) e) a) b) c) d) e) f) g) h) i) j) a) b) c) d) a) b) c) d) e) f) g) a) 828 b) c) 1515 d) e) 989 f) g) AP Book NS6-13 page Tens Ones a) 4 13 b) 5 15 c) 3 15 d) a) 45 b) 28 c) 37 d) 18 e) a) Help; 8 is less than 9. b) No; 4 is greater than 3. c) Help; 5 is less than 7. d) No; 8 is greater than 2. e) No; 8 is greater than 5. f) Help; 1 is less than 5. g) No; 5 is greater than 4. h) Help; 6 is less than 8. i) Help; 5 is less than 6. j) Help; 3 is less than 7. k) Help; 6 is less than 9. l) No; 5 is greater than a) 185 b) 482 c) 373 d) a) 536 b) 124 c) 308 d) a) 478

4 page 4 b) 478 c) 473 d) a) b) c) d) a) b) c) d) a) b) c) d) a) 532 b) 68 c) d) AP Book NS6-14 page are girls stamps km people cans years 7. Answers will vary: The difference between a three-digit number and its reverse number is always 198 because regardless of the numbers, there will always be 198 numbers in-between km km AP Book NS6-15 page a) Vancouver Island Newfoundland Ellesmere Island Baffin Island b) km 2 c) km 2 d) No = Which is less than a) b) ; c) Teacher to check there are 16 correct answers. Example: d) a) OR b) OR c) OR a) Answer depends on the year (currently 471 yrs). b) Copernicus to Galileo: 67 years; Galieo to Newton: 57 years; Copernicus to Newton: 124 years AP Book NS6-16 page b) 3 rows; 5 dots in each row; 5 3 = 15 c) 4 rows; 5 dots in each row; 4 5 = a) 4 3 = 12 b) 2 5 = 10 c) 5 3 = 15 d) 7 2 = a) b) c) d) e) 4. a) 1 6; 2 3; 3 2; 6 1 b) 1 8; 2 4; 4 2; 8 1 c) 1 9; 3 3; 9 1 d) 1 10; 2 5; 5 2; 10 1 e) 1 12; 2 6; 3 4; 4 3; 6 2; : 1, 2, 3, 6 8: 1, 2, 4, 8 9: 1, 3, 9 10: 1, 2, 5, 10 12: 1, 2, 3, 4, 6, 12 AP Book NS6-17 page a) 1 b) No 2. 2, 3, 5, ,12, 14, 15, 16, 18, , 17, Primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, , 13; 17, 19; 5, 7. AP Book NS6-18 page a) 1, 5, 25 b) 1, 2, 4, 8 c) 1, 2, 3, 4, 6, 12 d) 1, 2, 4, 8, 16 e) 1, 3, 9 f) 1, 2, 3, 6, 9, 18 g) 1, 2, 5, 10, 25, 50 h) 1, 3, 5, 9, 15, 45 i) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 j) 1, 2, 3, 6, 7, 14, 21, Composite numbers: 30, 32, 33, 34, 35, a) Any primes less than 20 b) 6, 8, 10, 14 c) Cross out: 19, 34, , 20, Answers will vary. Example: 8, 9, , 21, 27, 33, = There are 5 prime numbers between 30 and 50.

5 page 5 AP Book NS6-19 page a) Bottom row: 2, 3, 2 b) Bottom row: 2, 2, 2, 2 c) Bottom row: 3, 2, 2, 2 2. a) b) c) d) a) b) c) d) e) Answers will vary. Examples: 1 st branch 24 2 nd branch 8 x 3 3 rd branch 4 x 2 x 3 4 th branch 2 x 2 x 2 x3 OR 3. a) 15; 150; b) 6; 60; 600 c) 12; 120; d) 20; 200; a) 210 b) 150 c) 120 d) 240 e) f) g) 400 h) i) j) k) 160 l) Teacher to check With three extra zeros after the three (3000), you need to move the decimal point over three places to the right. If 6 x 3 = 18, 6 x 3000 = a) 36 b) 156 c) 186 d) 147 e) 155 f) 129 g) 306 h) 88 i) 2084 j) k) l) 888 m) n) o) 848 p) a) b) AP Book NS6-22 page a) 153 b) 246 z) 332 aa) 186 bb) 639 cc) 159 dd) 186 ee) 88 ff) 128 gg) 255 hh) 567 ii) a) 189 b) 300 c) 305 d) 188 e) 168 AP Book NS6-23 page a) 1, 2 b) 1, 5 c) 2, 0 d) 3, 6 e) 1, 8 1 st branch 24 2 nd branch 12 x 2 3 rd branch 3 x 4 x 2 4 th branch 3 x 2 x 2 x 2 AP Book NS6-20 page a) 5 3 tens = 15 tens = 150 b) 3 4 tens = 12 tens = a) 3 6 tens = 18 tens = 180 b) 6 5 tens = 30 tens = 300 c) 4 5 tens = 20 tens = 200 d) 5 4 tens = 20 tens = 200 AP Book NS6-21 page a) b) a) = = 65 b) = = 84 c) = = 129 d) = = 864 e) = = 936 f) = = c) 124 d) 204 e) 255 f) 366 g) 249 h) 148 i) 188 j) 168 k) 166 l) 205 m) 217 n) 128 o) 126 p) 189 q) 88 r) 279 s) 205 t) 549 u) 567 v) 276 w) 368 x) 156 y) a) 96 b) 105 c) 75 d) 78 e) 64 f) 92 g) 144 h) 75 i) 87 j) a) 70 b) 90 c) 90 d) 75 e) 96 f) 135 g) 256 h) 210 i) 182 j) 368

6 page 6 AP Book NS6-24 page a) x2 = = 468 b) x3 = = a) 164 b) 868 c) 936 d) 248 e) a) 454 b) 864 c) 672 d) 872 e) a) 728 b) 906 c) 968 d) 855 e) a) 670 b) c) 792 d) e) 992 f) Teacher to check drawings. a) 228 b) 888 c) 969 AP Book NS6-25 page a) 150 b) 150 c) d) a) 1 b) 2 c) 3 3. a) 60; 600; 6 000; b) 360; 3600; ; c) 850; 8 500; ; a) 190 b) 560 c) 830 d) e) f) g) h) 230 i) j) k) l) a) = 300 b) = 200 c) = 600 d) = 700 e) = 7000 f) = x 38 = 456. Al s weekly income is $ a) b) = dimes = $ pennies = $ dimes is greater. AP Book NS6-26 page a) 3 10 b) 4 10 c) 7 10 d) a) b) c) a) = 480 b) = 960 c) = 480 d) = a) 990 b) c) d) e) 840 f) g) h) i) j) k) l) m) n) o) p) a) = b) = c) = d) = e) = f) = 400 AP Book NS6-27 page a) 60 (carry 1) b) 20 (carry 4) c) 60 (carry 1) d) 90 e) 50 (carry 3) 2. a) 810 b) c) d) e) 910 f) g) 840 h) i) 720 j) b) = = 690 c) = = AP Book NS6-28 page a) 72 b) 108 c) 198 d) 248 e) 80 f) 75 g) 108 h) 144 i) 204 j) a) b) 900 c) d) e) a) 210; 700 b) 91; 390 c) 128; d) 225; e) 32; 640 f) 180; g) 115; 920 h) 108; 360 i) 184; j) 225; a) 728 b) c) d) e) a) b) c) d) e) a) 805 b) 5 184

7 page 7 c) d) a) 7 d) 5; 8; 8 d) cm b) 2 2. a) 1 e) c) 4 b) 1 f) d) 3 c) 2 9. No (952 minutes) e) 9 d) 2 AP Book NS6-29 page a) 2 b) 7 f) 9 g) 5 e) 2 f) , 90, 32, 56, 36, 34, 70, 110, a) Teacher to check. b) Yes they will. c) Teacher to check. 3. a) 350 b) c) d) e) f) g) h) i) C is the fastest. Converting to the same units (pages/second): A 0.5 pages a second. 30 pages a minute. B 1.5 pages a second. 90 pages a minute C 2 pages a second. 120 pages a minute D 1.33 pages a second. 80 pages a minute 5. a) $4.80 b) $ $2.50 = $8.90 c) $8.50 AP Book NS6-30 page a) b) c) Cross out: 13, 50, 2, , 35, 49, 63, a) b) c) c) 4 AP Book NS6-31 page a) Cups; 2; 4 b) Orange; 3; 2 2. a) Books; 4; 8 b) Flowers; 6; 4 c) Apples; 4; 5 d) Trees; 7; 3 3. Teacher to check. AP Book NS6-32 page a) 6 b) 4 2. a) 4 per set b) 3 per set 3. 3 per set 4. a) 3 sets b) 7 sets c) 4 sets 5. a) 2 sets of 9 b) 3 sets of 6 6. c) Stickers; 2 sets d) Pictures; 8 per set e) Children; 3 sets f) Flowers; 5 sets 7. a) 7 b) 2 c) 4 sets d) 5 dots in each set AP Book NS6-33 page a) 4 b) 2 2. a) 15 3 = 5 b) 10 2 = 5 h) 7 i) 9 j) 8 k) 6 l) 5 m) 6 n) 7 o) AP Book NS6-34 page No. 4 pancakes on each plate. (1 remainder) 2. a) 3; 1 b) 4; 1 3. a) 13 3 = 4 R1 b) 19 3 = 6 R1 c) 36 5 = 7 R1 d) 33 4 = 8 R1 e) 43 7 = 6 R = 3 R1. Each friend will get 3 apples. There will be one left over 5. 3 groups of 2; 3 groups of 3; 3 groups of groups of 9; 3 groups of 6; 6 groups of 3; 9 groups of 2. AP Book NS6-35 page a) 2; 5; 3 b) 5; 7; 1 c) 4; 9; 5 g) 1 h) 2 i) 1 j) 1 3. a) 4 groups; 2 tens in each group b) 3 groups; 3 tens in each group c) 6 group; 1 tens in each group d) 2 groups; 4 tens in each group 4. a) 3 groups; 8 tens; 2 tens in each group; 6 tens altogether b) 4 groups; 9 tens; 2 tens in each group; 8 tens altogether 5. a) 1; 5 b) 2; 6 c) 2; 8 d) 1; 5 e) 1; 9 f) 1; 8 g) 1; 5 h) 4; 8 i) 1; 7 j) 1; 8 k) 2; 6 l) 2; 8 m) 2; 8 n) 1; 5 o) 1; 8 p) 4; 8 q) 1; 6 r) 4; 8 s) 1; 7 t) 2; 6 6. a) 1; 7; 2

8 page 8 b) 2; 6; 1 c) 3; 6; 0 d) 1; 4; 3 e) 1; 6; 2 f) 1; 7; 1 g) 1; 7; 1 h) 2; 6; 2 i) 1; 5; 2 j) 1; 4; 1 7. a) 1; 5; 25 b) 1; 7; 17 c) 2; 8; 13 d) 3; 6; 13 e) 3; 6; 14 f) 1; 8; 17 g) 1; 4; 36 h) 3; 9; 04 i) 1; 7; 21 j) 1; 9; a) 18; 5; 44 b) 21; 8; 07 c) 37; 6; 15 d) 17; 3; 21 e) 14; 5; 22 f) 12; 7; 15 g) 47; 8; 15 h) 12; 8; 16 i) 30; 9; 02 j) 46; 8; a) 16 R1 b) 13 c) 28 d) 25 e) 32 f) 17 R3 g) 16 R4 h) 12 i) 12 R1 j) 10 R5 k) 11 R3 l) 19 R1 m) 10 R4 n) 13 R3 o) 16 R = 12 R3. There are 3 left over weeks rows; 6 books left over 13. $ cherries each; Wendy has 4 left over, while Saran has only 1 left over. AP Book NS6-36 page Teacher to check. 2. a) 157 R1 b) 278 R1 c) 145 R5 d) 124 R3 3. b) 94 R2 c) 33 R2 d) 52 R3 4. a) 38 R1 b) 85 R1 c) 53 R1 d) 63 R1 e) 73 R1 f) 305 g) R3 h) R2 i) 446 R1 j) 316 R m km AP Book NS6-37 page a) 300 b) 30 c) 3 2. a) b) The decimal moves one place to the left every time. 4. First deal ($144 vs $160). 5. Teacher to check, answers will vary = 14 R2 so 15 tents will be needed for 58 people stickers each; 5 remaining weeks or 98 days = 12 R3 so 13 trips are needed to move all the boxes. AP Book NS6-38 page or $ a) 25 b) $ Yes (prime number 3); otherwise, no Ticket cost: $42; Amount paid with: $ a) The pattern always turns into (other than 1 & 2) b) 7 c) The snakes is longer but the pattern eventually turns into AP Book NS6-39 page a) 0 b) 10 c) 0 d) a) i) 1, 2, 3, 4 ii) 6, 7, 8, 9 b) Equal distance between 0 and a) 10, 20, 30, b) c) a) 20 b) 10 c) 40 d) 80 e) 250 f) a) 100, b) 0, 6. Equal distance to both 0 and a) 100 b) 0 c) 100 d) 0 8. a) 600 b) 700 c) 800 d) a) 200 b) 700 c) 700 d) a) 0, b) 1 000, 11. a) 0 b) c) a) 3 000, b) 4 000, 13. a) b) c) d) 2 000

9 page If the number in the hundreds place is 500 or greater, you round up to the nearest thousand. If the number in the hundreds place is 499 or less, you round down to the nearest thousand. AP Book NS6-40 page a) 40 b) 50 c) 20 d) 60 e) 80 f) 80 g) 30 h) 40 i) a) 660 b) 270 c) 150 d) 360 e) 420 f) 570 g) 130 h) 470 i) a) 300 b) 500 c) 600 d) 300 e) 200 f) 400 g) 500 h) 800 i) a) 200 b) 300 c) 600 d) 300 e) 900 f) a) b) c) d) e) f) a) 3. r.d. b) 1. r.d. c) 6. r.d. d) 3. r.u. e) 4. r.u. f) 1. r.d. 7. a) r.d b) r.d c) r.d d) r.d e) r.d f) r.d a) b) c) d) e) f) g) AP Book NS6-41 page a) = 60 b) = 80 c) = 40 d) = 30 e) = 90 f) = 40 g) = 50 h) = 90 i) = 130 j) = 30 k) = 80 l) = 90 m) = b) = 900 c) = 400 d) = 200 e) = 900 f) = 300 g) = 800 h) = 1000 i) = 1000 j) = 400 k) = 700 l) = 800 BONUS: 3. b) = c) = d) = a) = b) = c) = AP Book NS6-42 page a) b) c) d) a) = b) = c) = d) = a) 6 $5 = $30 b) 5 $3 = $15 c) 8 $8 = $64 6. Answers will vary: 1 999; 2 500; 3 333; 4 250; 5 200; 6 167; 7 143; 8 125; Hundreds = 1800; so her estimate is a little high 9. a) b) Answers will vary. 10. Rounding to the nearest hundreds gives a better estimate. AP Book NS6-43 page Predictions may vary. a) D b) B c) B d) E 2. a) Rounding b) Front-end estimation c) Round one up and the other down d) Answers may vary. None of the listed methods would be overly effective for d). 3. a) Too high b) Too low c) Correct 4. Teacher to check. a) b) 747 c) d) e) f) g) a) Answers will vary. Correct example: 1392 b) Answers will vary. Correct example: a) Answers will vary. Correct example: measuring the length of one loonie, then multiplying it by b) Answers will vary. Correct example: calculating the number of seconds in a day, then multiplying it by 365. AP Book NS-44 page a) 10, 20, 30, 35, 40, 41 b) 25, 50, 55, 60, 61, 62, 63

10 page 10 c) 25, 50, 60, 70, 71, 72 d) 25, 50, 75, 85, 95, 100, 105 e) 25, 50, 60, 70, 80, 85, 90, 91, 92, 93, a) 37 b) 95 c) 150 BONUS: d) 114 e) 172 f) 90 g) a) 48 b) 97 c) 86 d) 76 BONUS e) 119 AP Book NS-45 page a) 2 dimes b) 2 quarters c) 3 dimes d) 1 quarter 2. a) 5, 1 b) 25, 5 c) 10, 5 d) 25, 5 e) 25, 5 f) 10, 5 g) 10, 10 h) 10, 5 i) $1, $1 j) $2, $1 k) $2, $2 l) $2, $1 m) 25, 1 n) 1, 5 3. a) 25, 5 b) 5, 1, 1, 1 c) $2, $1 d) $1, 25, 25, 10, toonie, 1 loonie, 3 quarters, 5 nickels or 3 loonies, 2 quarters, 5 dimes 5. Answers will vary. AP Book NS-46 page a) 50 b) 50 c) 75 d) 75 e) 25 f) 50 g) 25 h) 0 i) 75 j) a) , 1, 1, 1, 1 b) 10, 5, , 1 c) , 1 d) 10, 5, a) 25, 5 b) $1 c) $1, 10, 5 d) $1, 25, 5 e) $2, 25 f) $2, $2, 25, 25, 5, 1, 1 4. a) $1, 25, 25, 25 b) 25, 25, 10, 5 c) $2, $2, $2, $2, d) $2, $2, $2, $2, $1, 25, 25, 10 e) $2, $2, $2, $2, $2, 25, 25, 25, sub 10 su 5 sub 1 b b) c) d) e) f) a) $40 b) $20 c) $20 d) $40 e) $60 7. $50 $20 $10 $5 $2 $1 a) b) c) d) e) a) 25, 25, 25 b) 25, 10, 10, 1 c) 25, 25, 25, 5, 1 d) 25, 25, 25, 10, 10, 1, 9. a) $50, $5 b) $50, $10, $5, $2, $1 c) $50, $20, $2 d) $100, $20, $5 e) $50, $10, $2, 25, 10 f) $20, $20, $2, $1, 10, 1, 1, 1 g) $50, $5, $2, 25, 25, 25, 5, 1 h) $50, $20, $1, 10, 1, 1 i) $50, $10, $2, $1, 5, 1 j) $100, $50, $5, $2, $1, 25, 25 k) $50, $20, $20, $2, 25, 25, 25, 5, 1, 1, 1 l) $20, $10, $5, 10, 10, 1, 1, 1 AP Book NS-47 page $ Total a) $1.73 b) $3.72 c) $0.37 d) $ a) 7 = $0.07 b) 30 = $0.30 c) 90 = $0.90 d) 3 = $0.03 e) 11 = $0.11 f) 25 = $0.25 g) 20 = $0.20 h) 175 = $1.75 i) 80 = $0.80 j) 1000 = $10.00 k) 800 = $8.00 l) 200 = $ $ Total a) $4 55 $4.55 b) $25 40 $25.40 c) $20 51 $ a) 105 ; $1.05 b) 106 ; $ a) $4.37 b) $0.40 c) $0.05 d) $3.48 e) $ a) 239 b) 553 c) 641 d) 6 7. a) $2.96 b) 107 c) $0.70 d) 686 e) 640 f) a) Seven dollars and seventy cents b) Nine dollars and eighty-three cents c) Fifteen dollars and forty cents 9. a) $48.51 b) $55.40 c) $ $ , 25, 25, 5, 5, 12. $2, $2, 25, 25

11 page $2, $2, $2, $2, $2, 5, 10, 10 OR $2, $2, $2, $1, $1, $1, $1, a) Four dollars and eighty-five cents b) Thirteen dollars and twenty-four cents c) Eight dollars and twenty-five cents d) Four hundred sixty one dollars and ninety-nine cents e) Three hundred eighty five dollars and ninety nine cents f) Four thousand five hundred twenty three dollars and two cents AP Book NS-48 page a) 6 b) 9 c) 6 d) 7 e) 4 f) 5 g) 2 h) 1 i) 2 2. a) 10 b) 60 c) 80 d) 30 e) 90 f) 40 g) 50 h) 70 i) a) 20 b) 30 c) 80 d) 40 e) 50 f) 70 g) 90 h) 60 i) a) 80 b) 60 c) 50 d) 30 e) 60 f) a) 44 b) 17 c) 46 d) 75 e) 53 f) a) 26 b) 53 c) 64 d) 47 e) 28 f) 65 g) 3 h) 41 i) 11 j) 8 7. a) 13 b) change: 25, 25, 5, 1, 1, 1 9. a) $8.00 b) $6.00 c) $6.00 d) $6.00 e) $3.00 f) $ a) $23 b) $62 c) $47 d) $ a) $16 b) $75 c) $54 d) $12 e) $ $ a) $67.15 b) $13.73 c) $47.81 d) $33.57 AP Book NS-49 page a) $9.61 b) $78.57 c) $ a) $62.36 b) $92.55 c) $ d) $ e) $ f) $ a) $ b) $ c) $ a) $64.90 b) Paint set & pallette c) No. You would need $ d) $ $ = $7.23 more e) Answers will vary. 5. a) Yes: the total would be $ b) Yes: the total would be $ a) $12.80 b) 8 c) 6 d) No. It would cost $ e) 3 snowboards 7. a) 100 b) 200 c) Teacher to check. AP Book NS-50 page a) $2.33 b) $4.42 c) $5.66 d) $5.01 e) $ a) $1.22 b) $2.67 c) $4.42 d) $30.71 e) $7.11 f) $ $ $ $ $12.99 AP Book NS-51 page a) Total = $51.26 b) Total = $74.76 c) Total = $ a) 70 b) 50 c) 90 d) 30 e) 30 f) 10 g) 90 h) 20 i) Circle: a), d), e) 4. a) $7 b) $38 c) $4 d) $100 e) $26 f) $59 g) $365 h) $17 i) $124 j) $ b) Estimate: $5.00 Answer: $4.40 c) Estimate: $9.00 Answer: $9.18 d) Estimate: $7.00 Answer: $7.18 e) Estimate: $11.00 Answer: $11.27 f) Estimate: $78.00 Answer: $77.99

12 page 12 g) Estimate: $92.00 Answer: $ $40 7. $5 8. About $90 9. Rounding to the nearest dollar in this question, would suggest that Hannah and Ali have the same amount of money. This would be inaccurate because Hannah has about 80 cents more. 10. a) Estimate: $10 Answer: $8.77 b) Estimate: $1 900 Answer: $ AP Book NS-52 page M Tu W Th F a) Teacher to check. b) i) 1 ii) 5 iii) 2 c) Three 3. a) 7 degrees b) 5 degrees c) + 8 degrees 4. a) Uranus b) About 100 degrees c) About 580 degrees 5. a) Dog b) years c) years d) Teacher to check, answers will vary. 6. Mackerel: -200m Gulper: m Gulper live 800 meters below the Mackerel 7. Five 8. Because they are closer to zero. AP Book NS-53 page a) nickels pennies b) dimes nickels c) nickels pennies d) dimes pennies e) quarter s f) quarter s nickels nickels quarters nickels He stops at 2 quarters because 3 quarters is 75 (and that s larger than 60 ). 3. a) dimes nickels b) quarter s dimes a) 1 st no. 2 nd no b) 1 st no. 2 nd no quarters dimes a) quarter s dimes b) quarter s dimes Width Length a) 1 st no. 2 nd no b) 1 st no. 2 nd no c) 1 st no. 2 nd no d) 1 st no. 2 nd no