77 MMAATTHH EMP4054i WWOORRKKBBOOOOKK XX << 1188 == 11 66..2255mmmm 33 == yy 44 11 hh bb LLCCMM == 6600 33 22 xx -- >> == AA 3300xx ++ 2222yy 88 33 -- 11 22 5566 111122 ..662255 4433 66 66 .. 44 II == PP xx RR xx TT 33 2222%% 33..11441166 33 xx 22 xx 22 GG 11 22 == CCFF == 88 MILLIKEN PUBLISHING COMPANY (cid:127) 7 Math WORKBOOK Finally, a new workbook for seventh grade math! Basic skills are reviewed and expanded as students work through 58 pages of activities. Each page gives an example and step–by–step solution of the problem presented. Some of the many skills covered include a review of addition, subtraction, multiplication, and division, plus challenges in decimal fractions, exponential and scientific Author notation, primes, probability, percents, and basic geometric principles. Beverly Nance Six answer pages are provided. Project Manager E. Rohne Rudder Typesetting Pagecrafters, Inc. Cover Art E. Rohne Rudder Managing Editor Kathleen Hilmes Copyright ©1993 The purchase of this book entitles the individual purchaser to reproduce Milliken Publishing Company copies by duplicating master or by any photocopy process for single class- room use. The reproduction of any part of this book for commercial resale or for use by an entire school or school system is strictly prohibited. Storage of All rights reserved. any part of this book in any type of electronic retrieval system is prohibited unless purchaser receives written authorization from the publisher. Find each sum. Addition (three and four-digit addends) 425 + 325 + 550 = 3 20 + 1450 + 230 = 2000 150 + 200 + 425 = 1749 325 + 450 + 175 = 281 362 + 4567 1250 + 375 + 250 = 6959 310 + 420 + 1270 = 2550 + 320 + 430 = 3450 + 1250 + 375 = 8220 + 1210 + 970 = 1230 + 450 + 6720 = 275 + 450 + 1275 = 1315 + 1485 + 250 = 150 + 250 + 3450 = 9150 + 450 + 370 = 8 240 + 3510 + 450 = 1 235 + 1215 + 150 = 546 3456 5678 248 259 892 123 5687 652 1231 + 352 + 4567 + 5692 + 632 + 5678 1234 2468 247 9999 1111 5678 1357 1359 8888 3333 + 9018 + 1234 + 9994 + 7777 + 7777 6008 2080 5550 1991 1357 002 424 5050 2882 8023 + 5005 + 6586 + 5005 + 3773 + 4690 © Milliken Publishing Company 1 MP4054 Find each difference (mentally). Subtraction of large numbers 658 − 236 = 299 712 3000 831 892 − 451 = − 1235 − 258 1765 573 750 − 240 = 685 − 455 = cancelling and carrying 899 − 377 = 8246 − 3123 = 5489 − 3157 = 9876 − 5432 = 8240 − 6130 = 6812 − 4701 = 8613 − 8002 = 6425 − 5314 = 8249 − 1111 = 8 048 − 6040 = 9 753 − 8642 = Find each difference. 8000 6782 3451 2561 3040 − 4567 − 4998 − 2506 − 2489 − 1826 5043 3424 1234 8405 6500 − 2879 − 1567 − 456 − 2600 − 4305 6000 4200 1050 5060 7329 − 1358 − 2845 − 879 − 4699 − 5638 © Milliken Publishing Company 2 MP4054 Find each product (mentally). Mental Multiplication 2 × 100 × 8 = 4 × 100 × 6 = 2400 7 00 × 8 = 5600 6 × 100 × 5 = One, two, and three-digit multipliers 7 × 1000 × 8 = 875 123 5603 × 3 × 14 × 50 12 × 1000 × 3 = 2625 492 0000 123 28015 20 × 1000 × 6 = 1722 280,150 30 × 1000 × 8 = 5 × 1000 × 40 = 15 × 1000 × 20 = 3 × 1000 × 30 = 3 × 2000 × 4 = 6 × 2000 × 3 = 5 × 3000 × 2 = 7 × 4000 × 10 = 9 × 800 × 100 = 8 × 200 × 1000 = Find each product. 305 468 581 689 892 × 2 × 3 × 5 × 7 × 9 560 321 602 842 678 × 25 × 14 × 81 × 45 × 66 321 562 890 689 425 × 123 × 421 × 405 × 157 × 125 © Milliken Publishing Company 3 MP4054 Mental Division Find each quotient (mentally). 1600 ÷ 40 = 40 2500 ÷ 5 = 9 000 ÷ 300 = 30 Quotients with remainders 3600 ÷ 60 = 311 R7 ) 15 4672 900 ÷ 10 = 45 17 800 ÷ 20 = 15 22 350 ÷ 70 = 15 7 2800 ÷ 40 = 8100 ÷ 90 = 24,000 ÷ 600 = 3200 ÷ 800 = 4200 ÷ 70 = 7200 ÷ 80 = 15,000 ÷ 500 = 60,000 ÷ 2000 = 1 8,000 ÷ 100 = 2 1,000 ÷ 300 = Find each quotient with remainder. ) ) ) 4 2407 5 3716 8 1245 ) ) ) 9 1049 24 3641 35 2458 ) ) ) 9 1 9289 85 6541 135 12569 © Milliken Publishing Company 4 MP4054 Write > or < in each . Comparing whole numbers 2048 1468 468 and 480 5005 and 4998 288 301 4 68 < 480 5005 > 4998 Ordering from least to greatest 900,506 888,968 205, 285, 302, 216 64,506 8999 205 < 216 < 285 < 302 304,582 4,567,123 304,562 304,056 66,725 66,275 456,008 456,800 77,125 71,555 120,046 88,765 105,065 700,000 212,131 221,313 561,165 651,561 236,468 236,486 490,555 501,124 Put numbers in order from least to greatest. 502; 243; 462; 512 : 121; 108; 118; 111 : 865; 1000; 859; 721 : 645; 654; 651; 660 : 909; 919; 990; 900 : 532; 512; 522; 502 : 789; 795; 703; 765 : 5835; 5136; 5842 : 1004; 1100; 1010 : 4586; 4856; 4658 : © Milliken Publishing Company 5 MP4054 Round to the nearest 10. Rounding to the nearest 10 182 → 4637 → 4640 Rounding to the nearest 100 857 → 4637 → 4600 763 → Rounding to the nearest 1000 4 637 → 5000 456 → 1451 → Round to the nearest 100. 742 8042 7345 6190 995 123 568 1491 9999 4111 Round to the nearest 1000. 1258 6499 5671 1085 5555 8008 2944 3299 5712 3511 Round to the nearest ten thousand. 42,564 34,985 15,432 66,543 10,499 28,009 33,456 78,451 Round to the nearest million. 1,456,784 3,842,165 5,064,301 1,742,500 245,671,234 © Milliken Publishing Company 6 MP4054 Estimate each sum. Estimate by rounding: 26 + 39 = 67 + 21 ≈ 70 + 20 = 90 89 + 33 = 142 − 28 ≈ 140 − 30 = 110 41 + 51 = 28 + 32 = 57 + 68 = 129 + 139 = 899 + 642 = 751 + 849 = 292 + 353 = 439 + 521 = 728 + 862 = 1452 + 3123 = 2598 + 3788 = 8670 + 167 = 385 + 4621 = Estimate each difference. 89 − 41 = 62 − 29 = 48 − 22 = 31 − 19 = 56 − 28 = 77 − 43 = 128 − 21 = 267 − 149 = 508 − 409 = 485 − 68 = 721 − 139 = 241 − 189 = Estimate total by rounding to the nearest 10. 89 − 42 + 56 − 37 + 48 + 77 − 21 = 126 − 19 + 459 − 68 + 46 + 37 − 24 = © Milliken Publishing Company 7 MP4054 Estimate each product. Estimate by rounding to 1-digit accuracy: 895 × 39 = 691 → 700 709 × 21 = × 49 → × 50 35,000 267 × 34 = 2187 ÷ 54 → 2000 ÷ 50 ≈ 40 542 × 58 = 89 × 99 = 409 × 59 = 372 × 19 = 159 × 96 = 612 × 28 = 975 × 18 = 478 × 39 = 816 × 57 = 786 × 87 = 892 × 199 = 686 × 308 = Estimate each quotient. 3946 ÷ 49 = 6047 ÷ 18 = 369 ÷ 38 = 539 ÷ 87 = 238 ÷ 79 = 179 ÷ 59 = 4783 ÷ 49 = 7781 ÷ 371 = 8742 ÷ 268 = 1950 ÷ 190 = 2736 ÷ 289 = 3647 ÷ 187 = 5882 ÷ 291 = 6199 ÷ 307 = 395 × (621 ÷ 197) = © Milliken Publishing Company 8 MP4054