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Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 17 CHAPTER Whole Numbers Section 1.1: An Introduction to the Whole Numbers VOCABULARY The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and are the digits 18 9 19 The set of whole numbers is {0, 1, 2, 3, 4, 5, …} When we write five thousand eighty-nine as 5,089, we are writing the number in standard form To make large whole numbers easier to read, we use commas to separate their digits into groups of three, called periods When 297 is written as 200 + 90 + 7, we are writing 297 in expanded form 21 The symbols { }, called braces, are used when writing a set Using a process called graphing we can represent whole numbers as points on a number line 22 The symbol > means is greater than, and the symbol < means is less than The symbols < and > are inequality symbols If we round 627 to the nearest ten, we get 630 20 NOTATION CONCEPTS 10 11 12 a 5467010 = 5,467,010 b seventy-two million, four hundred twelve thousand, six hundred thirty-five a forty b ninety c sixty-eight d fifteen GUIDED PRACTICE a tens 23 b c hundreds d 24 a thousands b c ten thousands d 25 a millions b c ten millions d 26 a hundred thousands b c billions d 27 93 = ninety-three 28 48 = forty-eight 29 732 = seven hundred thirty-two 30 259 = two hundred fifty-nine 31 154,302 = one hundred fifty-four thousand, three hundred two 32 615,019 = six hundred fifteen thousand, nineteen a 81,692 b 965,347 13 14 15 INSTRUCTOR USE ONLY 16 33 14,432,500 = fourteen million, four hundred thirty-two thousand, five hundred © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Tussy/Koenig Prealgebra, 5e 104,052,005 = one hundred four million, fifty-two thousand, five 69 970,031,500,104 = nine hundred seventy billion, thirtyone million, five hundred thousand, one hundred four 71 5,800,010,700 = five billion, eight hundred million, ten thousand, seven hundred 73 74 35 73,900, since 66,000, (since , 981 rounds to 1,000) 5,347,000, (since , 975 rounds to 1,000) 2,581,000, (since , 952 rounds to 1,000) 3,429,000, (since , 961 rounds to 1,000) 37 82,000,415 = eighty-two million, four hundred fifteen 75 53,000 ; 50,000 38 51,000,201,078 = fifty-one billion, two hundred one thousand, seventy-eight 76 85,000 ; 90,000 77 77,000 ; 80,000 39 3,737 78 34,000 ; 30,000 40 15,492 79 816,000 ; 820,000 41 930 80 536,000 ; 540,000 42 640 81 297,000 ; 300,000 43 7,021 82 499,000 ; 500,000 44 4,500 83 45 26,000,432 46 92,000,018,399 47 245 = 200 + 40 + 48 518 = 500 + 10 + 49 3,609 = 3,000 + 600 + 50 3,961 = 3,000 + 900 + 60 +1 51 72,533 = 70,000 + 2,000 + 500 + 30 +3 52 73,009 = 70,000 + 3,000 + 53 104,401 = 100,000 + 4,000 + 400 + 54 570,003 = 500,000 + 70,000 + 55 8,403,613 = 8,000,000 + 400,000 + 3,000 + 600 + 10 + 87 40,025 56 3,519,807 = 3,000,000 + 500,000 +10,000 + 9,000 + 800 + 88 7,000,077 57 26,000,156 = 20,000,000 + 6,000,000 + 100 + 50 + 89 202,036 58 48,000,061 = 40,000,000 + 8,000,000 + 60 + 90 7,000,000,350 91 27,598 92 7,452,860 93 10,700,506 94 86,412 34 35 36 85 86 a 11 > b 29 < 54 60 a 410 < 609 b 3,206 < 3,231 61 a 12,321 > 12,209 b 23,223 < 23,231 62 a 178,989 > 178,898 b 850,234 < 850,342 64 65 66 45 26,740, since 512,970, since 621,120, since 8,400, since 1,800, since 98,150, since 72 84 59 63 70 32,400, since a 79,590 b 79,600 c 80,000 d 80,000 a 5,926,000 b 5,930,000 c 5,900,000 d 6,000,000 a $419,160 b $419,200 c $419,000 d $420,000 a 5,436,480 ft b 5,436,500 ft c 5,436,000 ft d 5,440,000 ft APPLICATIONS Aisha is the closest to $4,745 without being over 95 INSTRUCTOR USE ONLY 67 68 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 96 T Roosevelt 42 yr/ 322 days G Cleveland 47 yr/351days J Kennedy 43 yr/236 days F Pierce 48 yr/101 days W Clinton 46 yr/154 days J Garfield 49 yr/105 days U Grant 46 yr/236 days J Polk 49 yr/122 days B Obama 47 yr/169 days M Filmore 50 yr/184 days 97 a The 1970s, with successful missions b The 1960s, with unsuccessful missions c The 1960s, with 12 missions d The 1980s 98 a Golf, at 205mph b Ping-Pong, at 70mph c Tennis, at about 155mph 100 99 101 Fifteen thousand, six hundred one Three thousand, four hundred thirty-three 102 a This diploma awarded this the twenty-seventh day of June, two thousand fourteen b The suggested contribution for the fundraiser is eight hundred fifty dollars a plate, or an entire table may be purchased for five thousand, two hundred fifty dollars 103 1,865,593 ; 482,880; 1,503; 269; 43,449 104 6,504 kwh used 105 a hundred thousands b 980,000,000; 900,000,000+80,000,000 c 1,000,000,000; one billion INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Tussy/Koenig Prealgebra, 5e 106 WRITING 107 To round 687 to the nearest ten, look to the right of the tens place Since this digit is 7, increase the in the tens place to and make the ones place a zero So, to the nearest ten, 687 is approximately 690 108 The lower priced homes are roughly $130,000 109 Because 1,000 (3 zeros) is a thousand 1s, so 1,000,000 is a thousand thousands 110 A figure income is any income between $100,000 and $999,999 The commutative property of addition states that the order in which whole numbers are added does not change their sum The associative property of addition states that the way in which whole numbers are grouped does not change their sum To see whether the result of an addition is reasonable, we can round the addends and estimate the sum The words rise, gain, total, and increase are often used to indicate the operation of addition The words fall, lose, reduce, and decrease often indicate the operation of subtraction The figure on the left is an example of a rectangle The figure on the right is an example of a square Together the length and width of a rectangle are called its dimensions Length Width When all the sides of a rectangle are the same length, we call the rectangle a square Because “and” is used to represent decimals and mixed numbers 10 The distance around a rectangle is called its perimeter 113 Two hours is too long to wait! 11 114 a Two thousand, sixteen is less than two thousand, one hundred six b Seven million, eighty thousand, eight is greater than seven million, eight thousand, eight hundred 111 , 10 , , 1,000 , 80 12 , , 100 , , 112 VOCABULARY 10 15 25 addend addend sum When using the vertical form to add whole numbers, if the addition of the digits in any one column produces a sum greater than 9, we must carry 10 subtrahend 15 difference 12 If the subtraction of the digits in any place value column requires that we subtract a larger digit from a smaller digit, we must borrow or regroup 13 Every subtraction has a related addition statement For example – = because + = 14 To evaluate an expression such as 58 – 33 + means to find its value Section 1.2: Adding and Subtracting Whole Numbers 25 minuend CONCEPTS a commutative property of addition 15 b associative property of addition c associative property of addition INSTRUCTOR USE ONLY d commutative property of addition © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 16 a 19 + 33 = 33 + 19 29 305 b + (97 + 16) = (3 + 97) + 16 17 The subtraction – = is related to the addition statement + = 18 The operation of addition can be used to check the result of a subtraction If a subtraction is done correctly, the sum of the difference and the subtrahend will always equal the minuend 461 30 19 20 To evaluate (find the value of) an expression that contains both addition and subtraction, we perform the operations as they occur from left to right NOTATION The symbols ( ) are called parentheses It is 21 standard practice to perform the operations within them first 83 – 30 is correct 23 12 15 12 17 29 24 785 31 GUIDED PRACTICE 25 25 1 4,301 789 3,847 8,937 32 1 5,57 649 1,922 8,147 33 13 8 12 13 8 12 13 20 33 34 19 7 13 19 7 13 19 20 39 35 94 37 94 6 37 36 11 25 30 647 138 To answer questions about how much more, or how many more, we can use subtraction 22 15 100 37 137 36 13 92 88 92 8 88 100 88 188 38 37 26 47 12 59 700 800 10, 000 20, 000 27 406 283 6, 000 37,500 689 28 213 751 964 INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Tussy/Koenig Prealgebra, 5e 38 400 51 405 400 2,562 10, 000 40, 000 39 2,967 52 1, 736 8, 000 304 58,800 1, 432 600, 000 53 13 8, 20, 000 300, 000 100, 000 1, 020, 000 40 54 12 55 15 1, 220, 000 42 127 91 127 91 436m 43 17 17 17 17 68in 44 20yd 45 94 94 94 94 376mi 46 56 56 56 56 224 ft 47 87 87 186cm 48 77 76 77 76 306in 56 9,516 13 6 4,1 57 14 10 16 4, 2,8 1, 7 13 10 13 9, 4, 7, 642 283 11 4, 7,989 9, 799 6, 347 50 11 6, 58 49 27 7, 5 300, 000 32 12 32 12 88 ft 11 7, 20, 000 41 8, 800, 000 100, 000 16 4, 59 13 10 12 8, INSTRUCTOR USE ONLY ,9 4, 4 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 60 14 10 16 75 3, 430 9, 529 1, 2,901 7,7 7 76 61 123 175 298 correct 62 132 237 369 incorrect 63 1,364+3,275=4,629 incorrect 64 65 2, 470 1, 607 77 51, 246 578 1,129 1,569 2,698 correct 37 4,599 70, 000 56, 460 4, 000 66, 000 66 78 73, 422 26 47, 000 68 4, 689 50, 000 3, 000 67 863 433 78,570 80, 000 30, 000 79 633 598 30 35 30 65 50, 000 80 600 497 60 103 60 163 70, 000 81 45 16 45 20 65 82 63 23 70 23 93 40, 000 30, 000 69 35 12 23 29 83 20,007 78 19,929 70 47 23 24 28 84 70,006 48 69,958 71 574 47 13 621 13 608 85 852 695 40 157 40 197 72 863 39 11 902 11 891 86 397 348 65 49 65 114 TRY IT YOURSELF 73 8,539 87 347 7,368 15,907 74 632 979 88 423 5, 799 570 6,879 993 INSTRUCTOR USE ONLY 12, 678 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Tussy/Koenig Prealgebra, 5e 89 103 15, 700 15,397 4(26) = 104 inches total 303 90 104 209 + 209 + 209 + 209 = 836 ft of fence 34, 799 105 2,009 – 291 = 1,718 lbs 801 106 The greatest increase occurred from 2010 to 2011 35, 600 91 16, 427 13,573 30,000 92 18,788 13,567 32,355 93 7,175 – 6,132 = 1,043 markets 50, 009 1, 249 48, 760 94 107 71,649 – 70,154 = 1,495 miles 108 231 – 197 = 34 lbs lost 109 5,577,717 – 2,010,879 = 3,566,838 magazines 110 a 2005 – 2006: 17,465 – 17,371 = 94 patients 20, 020 b 2007 – 2008: 16,737 – 16,646 = 91 patients 2,198 111 1,947 183 1,764F 112 67 – 33 = 34 cm for the motor 113 a $49,565 17,822 APPLICATIONS 24 + 35 + 16 + 16 = 91 ft 95 96 540 + 230 + 160 + 210 = 1,140 calories 97 241,288,000 + 57,253,000= 298,541,000 visitors 98 Number of safe bridges Number of bridges that need repair 457,828 99 48 – 2(11) = 48 – 22 = 26 inches each side 69,220 Number of outdated bridges that should be replaced Total number of bridges 77,412 604,460 b 50,887 – 49,565 = $1,322 114 a $50,751 b 53,531 – 50,751 = $2,780 WRITING 115 Benefit : faster ; Tradeoff : less accurate 116 Something is wrong – he needs to check his work 117 Because taking things from things is not equivalent to taking things from things 118 By adding the difference to the subtrahend, you should get the minuend 1,621 + 4,052 + 2,162 + 540 + 4,055 + 2,972 + 11,619 = $27,021 REVIEW 119 a 3,000 + 100 + 20 + 100 935 + 1,970 + 2,225 + 1,420 = 6,550 Total sales: $6,550,000,000 101 64 + 34 + 64 + 34 = 196 inches of fringe b 60,000 + 30 + INSTRUCTOR USE ONLY 102 15 + 11 + 15 + 11 = 52 feet of border © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 120 a 6,354,780 10 b 6,354,800 a xy yx xy z x yz b c 6,350,000 11 d 6,400,000 121 b perimeter a 5,370,650 c area b 5,370,000 d perimeter c 5,400,000 122 a area a seventy-two million, one thousand fifteen 12 b 70,000,000 + 2,000,000 + 1,000 + 10 + Section 1.3: Multiplying Whole Numbers a 1 25 25 b 62 1 62 c 10 d 4 NOTATION 13 , , VOCABULARY 10 50 factor factor Multiplication is repeated addition The commutative property of multiplication states that the order in which whole numbers are multiplied does not change their product The associative property of multiplication states that the way in which whole numbers are grouped does not change their product square feet 15 A l w or A lw 16 a product 14 Letters that are used to represent numbers are called variables GUIDED PRACTICE 17 15 18 19 34 272 15 15 15 15 15 15 15 20 37 12 60 a 171 a A rectangular array of red squares is shown below b 19 CONCEPTS a b 105 If a square measures inch on a side, its area is square inch The area of a rectangle is a measure of the amount of surface it encloses 8x b ab 222 21 100 has zeros : attach zeros : 3,700 INSTRUCTOR USE ONLY b 22 1,000 has zeros : attach zeros : 63,000 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 10 Tussy/Koenig Prealgebra, 5e 23 10 has zero : attach zero : 750 38 24 10,000 has zeros : attach zeros : 880,000 25 10,000 has zeros : attach zeros : 1,070,000 8, 650 26 100 has zeros : attach zeros : 32,300 9,342 27 1,000 has zeros : attach zeros : 512,000 173 54 692 39 287 64 28 10 has zero : attach zero : 6,730 29 68 272 17, 220 68 40 2, 720 18,368 30 1,148 40 83 249 83 30 2, 490 31 56 112 32, 270 33,192 222 1,110 41 222 500 111, 000 33 13 39 42 63 441 43 27 108 44 51 408 2,003 1,376 2,000 1,376 1,376 2,752,000 4,128 2,756,128 45 18 20 18 20 5 18 100 1,800 46 29 2 50 29 50 29 100 2,900 47 250 135 250 135 5,100 80, 000 408, 000, 000 37 3,002 5,619 3,000 5,619 5,619 16,857,000 11,238 16,868,238 2, 700 40, 000 108, 000, 000 36 504 729 500 729 729 364,500 2,916 367,416 630 7, 000 4, 410, 000 35 602 679 600 679 679 407,400 1,358 408,758 130 3, 000 390, 000 34 72 922 56 200 11, 200 32 461 128 73 1000 135 135, 000 384 8,960 48 9,344 250 289 250 289 1000 289 289, 000 49 90 200 18,000 50 60 600 36,000 INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 11 51 200 2,000 400,000 63 44 55 52 400 4,000 1,600,000 64 81 679 53 14 84in2 65 53 159 54 22 50 1100m2 55 12 12 144in2 56 20 20 400cm 53 30 1,590 66 78 156 20 78 1,560 67 TRY IT YOURSELF 57 59 786 213 754 37 700 44, 486 1, 491 68 58 863 846 79 614 7, 7 59 220 66,834 59 34, 74 69 3004 68,9 48 60 11 912 00 000 4,912 000 000 8 934 000 219, 648 61 99 62 8,945,912 70 2003 77 5003 693 009 6,930 00 000 7, 623 000 000 73 2978 59 10 015 000 10, 021, 009 657 3, 650 INSTRUCTOR USE ONLY 4,307 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 12 Tussy/Koenig Prealgebra, 5e 71 916 79 370 409 450 244 000 00 000 18 500 366 400 148 000 374, 644 166,500 72 80 889 280 507 340 223 000 00 000 11 200 444 500 84 000 450, 723 95, 200 73 25 99 25 99 100 99 9,900 APPLICATIONS 81 36 72 cups of raisins 74 41 5 20 41 5 20 41100 4,100 82 180 720 peanut M&Ms 75 48 240 83 12 17 204 grams of fat 4,800 500 2, 400, 000 84 13 24 312 oranges 64 448 85 60 65 3,900 times per minute 86 15 312 $4,680 87 12 5, 280 63,360in in a mile 88 a 16 18 288 mi 76 6, 400 700 4, 480, 000 77 2,779 128 22 232 55 580 277 900 78 b 16 25 400 mi 355,712 89 250 308 77,000 words 3,596 90 18 450 $8,100 per month 91 36 174,900 $6,296,400 per year 92 42 18,949,000 795,858,000 gal/day 93 72 entries 94 24 24 24 24 96 ft around once 136 21 576 107 880 359 600 489, 056 INSTRUCTOR USE ONLY 96 96 96 96 384 ft around four times © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 13 95 17 33 561: There are 561 students and Section 1.4: Dividing Whole Numbers instructor, so since 562 < 570 they are O.K 96 14 150 2,100 lbs They are overloaded VOCABULARY 12 dividend 97 18 hours asleep 10 80 inch jump 99 28,000 168,000 attacks 100 11 88 months 101 14 14 84 pills 102 a 60 60 24 86, 400 beats dividend 12 quotient divisor 104 24 36 864in2 105 We call The problem 246 is written in long division form If a division is not exact, the leftover part is called the remainder One number is divisible by another number if, when we divide them, the remainder is Phrases such as split equally and how many does each indicate the operation of division Perimeter: 360 270 360 270 1, 260mi Area: 360 270 97, 200mi 106 Square Rectangle Area Perimeter 16 16 16 256 ft 64 ft 14 17 14 17 238 ft 62 ft CONCEPTS a groups of b groups of 4, left over WRITING 107 foot is a unit of length, while square foot is a unit of area c false d false a 25 1 25 b 6 c 100 is undefined d 0 12 At least one of the numbers has to be REVIEW 109 10,357 9,809 476 20,642 110 a true b true The square is larger in both cases 108 40 the related multiplication statement for the division 40 b 100 60 24 144,000 beats 18 54 ft quotient quotient divisor 12 dividend 98 103 divisor 367 179 $188 discount 10 To perform long division, we follow a four-step process: estimate, multiply, subtract, bring-down INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 14 Tussy/Koenig Prealgebra, 5e 11 a 1147 c 23 7501 12 b 587 d 16 892 23 21 24 32 25 12 72 26 15 75 27 16 96 a Quotient divisor = dividend b Quotient divisor remainder = dividend 13 6 37 36 36 333 14 a Check: b sum 28 c two 15 18 72 4 a or 32 b and 32 c sum d 10 16 Check: We can simplify the division 43,800 200 by 29 removing two zeros from the dividend and the divisor NOTATION 17 , 16 96 18 72 29 87 6 27 27 , 18 In a division, 35 R means “a quotient of 35 and a remainder of 4” Check: GUIDED PRACTICE 19 14 98 45 because 45 20 21 29 87 30 54 because 54 7 28 28 44 11 because 11 44 Check: 14 98 INSTRUCTOR USE ONLY 22 120 12 10 because 10 12 120 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 15 31 325 2275 35 21 504 62 31248 310 17 24 14 0 35 248 35 248 Check: 32 Check: 62 504 31, 248 325 2275 216 1728 36 403 71 28613 284 16 21 12 0 8 48 213 48 213 0 Check: 216 1728 33 218 1962 Check: 37 18 602 37 22274 222 16 07 9 0 72 74 72 74 Check: 218 1962 34 71 403 28,613 327 1635 15 Check: 37 602 22, 274 38 704 28 19712 196 13 10 11 0 35 112 35 112 Check: 327 1635 Check: 28 704 19,712 INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 16 Tussy/Koenig Prealgebra, 5e 39 39 24 951 43 72 2096 231 3754 216 3668 86 15 Check : 47 524 86 24,714 39 R 15 Check : 40 39 24 15 951 44 28 33 943 3223 3186 283 264 19 28 R 19 Check : 28 33 19 943 37 Check : 56 531 37 29,773 45 19 178 3514 21 46 999 178 92 1602 1734 79 132 Check : 19 178 132 3,514 46 33 21 R 33 Check : 21 46 33 999 42 56 531 29773 2655 66 41 47 524 24714 19 49 979 49 489 46 17 164 2929 164 1289 1148 141 Check : 17 164 141 2,929 441 48 19 R 48 Check : 19 49 48 979 INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 17 Divisible by Y Y Y Y 10 47 2,940 Y Y 48 5,850 Y Y Y 49 43,785 Y Y 50 72,954 51 181,223 52 379,157 53 9,499,200 Y Y Y Y Y Y 54 6,653,100 Y Y Y Y Y Y Y Y Y Y TRY IT YOURSELF 63 4325 25950 24 Y 19 Y Y 18 Y 15 12 30 30 64 55 10 has zero : take away zero : 70 56 10 has zero : take away zero : 90 3363 23541 21 25 57 21 Begin by cancelling a zero from each 22 45 990 44 42 90 21 90 21 90 0 65 58 Begin by cancelling a zero from each 35 26 910 54 54 78 130 66 130 72 72 59 360,000 40 9,000 60 240,000 60 4,000 61 50,000 1,000 50 62 100,000 500 200 67 31 273 248 25 R 25 INSTRUCTOR USE ONLY © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 18 Tussy/Koenig Prealgebra, 5e 68 35 295 73 145 280 26 15 69 R 15 0 Begin by cancelling zeros from each 261 261 160 640 4 74 24 24 407 27 10989 108 70 509 29 14761 18 0 Begin by cancelling zeros from each 25 125 189 189 10 25 25 75 3080 175 539000 525 71 106 745 140 0 7 1400 04 1400 0 45 42 76 740 106 R 72 4050 185 749250 92 103 931 0 9 925 925 03 0 31 77 27 15 75 75 INSTRUCTOR USE ONLY 103 R © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 19 78 85 16 96 57 56 96 7R1 79 23 212 5087 86 424 9 82 81 847 636 9R1 211 APPLICATIONS 87 2500 625 tickets 23 R 211 80 26 214 5777 428 88 371 53 days 89 405 15 27 trips 90 288 36 shelves 91 50 23 2R4 Each student got cartons, with 1497 1284 213 26 R 213 81 left over 30 42 1273 92 ft left 126 93 13 640 68 9R28 It can be filled times with 28 oz left 0 94 13 896 149R2 149 cups with oz remaining 30 R 13 82 200 11 18R2 They can wrap 18 lamps with 95 40 83 3363 58,000 14,500 There are 14,500 lbs on each jack 332 96 10, 282,800 22 $467, 400 each 0 97 25, 200 240 $105 per book 43 98 950,000 20 47,500 gallons each hour 99 700 140 miles per gallon 100 33,750,000 45 750,000 gallons 101 156 12 13 They should order 13 dozen donuts 43 40 R 43 83 1,000 has zeros : remove zeros : 89 84 1,000 has zeros : remove zeros : 930 INSTRUCTOR USE ONLY 102 1,000 10 100 decades per millennium © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 20 Tussy/Koenig Prealgebra, 5e 103 216 30.86 - teams won’t have the same A prime number is a whole number greater than that has only and itself as factors Whole numbers greater than that are not prime numbers are called composite numbers To prime factor a number means to write it as a product of only prime numbers An exponent is used to represent repeated multiplication It tells how many times the base is used as a factor In the exponential expression , the number is the base and is the exponent We can read as “5 to the second power” or as number 216 27 - not an even number of teams 216 24 GOOD CHOICE 216 10 21.6 - teams won’t have the same number There are 24 teams with girls each 104 744 12 62 Putting one tree on the far end gives 63 trees 105 Divide each by 12: Health Sciences: $3,880; Business: $4,295; Social Sciences: $3,069 106 Divide column by column : AZ: 57; OK: 55; RI: 1,100; SC: 155 WRITING 107 Find out how many times you must subtract from 24 to get 108 109 110 Because of anything will be equal to 0, but no number of zeros can give a non-zero number “5 squared” We can read as “7 to the third power” or as “7 cubed” CONCEPTS 1 45 45 15 45 45 The factors of 45, in order from least to greatest, are 1, 3, 5, 9, 15, 45 10 The factors of 28, in order from least to greatest, are 1, 2, 4, 7, 14, 28 30 30 16 14 Since 14 is divisible by 7, 308 is also 11 yes 1 11 12 yes 13 a even, odd Since 11 is divisible by 11, 1,848 is also REVIEW 111 2,903 378 3, 281 112 1 28 28 14 28 28 b 0, 2, 4, 6, 8, 10, 12, 14, 16, 18 c 1, , 5, 7, 9, 11, 13, 15, 17, 19 2,903 378 2,525 14 113 2,903 378 1,097,334 114 17,550 13,970 $3,580 discount a 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 b 4, 6, 8, 9, 10, 12, 14, 15, 16, 18 15 The blank should be a The prime factorization of 150 is Section 1.5: Prime Factors and Exponents 16 4, 6, 9, 10 VOCABULARY 17 150 Numbers that are multiplied together are called factors 3 5 75 25 INSTRUCTOR USE ONLY To factor a whole number means to express it as the product of other whole numbers The prime factorization of 150 is 3 5 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 21 40 or b 3, 5, 7, 11, 13, 41 30 15 NOTATION a base 7; exponent 19 42 28 14 b base 15; exponent 43 63 21 a factors of 44 50 25 45 54 or GUIDED PRACTICE 1, 2, 5, 10 21 46 56 14 14 or 22 1, 2, 3, 47 60 10 15 23 1, 2, 4, 5, 8, 10, 20, 40 48 64 16 24 1, 3, 5, 15, 25, 75 49 11 : and 11 25 1, 2, 3, 6, 9, 18 50 29 : and 29 26 1, 2, 4, 8, 16, 32 51 37 : and 37 27 1, 2, 4, 11, 22, 44 52 41 : and 41 28 1, 5, 13, 65 53 Yes 29 1, 7, 11, 77 54 Yes 30 1, 3, 9, 27, 81 55 No 11 31 1, 2, 4, 5, 10, 20, 25, 50, 100 56 No 3 32 1, 3, 7, 9, 21, 49, 63, 147, 441 57 No 17 58 No 13 59 Yes 60 Yes 61 30 62 20 22 63 39 13 64 105 15 18 20 a b factors of 33 24 34 33 35 39 36 57 37 77 38 55 INSTRUCTOR USE ONLY 39 10 or © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 22 Tussy/Koenig Prealgebra, 5e 65 99 11 11 32 11 66 400 16 25 86 87 162 81 98 49 72 69 64 88 a 1,024 b 625 26 70 a 32 b 25 34 68 b 243 24 52 67 a 125 89 243 81 a 343 b 2,187 35 90 71 147 49 72 72 140 35 22 73 220 22 10 11 a 64 b 256 91 22 11 a b 74 385 77 11 75 102 51 17 76 114 57 19 93 90 77 25 94 56 78 36 95 112 121 847 79 54 96 34 81 162 80 93 97 32 52 25 225 81 888 42 83 98 33 53 27 125 3,375 82 12 12 12 16 123 16 99 23 33 13 27 13 2,808 83 7 92 100 23 32 11 11 792 84 52 66 APPLICATIONS 101 Factors of 28: 1, 2, 4, 7, 14, 28 85 92 a 20 20 b a 81 120 + + + + 14 = 28 INSTRUCTOR USE ONLY b 64 102 79 and 97 are factors of 7,663 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Chapter Whole Numbers 23 103 22 square units, 32 square units, 42 square units 104 a 16 cells 12 c a 20 b 20 4,096 cells WRITING 105 Multiply the factors together to verify you get the original number The blank should be a a appears twice with 36 b appears twice with 90 and with 36 Factors are any whole number that divides the number Prime factors must be prime and are factors of 28, but 2, 2, and are the prime factors of 28 107 12 13 14 Any power of is 108 There are infinitely many prime numbers that exist c appears once with 90 10 a appears twice with 140 b appears once with 140 and with 70 c appears once in all 140 d LCM = 11 29,056 8,655 $20,401 per year a appears twice with 12 b appears three times with 54 20,401 $81,604 for four years c LCM = 108 12 Section 1.6: The Least Common Multiple and the Greatest Common Factor a 1, 3, and are common to both b GCF = 13 VOCABULARY 180 d LCM = REVIEW 109 15 120 125 band members 110 a and 12 b b base = 106 a 2, 3, and are common to both The multiples of a number are the products of that number and 1, 2, 3, 4, 5, and so on Because 12 is the smallest number that is a multiple of both and 4, it is the least common multiple of and 14 One number is divisible by another number if, when dividing them, we get a remainder of NOTATION a The abbreviation for the greatest common factor 15 is GCF Because is the largest number that is a factor of both 18 and 24, it is the greatest common factor of 18 and 24 b GCF = a 2, 2, and are common to all b GCF = 12 b The abbreviation for the least common multiple is LCM 16 CONCEPTS a.12 30 a We read LCM 2,15 30 as “The least common multiple of and 15 is 30.” INSTRUCTOR USE ONLY b In general, the LCM of two whole numbers is the smallest whole number that is divisible by both numbers b We read GCF 18, 24 as “The greatest common factor of 18 and 24 is 6.” © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy 24 Tussy/Koenig Prealgebra, 5e 30 GUIDED PRACTICE 4, 8, 12, 16, 20, 24, 28, 32 17 11 is not divisible by 22 is not divisible by 18 2, 4, 6, 8, 10, 12, 14, 16 19 11, 22, 33, 44, 55, 66, 77, 88 44 is not divisible by 20 10, 20, 30, 40, 50, 60, 70, 80 55 is not divisible by 21 8, 16, 24, 32, 40, 48, 56, 64 22 9, 18, 27, 36, 45, 54, 63, 72 33 is not divisible by 66 is not divisible by 77 is divisible by LCM(7,11) = 77 23 20, 40, 60, 80, 100, 120, 140, 160 24 30, 60, 90, 120, 150, 180, 210, 240 25 is not divisible by 21 is not divisible by 10 is not divisible by 28 is divisible by 15 is divisible by LCM(4,7) = 28 31 LCM(3,5) = 15 26 27 32 is not divisible by 16 is not divisible by 18 is divisible by 24 is not divisible by LCM(6,9)=18 32 is not divisible by 12 is not divisible by 40 is divisible by 24 is divisible by LCM(5,8) = 40 33 is not divisible by and 25 is not divisible by 10 12 is divisible by and 50 is divisible by 10 LCM(3,4,6) = 12 LCM(10,25) = 50 29 14 is not divisible by is not divisible by LCM(8,12)=24 28 is not divisible by 34 is not divisible by and 11 is not divisible by 16 is not divisible by and 22 is not divisible by 24 is divisible by and 33 is not divisible by LCM(2,3,8) = 24 44 is not divisible by 35 10 is not divisible by and 55 is divisible by 20 is not divisible by and LCM(5,11) = 55 30 is divisible by and INSTRUCTOR USE ONLY LCM(2,3,10) = 30 © Cengage Learning All Rights Reserved Full file at https://TestbankDirect.eu/Solution-Manual-for-Prealgebra-5th-Edition-by-Tussy ... https://TestbankDirect.eu /Solution- Manual- for- Prealgebra- 5th- Edition- by- Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu /Solution- Manual- for- Prealgebra- 5th- Edition- by- Tussy. .. https://TestbankDirect.eu /Solution- Manual- for- Prealgebra- 5th- Edition- by- Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu /Solution- Manual- for- Prealgebra- 5th- Edition- by- Tussy. .. https://TestbankDirect.eu /Solution- Manual- for- Prealgebra- 5th- Edition- by- Tussy Solution Manual for Prealgebra 5th Edition by Tussy NOT FOR SALE Full file at https://TestbankDirect.eu /Solution- Manual- for- Prealgebra- 5th- Edition- by- Tussy
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