Back to Prealgebra 2e

1.5 Divide Whole Numbers

Sharing into equal groups, long division with remainders, checking a quotient by multiplying back, and per-unit phrasing in word problems.

Prealgebra 2e, 1.5 Divide Whole Numbers

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157 exercises

1.5 Exercise 1

Before you get started, take this readiness quiz.

Multiply: 27·3.27 \cdot 3 .
If you missed this problem, review the reference.

2.5

1.5 Exercise 2

Subtract: 43−26.43 - 26 .
If you missed this problem, review the reference

2.5

1.5 Exercise 3

Multiply: 62(87).62 \left(87\right) .
If you missed this problem, review the reference.

2.5

1.5 Exercise 4

Translate from math notation to words.

ⓐ 64÷864 \div 8 ⓑ 427\frac{42}{7} ⓒ 4284 \overline{\left.\right)28}

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1.5 Exercise 5

Translate from math notation to words:

ⓐ 84÷784 \div 7 ⓑ 186\frac{18}{6} ⓒ 8248 \overline{\left.\right)24}

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1.5 Exercise 6

Translate from math notation to words:

ⓐ 72÷972 \div 9 ⓑ 213\frac{21}{3} ⓒ 6546 \overline{\left.\right)54}

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1.5 Exercise 10

Divide. Then check by multiplying. ⓐ 42÷642 \div 6 ⓑ 729\frac{72}{9} ⓒ 7637 \overline{\left.\right)63}

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1.5 Exercise 11

Divide. Then check by multiplying:

ⓐ 54÷654 \div 6 ⓑ 279\frac{27}{9}

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1.5 Exercise 12

Divide. Then check by multiplying:

ⓐ 369\frac{36}{9} ⓑ 8408 \overline{\left.\right)40}

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1.5 Exercise 13

Divide. Then check by multiplying:

  1. ⓐ 11÷1111 \div 11
  2. ⓑ 191\frac{19}{1}
  3. ⓒ 171 \overline{\left.\right)7}
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1.5 Exercise 14

Divide. Then check by multiplying:

ⓐ 14÷1414 \div 14 ⓑ 271\frac{27}{1}

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1.5 Exercise 15

Divide. Then check by multiplying:

ⓐ 161\frac{16}{1} ⓑ 141 \overline{\left.\right)4}

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1.5 Exercise 16

Divide. Check by multiplying: ⓐ 0÷30 \div 3 ⓑ 10/0.10 / 0 .

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1.5 Exercise 17

Divide. Then check by multiplying:

ⓐ 0÷20 \div 2 ⓑ 17/017 / 0

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1.5 Exercise 18

Divide. Then check by multiplying:

ⓐ 0÷60 \div 6 ⓑ 13/013 / 0

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1.5 Exercise 20

Divide. Then check by multiplying: 2,636÷42,636 \div 4

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1.5 Exercise 21

Divide. Then check by multiplying: 2,716÷42,716 \div 4

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1.5 Exercise 23

Divide. Then check by multiplying: 4,305÷5.4,305 \div 5 .

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1.5 Exercise 24

Divide. Then check by multiplying: 3,906÷6.3,906 \div 6 .

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1.5 Exercise 26

Divide. Then check by multiplying: 4,928÷7.4,928 \div 7 .

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1.5 Exercise 27

Divide. Then check by multiplying: 5,663÷7.5,663 \div 7 .

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1.5 Exercise 29

Divide. Then check by multiplying: 3,812÷8.3,812 \div 8 .

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1.5 Exercise 30

Divide. Then check by multiplying: 4,319÷8.4,319 \div 8 .

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1.5 Exercise 32

Divide. Then check by multiplying: 1,493÷13.1,493 \div 13 .

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1.5 Exercise 33

Divide. Then check by multiplying: 1,461÷12.1,461 \div 12 .

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1.5 Exercise 35

Divide. Then check by multiplying: 78,641÷256.78,641 \div 256 .

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1.5 Exercise 36

Divide. Then check by multiplying: 76,461÷248.76,461 \div 248 .

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1.5 Exercise 37

Translate and simplify: the quotient of 5151 and 17.17 .

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1.5 Exercise 38

Translate and simplify: the quotient of 9191 and 13.13 .

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1.5 Exercise 39

Translate and simplify: the quotient of 5252 and 13.13 .

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1.5 Exercise 40

Cecelia bought a 160-ounce\text{160}-\text{ounce} box of oatmeal at the big box store. She wants to divide the 160160 ounces of oatmeal into 8-ounce\text{8}-\text{ounce} servings. She will put each serving into a plastic bag so she can take one bag to work each day. How many servings will she get from the big box?

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1.5 Exercise 41

Marcus is setting out animal crackers for snacks at the preschool. He wants to put 99 crackers in each cup. One box of animal crackers contains 135135 crackers. How many cups can he fill from one box of crackers?

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1.5 Exercise 42

Andrea is making bows for the girls in her dance class to wear at the recital. Each bow takes 44 feet of ribbon, and 3636 feet of ribbon are on one spool. How many bows can Andrea make from one spool of ribbon?

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1.5 Exercise 43

Translate from math notation to words.

54÷954 \div 9

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1.5 Exercise 45

Translate from math notation to words.

328\frac{32}{8}

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1.5 Exercise 47

Translate from math notation to words.

48÷648 \div 6

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1.5 Exercise 49

Translate from math notation to words.

7637 \overline{\left.\right)63}

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1.5 Exercise 59

Divide. Then check by multiplying.

18÷218 \div 2

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1.5 Exercise 61

Divide. Then check by multiplying.

273\frac{27}{3}

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1.5 Exercise 63

Divide. Then check by multiplying.

4284 \overline{\left.\right)28}

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1.5 Exercise 65

Divide. Then check by multiplying.

455\frac{45}{5}

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1.5 Exercise 67

Divide. Then check by multiplying.

72/872 / 8

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1.5 Exercise 69

Divide. Then check by multiplying.

357\frac{35}{7}

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1.5 Exercise 71

Divide. Then check by multiplying.

151515 \overline{\left.\right)15}

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1.5 Exercise 73

Divide. Then check by multiplying.

43÷4343 \div 43

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1.5 Exercise 75

Divide. Then check by multiplying.

231\frac{23}{1}

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1.5 Exercise 77

Divide. Then check by multiplying.

19÷119 \div 1

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1.5 Exercise 79

Divide. Then check by multiplying.

0÷40 \div 4

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1.5 Exercise 81

Divide. Then check by multiplying.

50\frac{5}{0}

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1.5 Exercise 83

Divide. Then check by multiplying.

260\frac{26}{0}

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1.5 Exercise 85

Divide. Then check by multiplying.

12012 \overline{\left.\right)0}

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1.5 Exercise 87

Divide. Then check by multiplying.

72÷372 \div 3

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1.5 Exercise 89

Divide. Then check by multiplying.

968\frac{96}{8}

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1.5 Exercise 91

Divide. Then check by multiplying.

54655 \overline{\left.\right)465}

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1.5 Exercise 93

Divide. Then check by multiplying.

924÷7924 \div 7

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1.5 Exercise 95

Divide. Then check by multiplying.

5,2266\frac{5,226}{6}

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1.5 Exercise 97

Divide. Then check by multiplying.

431,3244 \overline{\left.\right)31,324}

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1.5 Exercise 99

Divide. Then check by multiplying.

7,209÷37,209 \div 3

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1.5 Exercise 101

Divide. Then check by multiplying.

5,406÷65,406 \div 6

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1.5 Exercise 103

Divide. Then check by multiplying.

42,8164 \overline{\left.\right)2,816}

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1.5 Exercise 105

Divide. Then check by multiplying.

91,8819\frac{91,881}{9}

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1.5 Exercise 107

Divide. Then check by multiplying.

2,470÷72,470 \div 7

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1.5 Exercise 109

Divide. Then check by multiplying.

855,3058 \overline{\left.\right)55,305}

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1.5 Exercise 111

Divide. Then check by multiplying.

431,1745\frac{431,174}{5}


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1.5 Exercise 113

Divide. Then check by multiplying.

130,016÷3130,016 \div 3

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1.5 Exercise 115

Divide. Then check by multiplying.

155,73515 \overline{\left.\right)5,735}

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1.5 Exercise 117

Divide. Then check by multiplying.

56,883÷6756,883 \div 67

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1.5 Exercise 119

Divide. Then check by multiplying.

30,144314\frac{30,144}{314}

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1.5 Exercise 121

Divide. Then check by multiplying.

273542,195273 \overline{\left.\right)542,195}

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1.5 Exercise 123

Simplify.

15(204)15 \left(204\right)

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1.5 Exercise 125

Simplify.

256−184256 - 184

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1.5 Exercise 127

Simplify.

719+341719 + 341

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1.5 Exercise 129

Simplify.

2587525 \overline{\left.\right)875}

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1.5 Exercise 131

Translate and simplify.

the quotient of 4545 and 1515

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1.5 Exercise 133

Translate and simplify.

the quotient of 288288 and 2424

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1.5 Exercise 135

Solve.

Trail mix Ric bought 6464 ounces of trail mix. He wants to divide it into small bags, with 22 ounces of trail mix in each bag. How many bags can Ric fill?

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1.5 Exercise 137

Solve.

Astronomy class There are 125125 students in an astronomy class. The professor assigns them into groups of 5.5 . How many groups of students are there?

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1.5 Exercise 139

Solve.

Baking One roll of plastic wrap is 4848 feet long. Marta uses 33 feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?

2.5

1.5 Exercise 141

Solve.

Miles per gallon Susana’s hybrid car gets 4545 miles per gallon. Her son’s truck gets 1717 miles per gallon. What is the difference in miles per gallon between Susana’s car and her son’s truck?

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1.5 Exercise 143

Solve.

Field trip The 4545 students in a Geology class will go on a field trip, using the college’s vans. Each van can hold 99 students. How many vans will they need for the field trip?

2.5

1.5 Exercise 145

Solve.

Hiking Bill hiked 88 miles on the first day of his backpacking trip, 1414 miles the second day, 1111 miles the third day, and 1717 miles the fourth day. What is the total number of miles Bill hiked?

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1.5 Exercise 147

Solve.

Patients LaVonne treats 1212 patients each day in her dental office. Last week she worked 44 days. How many patients did she treat last week?

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1.5 Exercise 149

Contact lenses Jenna puts in a new pair of contact lenses every 1414 days. How many pairs of contact lenses does she need for 365365 days?

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1.5 Exercise 151

Explain how you use the multiplication facts to help with division.

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1.5 Exercise 153

Determine which of the following are (a) counting numbers (b) whole numbers.

0,2,990 , 2 , 99

2.5

1.5 Exercise 155

Determine which of the following are (a) counting numbers (b) whole numbers.

0,4,900 , 4 , 90

2.5

1.5 Exercise 159

Find the place value of the given digits.

472,981472,981

  1. ⓐ 88
  2. ⓑ 44
  3. ⓒ 11
  4. ⓓ 77
  5. ⓔ 22
2.5

1.5 Exercise 161

Name each number in words.

5,2805,280

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1.5 Exercise 163

Name each number in words.

5,012,5825,012,582

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1.5 Exercise 166

Write as a whole number using digits.

fifteen thousand, two hundred fifty-three

2.5

1.5 Exercise 167

Write as a whole number using digits.

three hundred forty million, nine hundred twelve thousand, sixty-one

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1.5 Exercise 169

Round to the nearest ten.

412412

2.5

1.5 Exercise 171

Round to the nearest ten.

3,5563,556

2.5

1.5 Exercise 173

Round to the nearest hundred.

38,97538,975

2.5

1.5 Exercise 175

Round to the nearest hundred.

81,48681,486

2.5

1.5 Exercise 177

Translate the following from math notation to words.

4+34 + 3

2.5

1.5 Exercise 179

Translate the following from math notation to words.

571+629571 + 629

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1.5 Exercise 185

Add.

ⓐ 0+190 + 19 ⓑ 19+019 + 0

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1.5 Exercise 187

Add.

ⓐ 7+67 + 6 ⓑ 6+76 + 7

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1.5 Exercise 189

Add.

44+3544 + 35

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1.5 Exercise 191

Add.

96+5896 + 58

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1.5 Exercise 193

Add.

7,281+12,5467,281 + 12,546

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1.5 Exercise 195

Translate each phrase into math notation and then simplify.

the sum of 3030 and 1212

2.5

1.5 Exercise 197

Translate each phrase into math notation and then simplify.

2525 more than 3939

2.5

1.5 Exercise 199

Solve.

Shopping for an interview Nathan bought a new shirt, tie, and slacks to wear to a job interview. The shirt cost $24,\$\text{24}, the tie cost $14,\$\text{14}, and the slacks cost $38.\$\text{38}. What was Nathan’s total cost?

2.5

1.5 Exercise 203

Translate the following from math notation to words.

14−514 - 5

2.5

1.5 Exercise 205

Translate the following from math notation to words.

351−249351 - 249

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1.5 Exercise 209

Subtract and then check by adding.

8−58 - 5

2.5

1.5 Exercise 211

Subtract and then check by adding.

23−923 - 9

2.5

1.5 Exercise 213

Subtract and then check by adding.

82−5982 - 59

2.5

1.5 Exercise 215

Subtract and then check by adding.

539−217539 - 217

2.5

1.5 Exercise 217

Subtract and then check by adding.

1,020−6401,020 - 640

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1.5 Exercise 219

Subtract and then check by adding.

10,000−151 0,000 - 15

2.5

1.5 Exercise 221

Translate and simplify.

the difference of nineteen and thirteen

2.5

1.5 Exercise 223

Translate and simplify.

seventy-four decreased by eight

2.5

1.5 Exercise 225

Solve.

Temperature The high temperature in Peoria one day was 8686 degrees Fahrenheit and the low temperature was 2828 degrees Fahrenheit. What was the difference between the high and low temperatures?

2.5

1.5 Exercise 227

Translate from math notation to words.

8×58 \times 5

2.5

1.5 Exercise 229

Translate from math notation to words.

(10)(95)\left(10\right) \left(95\right)

2.5

1.5 Exercise 235

Multiply.

0·140 \cdot 14

2.5

1.5 Exercise 237

Multiply.

1·991 \cdot 99

2.5

1.5 Exercise 239

Multiply.

ⓐ 7·47 \cdot 4 ⓑ 4·74 \cdot 7

2.5

1.5 Exercise 241

Multiply.

9,261×39,261 \times 3

2.5

1.5 Exercise 243

Multiply.

64·1064 \cdot 10

2.5

1.5 Exercise 245

Multiply.

162×493162 \times 493

2.5

1.5 Exercise 247

Multiply.

3,624×5173,624 \times 517

2.5

1.5 Exercise 249

Translate and simplify.

the product of 1515 and 2828

2.5

1.5 Exercise 251

Translate and simplify.

twice 575575

2.5

1.5 Exercise 253

Solve.

Gardening Geniece bought 88 packs of marigolds to plant in her yard. Each pack has 66 flowers. How many marigolds did Geniece buy?

2.5

1.5 Exercise 255

Solve.

Multiplex There are twelve theaters at the multiplex and each theater has 150150 seats. What is the total number of seats at the multiplex?

2.5

1.5 Exercise 257

Translate from math notation to words.

54÷954 \div 9

2.5

1.5 Exercise 259

Translate from math notation to words.

728\frac{72}{8}

2.5

1.5 Exercise 263

Divide. Then check by multiplying.

14÷214 \div 2

2.5

1.5 Exercise 265

Divide. Then check by multiplying.

52÷452 \div 4

2.5

1.5 Exercise 267

Divide. Then check by multiplying.

971\frac{97}{1}

2.5

1.5 Exercise 269

Divide. Then check by multiplying.

100÷0100 \div 0

2.5

1.5 Exercise 271

Divide. Then check by multiplying.

3828÷63828 \div 6

2.5

1.5 Exercise 273

Divide. Then check by multiplying.

750525\frac{7505}{25}

2.5

1.5 Exercise 275

Translate and simplify.

the quotient of 6464 and 1616

2.5

1.5 Exercise 277

Solve.

Ribbon One spool of ribbon is 2727 feet. Lizbeth uses 33 feet of ribbon for each gift basket that she wraps. How many gift baskets can Lizbeth wrap from one spool of ribbon?

2.5

1.5 Exercise 279

Determine which of the following numbers are

  1. ⓐ counting numbers
  2. ⓑ whole numbers.

0,4,870 , 4 , 87

2.5

1.5 Exercise 281

Write each number as a whole number using digits.

  1. ⓐ six hundred thirteen
  2. ⓑ fifty-five thousand two hundred eight
2.5

1.5 Exercise 283

Simplify.

45+2345 + 23

2.5

1.5 Exercise 285

Simplify.

85÷585 \div 5

2.5

1.5 Exercise 287

Simplify.

90−5890 - 58

2.5

1.5 Exercise 289

Simplify.

(0)(12,675)\left(0\right) \left(12,675\right)

2.5

1.5 Exercise 291

Simplify.

09\frac{0}{9}

2.5

1.5 Exercise 293

Simplify.

145−79145 - 79

2.5

1.5 Exercise 295

Simplify.

7·4757 \cdot 475

2.5

1.5 Exercise 297

Simplify.

35(14)35 \left(14\right)

2.5

1.5 Exercise 299

Simplify.

733−291733 - 291

2.5

1.5 Exercise 301

Simplify.

495÷45495 \div 45

2.5

1.5 Exercise 303

Translate each phrase to math notation and then simplify.

The sum of 1616 and 5858

2.5

1.5 Exercise 305

Translate each phrase to math notation and then simplify.

The difference of 3232 and 1818

2.5

1.5 Exercise 307

Translate each phrase to math notation and then simplify.

Twice 524524

2.5

1.5 Exercise 309

Translate each phrase to math notation and then simplify.

5050 less than 300300

2.5

1.5 Exercise 311

Solve.

Last month, Stan’s take-home pay was $3,816\$\text{3},\text{816} and his expenses were $3,472.\$\text{3},\text{472}. How much of his take-home pay did Stan have left after he paid his expenses?

2.5

1.5 Exercise 313

Solve.

Clayton walked 1212 blocks to his mother’s house, 66 blocks to the gym, and 99 blocks to the grocery store before walking the last 33 blocks home. What was the total number of blocks that Clayton walked?

2.5

Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.