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.
157 exercises
1.5 Exercise 1
Before you get started, take this readiness quiz.
Multiply:
If you missed this problem, review the reference.
1.5 Exercise 2
Subtract:
If you missed this problem, review the reference
1.5 Exercise 3
Multiply:
If you missed this problem, review the reference.
1.5 Exercise 4
Translate from math notation to words.
ⓐ ⓑ ⓒ
1.5 Exercise 5
Translate from math notation to words:
ⓐ ⓑ ⓒ
1.5 Exercise 6
Translate from math notation to words:
ⓐ ⓑ ⓒ
1.5 Exercise 10
Divide. Then check by multiplying. ⓐ ⓑ ⓒ
1.5 Exercise 11
Divide. Then check by multiplying:
ⓐ ⓑ
1.5 Exercise 12
Divide. Then check by multiplying:
ⓐ ⓑ
1.5 Exercise 13
Divide. Then check by multiplying:
- ⓐ
- ⓑ
- ⓒ
1.5 Exercise 14
Divide. Then check by multiplying:
ⓐ ⓑ
1.5 Exercise 15
Divide. Then check by multiplying:
ⓐ ⓑ
1.5 Exercise 16
Divide. Check by multiplying: ⓐ ⓑ
1.5 Exercise 17
Divide. Then check by multiplying:
ⓐ ⓑ
1.5 Exercise 18
Divide. Then check by multiplying:
ⓐ ⓑ
1.5 Exercise 20
Divide. Then check by multiplying:
1.5 Exercise 21
Divide. Then check by multiplying:
1.5 Exercise 23
Divide. Then check by multiplying:
1.5 Exercise 24
Divide. Then check by multiplying:
1.5 Exercise 26
Divide. Then check by multiplying:
1.5 Exercise 27
Divide. Then check by multiplying:
1.5 Exercise 29
Divide. Then check by multiplying:
1.5 Exercise 30
Divide. Then check by multiplying:
1.5 Exercise 32
Divide. Then check by multiplying:
1.5 Exercise 33
Divide. Then check by multiplying:
1.5 Exercise 35
Divide. Then check by multiplying:
1.5 Exercise 36
Divide. Then check by multiplying:
1.5 Exercise 37
Translate and simplify: the quotient of and
1.5 Exercise 38
Translate and simplify: the quotient of and
1.5 Exercise 39
Translate and simplify: the quotient of and
1.5 Exercise 40
Cecelia bought a box of oatmeal at the big box store. She wants to divide the ounces of oatmeal into 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?
1.5 Exercise 41
Marcus is setting out animal crackers for snacks at the preschool. He wants to put crackers in each cup. One box of animal crackers contains crackers. How many cups can he fill from one box of crackers?
1.5 Exercise 42
Andrea is making bows for the girls in her dance class to wear at the recital. Each bow takes feet of ribbon, and feet of ribbon are on one spool. How many bows can Andrea make from one spool of ribbon?
1.5 Exercise 43
Translate from math notation to words.
1.5 Exercise 45
Translate from math notation to words.
1.5 Exercise 47
Translate from math notation to words.
1.5 Exercise 49
Translate from math notation to words.
1.5 Exercise 59
Divide. Then check by multiplying.
1.5 Exercise 61
Divide. Then check by multiplying.
1.5 Exercise 63
Divide. Then check by multiplying.
1.5 Exercise 65
Divide. Then check by multiplying.
1.5 Exercise 67
Divide. Then check by multiplying.
1.5 Exercise 69
Divide. Then check by multiplying.
1.5 Exercise 71
Divide. Then check by multiplying.
1.5 Exercise 73
Divide. Then check by multiplying.
1.5 Exercise 75
Divide. Then check by multiplying.
1.5 Exercise 77
Divide. Then check by multiplying.
1.5 Exercise 79
Divide. Then check by multiplying.
1.5 Exercise 81
Divide. Then check by multiplying.
1.5 Exercise 83
Divide. Then check by multiplying.
1.5 Exercise 85
Divide. Then check by multiplying.
1.5 Exercise 87
Divide. Then check by multiplying.
1.5 Exercise 89
Divide. Then check by multiplying.
1.5 Exercise 91
Divide. Then check by multiplying.
1.5 Exercise 93
Divide. Then check by multiplying.
1.5 Exercise 95
Divide. Then check by multiplying.
1.5 Exercise 97
Divide. Then check by multiplying.
1.5 Exercise 99
Divide. Then check by multiplying.
1.5 Exercise 101
Divide. Then check by multiplying.
1.5 Exercise 103
Divide. Then check by multiplying.
1.5 Exercise 105
Divide. Then check by multiplying.
1.5 Exercise 107
Divide. Then check by multiplying.
1.5 Exercise 109
Divide. Then check by multiplying.
1.5 Exercise 111
Divide. Then check by multiplying.
1.5 Exercise 113
Divide. Then check by multiplying.
1.5 Exercise 115
Divide. Then check by multiplying.
1.5 Exercise 117
Divide. Then check by multiplying.
1.5 Exercise 119
Divide. Then check by multiplying.
1.5 Exercise 121
Divide. Then check by multiplying.
1.5 Exercise 123
Simplify.
1.5 Exercise 125
Simplify.
1.5 Exercise 127
Simplify.
1.5 Exercise 129
Simplify.
1.5 Exercise 131
Translate and simplify.
the quotient of and
1.5 Exercise 133
Translate and simplify.
the quotient of and
1.5 Exercise 135
Solve.
Trail mix Ric bought ounces of trail mix. He wants to divide it into small bags, with ounces of trail mix in each bag. How many bags can Ric fill?
1.5 Exercise 137
Solve.
Astronomy class There are students in an astronomy class. The professor assigns them into groups of How many groups of students are there?
1.5 Exercise 139
Solve.
Baking One roll of plastic wrap is feet long. Marta uses feet of plastic wrap to wrap each cake she bakes. How many cakes can she wrap from one roll?
1.5 Exercise 141
Solve.
Miles per gallon Susana’s hybrid car gets miles per gallon. Her son’s truck gets miles per gallon. What is the difference in miles per gallon between Susana’s car and her son’s truck?
1.5 Exercise 143
Solve.
Field trip The students in a Geology class will go on a field trip, using the college’s vans. Each van can hold students. How many vans will they need for the field trip?
1.5 Exercise 145
Solve.
Hiking Bill hiked miles on the first day of his backpacking trip, miles the second day, miles the third day, and miles the fourth day. What is the total number of miles Bill hiked?
1.5 Exercise 147
Solve.
Patients LaVonne treats patients each day in her dental office. Last week she worked days. How many patients did she treat last week?
1.5 Exercise 149
Contact lenses Jenna puts in a new pair of contact lenses every days. How many pairs of contact lenses does she need for days?
1.5 Exercise 151
Explain how you use the multiplication facts to help with division.
1.5 Exercise 153
Determine which of the following are (a) counting numbers (b) whole numbers.
1.5 Exercise 155
Determine which of the following are (a) counting numbers (b) whole numbers.
1.5 Exercise 159
Find the place value of the given digits.
- ⓐ
- ⓑ
- ⓒ
- ⓓ
- ⓔ
1.5 Exercise 161
Name each number in words.
1.5 Exercise 163
Name each number in words.
1.5 Exercise 166
Write as a whole number using digits.
fifteen thousand, two hundred fifty-three
1.5 Exercise 167
Write as a whole number using digits.
three hundred forty million, nine hundred twelve thousand, sixty-one
1.5 Exercise 169
Round to the nearest ten.
1.5 Exercise 171
Round to the nearest ten.
1.5 Exercise 173
Round to the nearest hundred.
1.5 Exercise 175
Round to the nearest hundred.
1.5 Exercise 177
Translate the following from math notation to words.
1.5 Exercise 179
Translate the following from math notation to words.
1.5 Exercise 185
Add.
ⓐ ⓑ
1.5 Exercise 187
Add.
ⓐ ⓑ
1.5 Exercise 189
Add.
1.5 Exercise 191
Add.
1.5 Exercise 193
Add.
1.5 Exercise 195
Translate each phrase into math notation and then simplify.
the sum of and
1.5 Exercise 197
Translate each phrase into math notation and then simplify.
more than
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 the tie cost and the slacks cost What was Nathan’s total cost?
1.5 Exercise 203
Translate the following from math notation to words.
1.5 Exercise 205
Translate the following from math notation to words.
1.5 Exercise 209
Subtract and then check by adding.
1.5 Exercise 211
Subtract and then check by adding.
1.5 Exercise 213
Subtract and then check by adding.
1.5 Exercise 215
Subtract and then check by adding.
1.5 Exercise 217
Subtract and then check by adding.
1.5 Exercise 219
Subtract and then check by adding.
1.5 Exercise 221
Translate and simplify.
the difference of nineteen and thirteen
1.5 Exercise 223
Translate and simplify.
seventy-four decreased by eight
1.5 Exercise 225
Solve.
Temperature The high temperature in Peoria one day was degrees Fahrenheit and the low temperature was degrees Fahrenheit. What was the difference between the high and low temperatures?
1.5 Exercise 227
Translate from math notation to words.
1.5 Exercise 229
Translate from math notation to words.
1.5 Exercise 235
Multiply.
1.5 Exercise 237
Multiply.
1.5 Exercise 239
Multiply.
ⓐ ⓑ
1.5 Exercise 241
Multiply.
1.5 Exercise 243
Multiply.
1.5 Exercise 245
Multiply.
1.5 Exercise 247
Multiply.
1.5 Exercise 249
Translate and simplify.
the product of and
1.5 Exercise 251
Translate and simplify.
twice
1.5 Exercise 253
Solve.
Gardening Geniece bought packs of marigolds to plant in her yard. Each pack has flowers. How many marigolds did Geniece buy?
1.5 Exercise 255
Solve.
Multiplex There are twelve theaters at the multiplex and each theater has seats. What is the total number of seats at the multiplex?
1.5 Exercise 257
Translate from math notation to words.
1.5 Exercise 259
Translate from math notation to words.
1.5 Exercise 263
Divide. Then check by multiplying.
1.5 Exercise 265
Divide. Then check by multiplying.
1.5 Exercise 267
Divide. Then check by multiplying.
1.5 Exercise 269
Divide. Then check by multiplying.
1.5 Exercise 271
Divide. Then check by multiplying.
1.5 Exercise 273
Divide. Then check by multiplying.
1.5 Exercise 275
Translate and simplify.
the quotient of and
1.5 Exercise 277
Solve.
Ribbon One spool of ribbon is feet. Lizbeth uses feet of ribbon for each gift basket that she wraps. How many gift baskets can Lizbeth wrap from one spool of ribbon?
1.5 Exercise 279
Determine which of the following numbers are
- ⓐ counting numbers
- ⓑ whole numbers.
1.5 Exercise 281
Write each number as a whole number using digits.
- ⓐ six hundred thirteen
- ⓑ fifty-five thousand two hundred eight
1.5 Exercise 283
Simplify.
1.5 Exercise 285
Simplify.
1.5 Exercise 287
Simplify.
1.5 Exercise 289
Simplify.
1.5 Exercise 291
Simplify.
1.5 Exercise 293
Simplify.
1.5 Exercise 295
Simplify.
1.5 Exercise 297
Simplify.
1.5 Exercise 299
Simplify.
1.5 Exercise 301
Simplify.
1.5 Exercise 303
Translate each phrase to math notation and then simplify.
The sum of and
1.5 Exercise 305
Translate each phrase to math notation and then simplify.
The difference of and
1.5 Exercise 307
Translate each phrase to math notation and then simplify.
Twice
1.5 Exercise 309
Translate each phrase to math notation and then simplify.
less than
1.5 Exercise 311
Solve.
Last month, Stan’s take-home pay was and his expenses were How much of his take-home pay did Stan have left after he paid his expenses?
1.5 Exercise 313
Solve.
Clayton walked blocks to his mother’s house, blocks to the gym, and blocks to the grocery store before walking the last blocks home. What was the total number of blocks that Clayton walked?
Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.