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Prealgebra

Charles P. McKeague

Chapter 1

Whole Numbers - all with Video Answers

Educators


Section 6

Division with Whole Numbers

Problem 1

Write each of the following in symbols.
The quotient of 6 and 3

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Problem 2

Write each of the following in symbols.
The quotient of 3 and 6

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Problem 3

Write each of the following in symbols.
The quotient of 45 and 9

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Problem 4

Write each of the following in symbols.
The quotient of 12 and 4

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Problem 5

Write each of the following in symbols.
The quotient of $r$ and $s$

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Problem 6

Write each of the following in symbols.
The quotient of $s$ and $r$

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Problem 7

Write each of the following in symbols.
The quotient of 20 and 4 is 5 .

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Problem 8

Write each of the following in symbols.
The quotient of 20 and 5 is 4

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00:38

Problem 9

Write a multiplication statement that is equivalent to each of the following division statements.
$$6 \div 2=3$$

Ashley High
Ashley High
Numerade Educator

Problem 10

Write a multiplication statement that is equivalent to each of the following division statements.
$$6 \div 3=2$$

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Problem 11

Write a multiplication statement that is equivalent to each of the following division statements.
$$\frac{36}{9}=4$$

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Problem 12

Write a multiplication statement that is equivalent to each of the following division statements.
$$\frac{36}{4}=9$$

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Problem 13

Write a multiplication statement that is equivalent to each of the following division statements.
$$\frac{48}{6}=8$$

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Problem 14

Write a multiplication statement that is equivalent to each of the following division statements.
$$\frac{35}{7}=5$$

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Problem 15

Write a multiplication statement that is equivalent to each of the following division statements.
$$28 \div 7=4$$

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Problem 16

Write a multiplication statement that is equivalent to each of the following division statements.
$$81+9=9$$

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Problem 17

Find each of the following quotients. (Divide.)
$$25+5$$

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Problem 18

Find each of the following quotients. (Divide.)
$$72 \div 8$$

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Problem 19

Find each of the following quotients. (Divide.)
$$40+5$$

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Problem 20

Find each of the following quotients. (Divide.)
$$12 \div 2$$

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Problem 21

Find each of the following quotients. (Divide.)
$$9 \div 0$$

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Problem 22

Find each of the following quotients. (Divide.)
$$7 \div 1$$

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Problem 23

Find each of the following quotients. (Divide.)
$$360 \div 8$$

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Problem 24

Find each of the following quotients. (Divide.)
$$285 \div 5$$

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Problem 25

Find each of the following quotients. (Divide.)
$$\frac{138}{6}$$

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Problem 26

Find each of the following quotients. (Divide.)
$$\frac{267}{3}$$

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Problem 27

Find each of the following quotients. (Divide.)
$$5 \longdiv { 7 , 6 5 0 }$$

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Problem 28

Find each of the following quotients. (Divide.)
$$5 \sqrt { 5 , 6 7 0 }$$

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Problem 29

Find each of the following quotients. (Divide.)
$$5 \sqrt { 6 . 7 5 0 }$$

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Problem 30

Find each of the following quotients. (Divide.)
$$5 \sqrt { 6 , 5 7 0 }$$

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Problem 31

Find each of the following quotients. (Divide.)
$$3 \sqrt { 5 4 , 0 0 0 }$$

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Problem 32

Find each of the following quotients. (Divide.)
$$3 \sqrt { 5 0 , 4 0 0 }$$

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Problem 33

Find each of the following quotients. (Divide.)
$$3 \sqrt { 5 0 , 0 4 0 }$$

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Problem 34

Find each of the following quotients. (Divide.)
$$3 \sqrt { 5 0 , 0 0 4 }$$

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Problem 35

Work Problems 35 through 38 mentally, without using a calculator.
The quotient $845+93$ is closest to which of the following numbers?
a. 10
b. 100
c. $1,000$
d. $10,000$

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Problem 36

Work Problems 35 through 38 mentally, without using a calculator.
The quotient $762 \div 43$ is closest to which of the following numbers?
a. 2
b. 20
c. 200
d. 2,000

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Problem 37

The quotient $15,208 \div 771$ is closest to which of the following numbers?
a. 2
b. 20
c. 200
d. 2,000

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Problem 38

Work Problems 35 through 38 mentally, without using a calculator.
The quotient $24,471 \div 523$ is closest to which of the following numbers?
a. 5
b. 50
c. 500
d. $5,000$

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Problem 39

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$316 \div 289$$

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Problem 40

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$662 \div 289$$

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Problem 41

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$728 \div 355$$

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Problem 42

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$728 \div 177$$

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Problem 43

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$921 \div 243$$

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Problem 44

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$921 \div 442$$

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Problem 45

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$673\div109$$

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Problem 46

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits $1,2,3,4,5,6,7,8,$ or 9
$$673 \div 218$$

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Problem 47

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$1,440\div32$$

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Problem 48

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$1,206 \div 67$$

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Problem 49

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$\frac{2,401}{49}$$

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Problem 50

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$\frac{4,606}{49}$$

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Problem 51

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$2 8 \div { 1 2 , 0 9 6 }$$

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Problem 52

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$2 8 \div { 9 6 , 0 1 2 }$$

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Problem 53

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$6 3 \div { 9 0 , 5 9 4 }$$

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Problem 54

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$4 5 \div { 1 7 , 5 9 5 }$$

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Problem 55

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$8 7 \div { 6 1 , 3 3 5 }$$

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Problem 56

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$7 9 \div { 4 8 , 0 3 2 }$$

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Problem 57

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$4 5 \div { 1 3 5 , 9 0 0 }$$

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Problem 58

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication.
$$5 6 \div { 2 2 7 , 9 2 0 }$$

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00:56

Problem 59

Complete the following tables.
(table cannot copy)

John Connell
John Connell
Numerade Educator
00:56

Problem 60

Complete the following tables.
(table cannot copy)

John Connell
John Connell
Numerade Educator

Problem 61

The following division problems all have remainders.
$$6 \sqrt { 3 7 0 }$$

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Problem 62

The following division problems all have remainders.
$$8 \sqrt { 3 9 0 }$$

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Problem 63

The following division problems all have remainders.
$$3 \sqrt { 2 7 1 }$$

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Problem 64

The following division problems all have remainders.
$$3 \sqrt { 1 7 2 }$$

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Problem 65

The following division problems all have remainders.
$$2 6 \div { 3 4 5 }$$

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Problem 66

The following division problems all have remainders.
$$2 6 \div { 5 4 3 }$$

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Problem 67

The following division problems all have remainders.
$$7 1 \div { 1 6 , 6 2 0 }$$

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Problem 68

The following division problems all have remainders.
$$7 1 \div { 3 3 , 2 4 0 }$$

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Problem 69

The following division problems all have remainders.
$$2 3 \div { 9 , 2 5 0 }$$

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Problem 70

The following division problems all have remainders.
$$2 3 \div { 2 0 , 8 0 0 }$$

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Problem 71

The following division problems all have remainders.
$$1 6 9 \div { 5 , 9 5 0 }$$

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Problem 72

The following division problems all have remainders.
$$3 9 1 \div { 3 4 , 4 5 0 }$$

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Problem 73

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Monthly Income $A$ family has an annual income of $\$ 42,300 .$ How much is their monthly income?

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Problem 74

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Hourly Wages If a man works an 8 -hour shift and is paid $\$ 96,$ how much does he make for 1 hour?

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Problem 75

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Price per Pound If 6 pounds of a certain kind of fruit cost $\$ 4.74,$ how much does 1 pound cost?

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Problem 76

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
cost of a Dress A dress shop orders 45 dresses for a total of $\$ 2,205 .$ If they paid the same amount for each dress, how much was each dress?

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Problem 77

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Filling Glasses How many 32 - ounce bottles of Coke will be needed to fill sixteen 6-ounce glasses?

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Problem 78

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Filling Glasses How many 8-ounce glasses can be filled from three 32 -ounce bottles of soda?

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Problem 79

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Filling Glasses How many 5 -ounce glasses can be filled from a 32 -ounce bottle of milk? How many ounces of milk will be left in the bottle when all the glasses are full?

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Problem 80

Filling Glasses How many 5 -ounce glasses can be filled from a 32 -ounce bottle of milk? How many ounces of milk will be left in the bottle when all the glasses are full?Filling Glasses How many 3 -ounce glasses can be filled from a 28 - ounce bottle of milk? How many ounces of milk will be left in the bottle when all the glasses are filled?

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Problem 81

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Boston Red Sox The annual payroll for the Boston Red Sox for the 2007 season was about $\$ 156$ million dollars. If there are 40 players on the roster what is the average salary per player for the Boston Red Sox?

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Problem 82

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Miles per Gallon A traveling salesman kept track of his mileage for 1 month. He found that he traveled $1,104$ miles and used 48 gallons of gas. How many miles did he travel on each gallon of gas?

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Problem 83

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Milligrams of Calcium Suppose one egg contains 25 milligrams of calcium, a piece of toast contains 40 milligrams of calcium, and a glass of milk contains 215 milligrams of calcium. How many milligrams of calcium are contained in a breakfast that consists of three eggs, two glasses of milk, and four pieces of toast?

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Problem 84

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Milligrams of Iron Suppose a glass of juice contains 3 milligrams of iron and a piece of toast contains 2 milligrams of iron. If Diane drinks two glasses of juice and has three pieces of toast for breakfast, how much iron is contained in the meal?

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Problem 85

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Fitness Walking The guidelines for fitness now indicate that a person who walks $10,000$ steps daily is physically fit. According to The Walking Site on the Internet, it takes just over $2,000$ steps to walk one mile. If that is the case, how many miles do you need to walk in order to take $10,000$ steps?
(image cannot copy)

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Problem 86

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations.
Fundraiser As part of a fundraiser for the Earth Day activities on your campus, three volunteers work to stuff $3,210$ envelopes with information about global warming. How many envelopes did cach volunteer stuff?

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