Chapter 1, Whole Numbers Video Solutions, Prealgebra

Section 4

Subtraction with Whole Numbers

Problem 1

Perform the indicated operation. [Examples 1, 2, 4]
Subtract 24 from 56.

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Problem 2

Perform the indicated operation. [Examples 1, 2, 4]
Subtract 71 from 89.

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Problem 3

Perform the indicated operation. [Examples 1, 2, 4]
Subtract 23 from 45.

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Problem 4

Perform the indicated operation. [Examples 1, 2, 4]
Subtract 97 from 98.

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Problem 5

Perform the indicated operation. [Examples 1, 2, 4]
Find the difference of 29 and 19.

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Problem 6

Perform the indicated operation. [Examples 1, 2, 4]
Find the difference of 37 and 27.

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Problem 7

Perform the indicated operation. [Examples 1, 2, 4]
Find the difference of 126 and 15.

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Problem 8

Perform the indicated operation. [Examples 1, 2, 4]
Find the difference of 348 and 32.

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Problem 9

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
975 \\
-663 \\
\hline
\end{array}$$

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Problem 10

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
480 \\
-260 \\
\hline
\end{array}$$

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Problem 11

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
904 \\
-501 \\
\hline
\end{array}$$

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Problem 12

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
657 \\
-507 \\
\hline
\end{array}$$

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Problem 13

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
9,876 \\
-8,765 \\
\hline
\end{array}$$

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Problem 14

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
5,008 \\
-3,002 \\
\hline
\end{array}$$

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Problem 15

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
7,976 \\
-3,432 \\
\hline
\end{array}$$

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Problem 16

Work each of the following subtraction problems. [Examples 1, 2]
$$\begin{array}{r}
6.980 \\
-\quad 470 \\
\hline
\end{array}$$

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Problem 17

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$52-37$$

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Problem 18

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$65-48$$

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Problem 19

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$70-37$$

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Problem 20

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$90-21$$

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Problem 21

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$74-69$$

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Problem 22

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$31-28$$

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Problem 23

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$51-18$$

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Problem 24

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$64-58$$

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Problem 25

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$329-234$$

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Problem 26

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$518-492$$

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Problem 27

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$348-196$$

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Problem 28

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$759-661$$

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Problem 29

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{aligned}
&\begin{array}{r}
932 \\
-658 \\
\hline
\end{array}\\
\end{aligned}$$

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Problem 30

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
895 \\
-597 \\
\hline
\end{array}$$

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Problem 31

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
647 \\
-159 \\
\hline
\end{array}$$

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Problem 32

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
842 \\
-199 \\
\hline
\end{array}$$

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Problem 33

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
905 \\
-367 \\
\hline
\end{array}$$

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Problem 34

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
804 \\
-238 \\
\hline
\end{array}$$

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Problem 35

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
600 \\
-437 \\
\hline
\end{array}$$

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Problem 36

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
800 \\
-342 \\
\hline
\end{array}$$

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Problem 37

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
4,583 \\
-2,973 \\
\hline
\end{array}$$

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Problem 38

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
7,849 \\
-2,957 \\
\hline
\end{array}$$

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Problem 39

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
79,040 \\
-32,957 \\
\hline
\end{array}$$

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Problem 40

Find the difference in each case. (These problems all involve borrowing.) [Example 3]
$$\begin{array}{r}
86,492 \\
-78,506 \\
\hline
\end{array}$$

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Complete the following tables.
$$\begin{array}{|c|c|c|} \hline
\begin{array}{c}
\text { First } \\
\text { Number } \\
a
\end{array} & \begin{array}{c}
\text { Second } \\
\text { Number } \\
b
\end{array} & \begin{array}{c}
\text { The Difference } \\ a
\text { of } b\\
a - b
\end{array} \\
\hline 25 & 15 \\
\hline 24 & 16 \\
\hline 23 & 17 \\ \hline 23 & 18 \\
\hline
\end{array}$$

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Problem 42

Complete the following tables.
$$\begin{array}{|c|c|c|} \hline\begin{array}{c}\text { First } \\\text { Number } \\a\end{array} & \begin{array}{c}\text { Second } \\\text { Number } \\b\end{array} & \begin{array}{c}\text { The Difference } \\ a\text { of } b\\a - b\end{array} \\ \hline 90 & 79 \\\hline 80 & 69 \\\hline 70& 59 \\ \hline 60 & 49 \\\hline\end{array}$$

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Problem 43

Complete the following tables.
$$\begin{array}{|c|c|c|} \hline\begin{array}{c}\text { First } \\\text { Number } \\a\end{array} & \begin{array}{c}\text { Second } \\\text { Number } \\b\end{array} & \begin{array}{c}\text { The Difference } \\ a\text { of } b\\a - b\end{array} \\ \hline 400 & 256 \\\hline 400 & 144 \\\hline 225& 144 \\ \hline 225 & 81 \\\hline\end{array}$$

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Problem 44

Complete the following tables.
$$\begin{array}{|c|c|c|} \hline\begin{array}{c}\text { First } \\\text { Number } \\a\end{array} & \begin{array}{c}\text { Second } \\\text { Number } \\b\end{array} & \begin{array}{c}\text { The Difference } \\ a\text { of } b\\a - b\end{array} \\ \hline 100 & 36 \\\hline 100 & 64 \\\hline 25 & 16 \\ \hline 25 & 9 \\\hline\end{array}$$

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Problem 45

Write each of the following expressions in words. Use the word difference in each case.
$$10-2$$

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Problem 46

Write each of the following expressions in words. Use the word difference in each case.
$$9-5$$

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Problem 47

Write each of the following expressions in words. Use the word difference in each case.
$$a-6$$

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Problem 48

Write each of the following expressions in words. Use the word difference in each case.
$$7-x$$

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Problem 49

Write each of the following expressions in words. Use the word difference in each case.
$$8-2=6$$

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Problem 50

Write each of the following expressions in words. Use the word difference in each case.
$$m-1=4$$

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Problem 51

What number do you subtract from 8 to get 5?

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Problem 52

What number do you subtract from 6 to get 0?

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Problem 53

What number do you subtract from 15 to get 7?

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Problem 54

What number do you subtract from 21 to get 14?

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Problem 55

What number do you subtract from 35 to get 12?

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Problem 56

What number do you subtract from 41 to get 11?

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Problem 57

Write each of the following sentences as mathematical expressions.
The difference of 8 and 3

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Problem 58

Write each of the following sentences as mathematical expressions.
The difference of $x$ and 2

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Problem 59

Write each of the following sentences as mathematical expressions.
9 subtracted from $y$

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Problem 60

Write each of the following sentences as mathematical expressions.
$a$ subtracted from $b$

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Problem 61

Write each of the following sentences as mathematical expressions.
The difference of 3 and 2 is 1.

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Problem 62

Write each of the following sentences as mathematical expressions.
The difference of 10 and $y$ is 5.

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Problem 63

Write each of the following sentences as mathematical expressions.
The difference of 37 and $9 x$ is $10 .$

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Problem 64

Write each of the following sentences as mathematical expressions.
The difference of $3 x$ and $2 y$ is 15.

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Problem 65

Write each of the following sentences as mathematical expressions.
The difference of $2 y$ and $15 x$ is 24.

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Problem 66

Write each of the following sentences as mathematical expressions.
The difference of $25 x$ and $9 y$ is 16.

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Problem 67

Write each of the following sentences as mathematical expressions.
The difference of $(x+2)$ and $(x+1)$ is 1.

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Problem 68

Write each of the following sentences as mathematical expressions.
The difference of $(x-2)$ and $(x-4)$ is 2.

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Problem 69

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Checkbook Balance Diane has $\$ 504$ in her checking account. If she writes five checks for a total of $\$ 249$. how much does she have left in her account?

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Problem 70

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Checkbook Balance Larry has $\$ 763$ in his checking account. If he writes a check for each of the three bills listed below, how much will he have left in his account?
$$\begin{array}{|l|l|} \hline \text { Item } & \text { Amount } \\ \hline
\text { Rent } & \$ 418 \\
\text { Phone } & 25 \\
\text { Car repair } & 117 \\ \hline
\end{array}$$

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Problem 71

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Home Prices In $1985,$ Mr. Hicks paid $\$ 137,500$ for his home. He sold it in 2008 for $\$ 310,000$. What is the difference between what he sold it for and what he bought it for?

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Problem 72

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Oil Spills In March 1977, an oil tanker hit a reef off Taiwan and spilled 3,134,500 gallons of oil. In March 1989, an oil tanker hit a reef off Alaska and spilled 10,080,000 gallons of oil. How much more oil was spilled in the 1989 disaster?

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Problem 73

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Wind Speeds On April 12, 1934, the wind speed on top of Mount Washington was recorded at 231 miles per hour. When Hurricane Katrina struck on August 28, 2005, the highest recorded wind speed was 140 miles per hour. How much faster was the wind on top of Mount Washington, than the winds from Hurricane Katrina?

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Problem 74

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Concert Attendance Eleven thousand, seven hundred fifty-two people attended a recent concert at the Pepsi Arena in Albany, New York. If the arena holds 17,500 people, how many empty seats were there at the concert?

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Problem 75

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Computer Hard Drive You purchase a new computer with 320 gigabytes of hard drive capacity. (A gigabyte is roughly a billion bytes). After loading a variety of programs you discover that you have used 147 gigabytes of your hard drive’s capacity. How much hard drive capacity do you still have available?

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Problem 76

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
State Size Alaska is the largest state in the United States with an area of 663,267 square miles. Rhode Island is the smallest state with an area of 1,545 square miles. How many more square miles does Alaska have when compared to Rhode Island?

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Problem 77

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Wind Energy The bar chart below shows the states producing the most wind energy in 2006.
a. Use the information in the bar chart to fill in the missing entries in the table.
$$\begin{array}{|l|l|} \hline \text { State } & \text { Energy (megawatts) } \\ \hline \text { Texas } & \\ \text { California } & \\ \text { Iowa } & \\ & 818 \\ \hline \end{array}$$
b. How much more wind energy is produced in Texas than in California?

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Problem 78

Not all of the following application problems involve only subtraction. Some involve addition as well. Be sure to read each problem carefully.
Auto Insurance Costs The bar chart below shows the cities with the highest annual insurance rates in 2006.
a. Use the information in the bar chart to fill in the missing entries in the table.
$$\begin{array}{|l|l|} \hline \text { City } & \text { Cost (dollars) } \\ \hline \text { Detroit } & \\ \text { Philadelphia } & \\ \text { Los Angeles } & \\ & 3,303 \\ \hline \end{array}$$
b. How much more wind energy is produced in Texas than in California?

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