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Suppose the sum of two whole numbers is 11, and from 11 we remove 4. Using the number line to help our visualization, we see that if we are located at 11 and move 4 units to the left, and thus remove 4 units, we will be located at 7. Thus, 7 units remain when we remove 4 units from 11 units.
Subtraction can be thought of as the opposite of addition. We show this in the problems in Sample Set A.
$8-5=3$ since $3+5=8$ .
$9-3=6$ since $6+3=9$ .
Complete the following statements.
$7-5=$
$7-5=2$ since $2+5=7$
$9-1=$
$9-1=8$ since $8+1=9$
$\text{17}-8=$
$\mathrm{17}-8=9$ since $9+8=\mathrm{17}$
We'll study the process of the subtraction of two whole numbers by considering the difference between 48 and 35.
which we write as 13.
To subtract two whole numbers,
The process
$\begin{array}{c}\hfill 48\\ \hfill \underline{-35}\end{array}$
$\begin{array}{c}\hfill 48\\ \hfill \underline{-35}\\ \hfill 13\end{array}$
Perform the following subtractions.
$\begin{array}{c}\hfill 275\\ \hfill \underline{-142}\\ \hfill 133\end{array}$
$\begin{array}{}5-2=3\text{.}\\ 7-4=3\text{.}\\ 2-1=1\text{.}\end{array}$
$\begin{array}{c}\hfill \mathrm{46,042}\\ \hfill \underline{-\mathrm{1,031}}\\ \hfill \mathrm{45,011}\end{array}$
$\begin{array}{}2-1=1\text{.}\\ 4-3=1\text{.}\\ 0-0=0\text{.}\\ 6-1=5\text{.}\\ 4-0=4\text{.}\end{array}$
Find the difference between 977 and 235.
Write the numbers vertically, placing the larger number on top. Line up the columns properly.
$\begin{array}{c}\hfill 977\\ \hfill \underline{-235}\\ \hfill 742\end{array}$
The difference between 977 and 235 is 742.
In Keys County in 1987, there were 809 cable television installations. In Flags County in 1987, there were 1,159 cable television installations. How many more cable television installations were there in Flags County than in Keys County in 1987?
We need to determine the difference between 1,159 and 809.
There were 350 more cable television installations in Flags County than in Keys County in 1987.
Perform the following subtractions.
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