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Rewrite each subtraction problem as an addition problem in which you add the opposite of the number being subtracted.

7. [tex]\(-7 - 4 \rightarrow\)[/tex]
8. [tex]\(14 - 6 \rightarrow\)[/tex]
9. [tex]\(-8 - (-4) \rightarrow\)[/tex]
10. [tex]\(3 - (-9) \rightarrow\)[/tex]
11. [tex]\(5 - 12 \rightarrow\)[/tex]
12. [tex]\(13 - (-2) \rightarrow\)[/tex]


Sagot :

Sure! Let's rewrite each subtraction problem as an addition problem by adding the opposite (or additive inverse) of the number being subtracted.

7. [tex]\(-7 - 4 \rightarrow -7 + (-4)\)[/tex]

For the first problem, we rewrite [tex]\(-7 - 4\)[/tex] as [tex]\(-7\)[/tex] added to the opposite of [tex]\(4\)[/tex], which is [tex]\(-4\)[/tex].
[tex]\[ -7 + (-4) \][/tex]
By adding these, we get:
[tex]\[ -7 + (-4) = -11 \][/tex]

8. [tex]\(14 - 6 \rightarrow 14 + (-6)\)[/tex]

For the second problem, we rewrite [tex]\(14 - 6\)[/tex] as [tex]\(14\)[/tex] added to the opposite of [tex]\(6\)[/tex], which is [tex]\(-6\)[/tex].
[tex]\[ 14 + (-6) \][/tex]
By adding these, we get:
[tex]\[ 14 + (-6) = 8 \][/tex]

9. [tex]\(-8 - (-4) \rightarrow -8 + 4\)[/tex]

For the third problem, we rewrite [tex]\(-8 - (-4)\)[/tex] as [tex]\(-8\)[/tex] added to the opposite of [tex]\(-4\)[/tex], which is [tex]\(4\)[/tex].
[tex]\[ -8 + 4 \][/tex]
By adding these, we get:
[tex]\[ -8 + 4 = -4 \][/tex]

10. [tex]\(3 - (-9) \rightarrow 3 + 9\)[/tex]

For the fourth problem, we rewrite [tex]\(3 - (-9)\)[/tex] as [tex]\(3\)[/tex] added to the opposite of [tex]\(-9\)[/tex], which is [tex]\(9\)[/tex].
[tex]\[ 3 + 9 \][/tex]
By adding these, we get:
[tex]\[ 3 + 9 = 12 \][/tex]

11. [tex]\(5 - 12 \rightarrow 5 + (-12)\)[/tex]

For the fifth problem, we rewrite [tex]\(5 - 12\)[/tex] as [tex]\(5\)[/tex] added to the opposite of [tex]\(12\)[/tex], which is [tex]\(-12\)[/tex].
[tex]\[ 5 + (-12) \][/tex]
By adding these, we get:
[tex]\[ 5 + (-12) = -7 \][/tex]

12. [tex]\(13 - (-2) \rightarrow 13 + 2\)[/tex]

For the sixth problem, we rewrite [tex]\(13 - (-2)\)[/tex] as [tex]\(13\)[/tex] added to the opposite of [tex]\(-2\)[/tex], which is [tex]\(2\)[/tex].
[tex]\[ 13 + 2 \][/tex]
By adding these, we get:
[tex]\[ 13 + 2 = 15 \][/tex]

So, the detailed step-by-step rewritten addition problems and their solutions are as follows:

7.
[tex]\[ -7 + (-4) = -11 \][/tex]

8.
[tex]\[ 14 + (-6) = 8 \][/tex]

9.
[tex]\[ -8 + 4 = -4 \][/tex]

10.
[tex]\[ 3 + 9 = 12 \][/tex]

11.
[tex]\[ 5 + (-12) = -7 \][/tex]

12.
[tex]\[ 13 + 2 = 15 \][/tex]
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