Sometimes in algebra it is easier to think of a subtraction problem as an addition problem. One advantage to this is that you can rearrange the terms in an addition problem but not a subtraction problem: 3 + 4 = 4 + 3 but 4 – 3 ≠ 3 – 4. The minus sign can be replaced with a plus sign if you change the sign of the number following it: 4 – 3 = 4 + (–3). The parentheses are used to show that the sign in front of the 3 is a negative sign and not a minus sign.
Practice
Rewrite as an addition problem.
1.
8 – 5 =
2.
15 – x =
3.
y – 37 =
Solutions
1.
8 – 5 = 8 + (–5)
2.
15 – x = 15 + (–x)
3.
y – 37 = y + (–37)
Sumber
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Mathematician
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