Rewriting a Subtraction Problem as an Addition Problem
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.
Examples
–82 – 14 = –82 + (–14)
20 – (–6) = 20 + 6
x –
y = x + (– y)
Practice
Rewrite as an addition problem.
1.
8 – 5
2.
– 29 – 4
3.
– 6 – (–10)
4.
15 – x
5.
40 –
85
6.
y – 37
7.
– x – (–14)
8.
– x – 9
Solutions
1.
8 – 5 = 8 + (–5)
2.
– 29 – 4 = –29 + (–4)
3.
– 6 – (–10) = –6 + 10
4.
15 – x = 15 + (–x)
5.
40 –
85 = 40 + (–85)
6.
y – 37 = y + (–37)
7.
– x – (–14) = –x + 14
8.
– x – 9 = –x + (–9)
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