Quick answer
Subtracting a negative number means adding its positive opposite. Here is why the rule works and how to avoid sign errors.
Rewrite the operation
For any numbers a and b, a - (-b) = a + b. The first minus is subtraction; the second belongs to the negative number.
Try a number-line explanation
Starting at 3, subtracting -4 moves four units right, not left. You land on 7.
Separate signs with parentheses
Writing 6 - (-2) is easier to read than 6--2. Parentheses help prevent copying errors.
Worked examples
3 - (-4) = 7-5 - (-2) = -38 - (-8) = 16
Common mistake to avoid
Do not change every minus sign into a plus. Only subtracting a negative becomes addition.
Practice questions
Try these without looking at the answers first. Explain your reasoning aloud or write each step.
- Question:
7 - (-3)— Answer:10 - Question:
-4 - (-9)— Answer:5 - Question:
2 - 6— Answer:-4
What to learn next
Review the related lessons linked below, then practice independently. If you make an error, write down which rule you used and why it did not apply.
