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Which subtraction has the same value as −4 + 11?

Class 6IntegersIntegers
  • A−4 − 11
  • B4 − 11
  • C
  • D

Step-by-Step Solution

Because a − (−b) = a + b, the expression −4 − (−11) is exactly −4 + 11 = 7. The other three work out to −15, −7 and 15. The trap is picking 11 − (−4), which swaps the two numbers around and turns the answer into 15.
Answer: D)

Key idea: Subtracting integers

Subtraction of integers is just adding the **opposite**: a − b = a + (−b). So 5 − 8 = 5 + (−8) = −3. And 5 − (−8) = 5 + 8 = 13. The 'minus minus' that looks confusing in symbols is simply: subtracting a negative is the same as adding its positive twin. Always rewrite subtraction as addition of the opposite — it removes every sign-error trap.

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