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In a chess tournament Ishan's rating changed by −40 points in the first round. In the second round it changed by the additive inverse of that amount. What was his total rating change over the two rounds?

Class 6IntegersIntegers
  • A0
  • B−80
  • C40
  • D−40

Step-by-Step Solution

The additive inverse of −40 is +40, and −40 + 40 = 0, so his rating finishes exactly where it began. The trap is −80, which reads the second round as another loss of 40 rather than the opposite of the first change.
Answer: A) 0

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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