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In June the water surface in a village well stood at −16 m, that is 16 m below ground level. After the monsoon it rose to −4 m. By how many metres did the water rise?

Class 6IntegersIntegers
  • A12 m
  • B20 m
  • C−12 m
  • D4 m

Step-by-Step Solution

The rise is the difference between the two levels: −4 − (−16) = −4 + 16 = 12 m. Answering 20 m comes from adding 16 and 4 instead of finding the gap between them, and a rise is a positive amount, so −12 m cannot be right either.
Answer: A) 12 m

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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