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Over four months the change in Dev's weight was recorded as +2 kg, −5 kg, +1 kg and −3 kg. Which single integer describes his overall change, in kilograms?

Class 6IntegersIntegers
  • A11
  • B−1
  • C5
  • D−5

Step-by-Step Solution

Add the gains and the losses: the positives give 2 + 1 = 3 and the negatives give (−5) + (−3) = −8, so the total is 3 + (−8) = −5. Dev is 5 kg lighter. Treating every entry as positive gives 11, which is the usual slip here.
Answer: D) −5

Key idea: Integers on the number line

Draw a line, mark zero in the middle, and step off equal distances. To the right: 1, 2, 3, …. To the left: −1, −2, −3, …. Every integer has its own spot. The further left, the smaller the integer. The further right, the larger. This single picture is the foundation for everything else in this topic — when in doubt, draw the line.

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