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A team's points in a treasure hunt change round by round: −15, then +22, then −9, then +5. The team starts at 0. What are its points at the end, and is that above or below the start?

Class 6IntegersIntegers
  • A−3 points, below the start
  • B51 points, above the start
  • C0 points, level with the start
  • D3 points, above the start

Step-by-Step Solution

Add in order: 0 + (−15) = −15, then −15 + 22 = 7, then 7 + (−9) = −2, then −2 + 5 = 3. The team finishes on 3 points, just above where it started. Adding every round as a positive gives 51, and losing track of one sign is what turns 3 into −3.
Answer: D) 3 points, above the start

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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