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Question 46

Select all true statements about the sum -7 + 12 + (-9) + 4.

  1. The negative addends together contribute -16.Correct answer
  2. The positive addends together contribute 16.Correct answer
  3. The sum is 0.Correct answer
  4. The sum is 32, since all four magnitudes combine.
  5. The sum is -32, because the negative addends are written first.

Explanation

Gathering like signs puts seven and nine on the left and twelve and four on the right, two contributions of equal size pulling opposite ways, so they cancel completely. Adding the four magnitudes instead drops the signs during the gathering and turns two opposing moves into one long move in a single direction.

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Question 46: Select all true statements about the sum -7 + 12 + (-9) + 4. · Integers and Negative Numbers · Questena