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Evaluate the following expression

publish date2025/12/23 10:41:52.030927 UTC

[-21 + (-51)] + (-17 + 6)

Answer = (1)

Correct Answer

(1) -37

Explanation

We will perform the addition within the brackets and the addition within the parentheses first.  Then we will add those results.  By the order of operations rule, we must perform the calculations within the grouping symbols first.

Use the rule for adding two integers that have the same sign to do the addition within the brackets and the rule for adding two integers that have different signs to do the addition within parentheses.

  • Add within each pair of grouping symbols
    • [-21 + (-5)] + (-17 + 6) = -26 + (-11)
  • Use the rule for adding two integers that have the same sign
    • = -37

Reference

Mathematics for college students


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