Example

Simplifying 32÷4+(2)(7)-32 \div 4 + (-2)(-7)

To simplify an expression mixing division, multiplication, and addition, the order of operations requires completing the division and multiplication left-to-right before adding:

  1. Divide first (left to right): The division is on the left, so perform it first: 32÷4=8-32 \div 4 = -8 (different signs produce a negative quotient). The expression becomes 8+(2)(7)-8 + (-2)(-7).
  2. Multiply: Compute the multiplication next: (2)(7)=14(-2)(-7) = 14 (same signs produce a positive product). The expression becomes 8+14-8 + 14.
  3. Add: Compute the final sum: 8+14=6-8 + 14 = 6.

The final result is 66.

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Updated 2026-04-20

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