Example

Simplifying 27÷3+(5)(6)-27 \div 3 + (-5)(-6)

To simplify an expression containing division, multiplication, and addition without grouping symbols, apply the order of operations by performing all multiplication and division from left to right before adding:

  1. Divide first (left to right): Since division is the leftmost operation, perform it first: 27÷3=9-27 \div 3 = -9 (dividing numbers with different signs produces a negative quotient). The expression becomes 9+(5)(6)-9 + (-5)(-6).
  2. Multiply: Next, compute the multiplication: (5)(6)=30(-5)(-6) = 30 (multiplying numbers with the same signs yields a positive product). The expression becomes 9+30-9 + 30.
  3. Add: Finally, add the integers: 9+30=21-9 + 30 = 21.

The final result is 2121. This example demonstrates that multiplication and division have the same precedence and must be executed strictly from left to right before resolving any addition.

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Updated 2026-05-01

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