Order of Operations Math Example 3

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Example 3

medium
Evaluate 18−3×(4+1)+2318 - 3 \times (4 + 1) + 2^3.

Solution

  1. 1
    Parentheses: 4+1=54 + 1 = 5.
  2. 2
    Exponent: 23=82^3 = 8.
  3. 3
    Multiplication: 3×5=153 \times 5 = 15.
  4. 4
    Left to right: 18−15+8=1118 - 15 + 8 = 11.

Answer

1111
Follow PEMDAS carefully—parentheses and exponents are evaluated before multiplication, which is evaluated before addition and subtraction.

About Order of Operations

The agreed-upon sequence for evaluating expressions: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

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More Order of Operations Examples

Example 1 easy

Evaluate [formula].

Example 2 medium

Evaluate [formula].

Example 4 hard

Evaluate [formula].

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