Order of Operations Math Example 4

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Example 4

hard
Evaluate 5+32×2−(12÷4+1)5 + 3^2 \times 2 - (12 \div 4 + 1).

Solution

  1. 1
    Parentheses first: 12÷4=312 \div 4 = 3, then 3+1=43 + 1 = 4.
  2. 2
    Exponent: 32=93^2 = 9.
  3. 3
    Multiplication: 9×2=189 \times 2 = 18.
  4. 4
    Left to right addition and subtraction: 5+18−4=195 + 18 - 4 = 19.

Answer

1919
Work through PEMDAS layer by layer. Inside the parentheses, division comes before addition. Then evaluate the exponent, then multiplication, and finally combine using addition and subtraction from left to right.

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

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Example 2 medium

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Example 3 medium

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