Order of Operations Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Evaluate 2×(3+5)2−10÷22 \times (3 + 5)^2 - 10 \div 2.

Solution

  1. 1
    Parentheses first: 3+5=83 + 5 = 8.
  2. 2
    Exponent: 82=648^2 = 64.
  3. 3
    Multiplication: 2×64=1282 \times 64 = 128.
  4. 4
    Division: 10÷2=510 \div 2 = 5.
  5. 5
    Subtraction: 128−5=123128 - 5 = 123.

Answer

123123
When an expression contains parentheses, exponents, multiplication, division, and subtraction, strictly follow PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), then Addition/Subtraction (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).

Learn more about Order of Operations →

More Order of Operations Examples

Example 1 easy

Evaluate [formula].

Example 3 medium

Evaluate [formula].

Example 4 hard

Evaluate [formula].

← All Order of Operations Examples Order of Operations Concept