Order of Operations

Front

What is the Order of Operations?

Back

A set of rules that determines the sequence in which calculations are performed in a mathematical expression.

Front

What does PEMDAS stand for?

Back

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Simplify: 3 + 5 × 2

Back

13 (First multiply 5 × 2 = 10, then add 3.)

Front

What operation do you perform first in the expression: 6 + (2 × 3)?

Back

You perform the multiplication first: 2 × 3 = 6, then add 6 + 6 = 12.

Front

Evaluate: 4 × (3 + 2) - 5

Back

15 (First, calculate inside the parentheses: 3 + 2 = 5, then 4 × 5 = 20, and finally 20 - 5 = 15.)

Front

What is the value of 2³?

Back

8 (2 raised to the power of 3 is 2 × 2 × 2 = 8.)

Front

Simplify: (8 - 3) × 2 + 4

Back

12 (First, calculate inside the parentheses: 8 - 3 = 5, then 5 × 2 = 10, and finally 10 + 4 = 14.)

Front

What is the result of 10 ÷ 2 + 3 × 4?

Back

16 (First, divide: 10 ÷ 2 = 5, then multiply: 3 × 4 = 12, and finally add: 5 + 12 = 17.)

Front

Evaluate: 5 + 2 × (3 + 4)

Back

19 (First, calculate inside the parentheses: 3 + 4 = 7, then multiply: 2 × 7 = 14, and finally add: 5 + 14 = 19.)

Front

What is the first step in solving: 12 - 4 ÷ 2?

Back

Division (You perform the division first: 4 ÷ 2 = 2, then subtract: 12 - 2 = 10.)