Order of Operations with Exponents

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. The order is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'exponent' mean in mathematics?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 x 2 x 2).

Front

Solve: 3 + 4 × 2

Back

11 (According to the Order of Operations, multiplication is done before addition.)

Front

What operation do you perform first in the expression (5 + 3) × 2?

Back

You perform the addition inside the parentheses first, so 5 + 3 = 8.

Front

Solve: 6 ÷ 2 + 3 × 4

Back

15 (First, divide 6 by 2 to get 3, then multiply 3 by 4 to get 12, and finally add 3 + 12 = 15.)

Front

What is the result of (2 + 3)^2?

Back

25 (First, add 2 + 3 to get 5, then square it: 5 × 5 = 25.)

Front

What is the value of 10 - (2^3) + 4?

Back

6 (First, calculate 2^3 = 8, then 10 - 8 + 4 = 6.)

Front

What is the first step in solving the expression 8 - 2 × (3 + 1)?

Back

Calculate the expression inside the parentheses first: 3 + 1 = 4.

Front

Solve: (3 + 5) × (2^2)

Back

64 (First, calculate inside the parentheses: 3 + 5 = 8, then calculate 2^2 = 4, and finally multiply: 8 × 4 = 32.)

Front

What does PEMDAS stand for?

Back

PEMDAS is an acronym for the Order of Operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).