Order of Operations with Exponents

Front

What is the Order of Operations?

Back

The Order of Operations is 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). Often remembered by the acronym PEMDAS.

Front

What does 'Exponents' mean in mathematics?

Back

Exponents are a way to express repeated multiplication of a number by itself. For example, 2^3 means 2 multiplied by itself 3 times: 2 × 2 × 2 = 8.

Front

Calculate: (15 ÷ 3)² + 9 ÷ 3

Back

28

Front

What is the result of 30 - 14 • 2 + 8?

Back

10

Front

Solve: (2 + 7 - 1) ÷ 2²

Back

2

Front

What is the value of 64 ÷ (15 - 7) x 2 - 9?

Back

7

Front

Calculate: 15 + 7 × 2 – 11 + 35

Back

53

Front

What is the first step in solving an expression with parentheses?

Back

The first step is to solve any operations inside parentheses.

Front

How do you handle exponents in an expression?

Back

You calculate the exponent before performing multiplication, division, addition, or subtraction.

Front

What is the result of 5 + 3 × 2?

Back

11 (because you multiply first: 3 × 2 = 6, then add: 5 + 6 = 11).