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 an exponent represent?

Back

An exponent represents the number of times a base is multiplied by itself. For example, 2^3 means 2 x 2 x 2, which equals 8.

Front

Solve: (25 - 5) x 4 ÷ 2

Back

40

Front

Solve: 7 + (12-3)^2

Back

88

Front

True or False: 2^5 is the same as 2 x 5.

Back

False. 2^5 means 2 x 2 x 2 x 2 x 2, which equals 32.

Front

Solve: (2 + 7 - 1) ÷ 2^2

Back

2

Front

Solve: (4x8)-(9+7)

Back

16

Front

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

Back

The first step is to solve the operations inside the parentheses.

Front

What is the difference between multiplication and exponentiation?

Back

Multiplication is repeated addition of the same number, while exponentiation is repeated multiplication of the same number.

Front

What is the result of 3^2 + 4^2?

Back

3^2 + 4^2 = 9 + 16 = 25.