Exponents and Order of Operations

Front

What is an exponent?

Back

An exponent is a number that shows how many times to use the base in a multiplication. For example, in 2³, 2 is the base and 3 is the exponent.

Front

What does it mean to square a number?

Back

To square a number means to raise it to the power of 2. For example, 4² = 4 x 4 = 16.

Front

What does it mean to cube a number?

Back

To cube a number means to raise it to the power of 3. For example, 3³ = 3 x 3 x 3 = 27.

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. The acronym PEMDAS helps remember it: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Calculate: 5 + 3 x 2

Back

5 + 3 x 2 = 5 + 6 = 11 (Multiplication first).

Front

Calculate: (6 + 2) x 3

Back

(6 + 2) x 3 = 8 x 3 = 24 (Parentheses first).

Front

What is 2⁴?

Back

2⁴ = 2 x 2 x 2 x 2 = 16.

Front

Which operation do you perform first in the expression 10 - 2 + 3?

Back

You perform addition first: 10 - 2 + 3 = 8 + 3 = 11.

Front

What is the value of 3² + 4²?

Back

3² + 4² = 9 + 16 = 25.

Front

What is the result of 8 ÷ 2 x 4?

Back

8 ÷ 2 x 4 = 4 x 4 = 16 (Division first).