Evaluate expressions involving exponents

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 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 × 2 × 2 = 8).

Front

Evaluate: 2^4

Back

16

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by performing the operations indicated in the expression.

Front

What is the base in an exponent?

Back

The base is the number that is being multiplied by itself. In the expression 5^2, 5 is the base.

Front

Evaluate: (3^2 + 4) ÷ 2

Back

(9 + 4) ÷ 2 = 13 ÷ 2 = 6.5

Front

Translate into an algebraic expression: 5 times a number n.

Back

5n

Front

Evaluate: 10 - 2^3 + 6

Back

10 - 8 + 6 = 8.

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: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

Front

Evaluate: 4 + 3 × 2^2

Back

4 + 3 × 4 = 4 + 12 = 16.

Front

Translate into an algebraic expression: The sum of a number x and 10, multiplied by 2.

Back

2(x + 10)