Exponents and Order of Operations

Front

What is an exponent?

Back

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

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Calculate: 3^2 + 4^2

Back

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

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by performing operations and combining like terms.

Front

What is the value of 5^0?

Back

Any non-zero number raised to the power of 0 is 1. Therefore, 5^0 = 1.

Front

True or False: Multiplication comes before addition in the order of operations.

Back

True. In the order of operations, multiplication is performed before addition.

Front

Calculate: 2 + 3 x 4

Back

2 + 3 x 4 = 2 + 12 = 14.

Front

What is the first step in solving the expression: 8 + (3 x 2)?

Back

The first step is to solve the expression inside the parentheses: (3 x 2) = 6, then add: 8 + 6 = 14.

Front

What is the value of 2^4?

Back

2^4 = 2 x 2 x 2 x 2 = 16.

Front

What is the difference between a base and an exponent?

Back

The base is the number being multiplied, and the exponent indicates how many times the base is used as a factor.