order of operations with exponents

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

Evaluate the expression: 5 + 2 × 3.

Back

11 (First, multiply 2 × 3 = 6, then add 5 + 6 = 11).

Front

What does the term 'exponent' mean?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2³, 2 is the base and 3 is the exponent.

Front

Evaluate the expression: 10 - 2² + 4.

Back

10 (First, calculate 2² = 4, then 10 - 4 + 4 = 10).

Front

What is the base in the expression 5²?

Back

5 is the base.

Front

Evaluate the expression: 3 + 4 × 2 - 1.

Back

10 (First, multiply 4 × 2 = 8, then 3 + 8 - 1 = 10).

Front

What is the result of 2³?

Back

8 (2 × 2 × 2 = 8).

Front

Evaluate the expression: (6 + 2) × 3.

Back

24 (First, calculate inside the parentheses: 6 + 2 = 8, then multiply: 8 × 3 = 24).

Front

What is the value of 4²?

Back

16 (4 × 4 = 16).

Front

Evaluate the expression: 12 ÷ 3 + 5 × 2.

Back

14 (First, divide: 12 ÷ 3 = 4, then multiply: 5 × 2 = 10, finally add: 4 + 10 = 14).