Order of Operations and Powers/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

What does an exponent represent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, 3² means 3 multiplied by itself, which equals 9.

Front

Calculate 5 + 2 × 3 using the order of operations.

Back

5 + 2 × 3 = 5 + 6 = 11.

Front

What is the value of 4³?

Back

4³ = 4 × 4 × 4 = 64.

Front

True or False: 6 + (2 × 3) = 12.

Back

False. 6 + (2 × 3) = 6 + 6 = 12.

Front

How do you express 2 × 2 × 2 × 2 using an exponent?

Back

2 × 2 × 2 × 2 = 2⁴.

Front

Evaluate 3² + 4².

Back

3² + 4² = 9 + 16 = 25.

Front

What is the result of 10 - 2 × 5 + 3?

Back

10 - 2 × 5 + 3 = 10 - 10 + 3 = 3.

Front

If a = 2, what is the value of a³?

Back

If a = 2, then a³ = 2³ = 8.

Front

What is the value of (3 + 5) × 2?

Back

(3 + 5) × 2 = 8 × 2 = 16.