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

What does 'exponent' mean in mathematics?

Back

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

Front

What does the term 'cubed' mean?

Back

Cubed means raised to the power of 3. For example, 3 cubed (3^3) equals 27.

Front

Calculate: 5 + 2 x 3.

Back

11 (According to the order of operations, multiplication is done before addition.)

Front

Calculate: 4 x (3 + 2) - 5.

Back

15 (First, calculate inside the parentheses: 3 + 2 = 5, then 4 x 5 - 5 = 20 - 5 = 15.)

Front

What is the value of 2^4?

Back

16 (2 raised to the power of 4 means 2 x 2 x 2 x 2 = 16.)

Front

What is the value of the expression: 24 ÷ 2^3 + 8 x (4 + 16)?

Back

163 (First, calculate 2^3 = 8, then 24 ÷ 8 = 3. Next, calculate inside the parentheses: 4 + 16 = 20, then 8 x 20 = 160. Finally, 3 + 160 = 163.)

Front

What is the first step in solving the expression: 8 + 3 x (5 + 2) - 7 x 2?

Back

Calculate inside the parentheses first: (5 + 2) = 7.

Front

What is the result of 3^2?

Back

9 (3 raised to the power of 2 means 3 x 3 = 9.)

Front

What does 'raised to the power of 2' mean?

Back

It means multiplying the number by itself. For example, 4 raised to the power of 2 (4^2) equals 16.