Order of Operations & 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 the term 'exponent' mean?

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 is multiplied by itself 3 times (2 x 2 x 2).

Front

Calculate: 2 + 3 × 4

Back

14 (According to the order of operations, multiplication is done before addition: 3 × 4 = 12, then 2 + 12 = 14).

Front

What is the value of 5^2?

Back

25 (5^2 means 5 multiplied by itself: 5 × 5 = 25).

Front

In the expression 4^3, what is the base?

Back

4 (In the expression 4^3, 4 is the base and 3 is the exponent).

Front

Evaluate: 6 + 2^3 × 2

Back

20 (First calculate 2^3 = 8, then 8 × 2 = 16, and finally 6 + 16 = 20).

Front

What does 9 cubed mean in mathematical terms?

Back

9 cubed means 9 raised to the power of 3, which is 9 × 9 × 9 = 729.

Front

If a number is raised to the power of 0, what is the result?

Back

1 (Any non-zero number raised to the power of 0 equals 1).

Front

What is the result of 3 + 5 × 2 - 4 ÷ 2?

Back

10 (Following the order of operations: 5 × 2 = 10, 4 ÷ 2 = 2, then 3 + 10 - 2 = 11).

Front

What is the value of 2^4?

Back

16 (2^4 means 2 multiplied by itself 4 times: 2 × 2 × 2 × 2 = 16).