Order of Operations with Exponents

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. 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 number is multiplied by itself. For example, in 3², 3 is the base and 2 is the exponent, meaning 3 is multiplied by itself 2 times (3 x 3 = 9).

Front

Evaluate: 3 + 4 × 2

Back

11 (First, multiply 4 × 2 = 8, then add 3 + 8 = 11).

Front

Evaluate: (5 + 3)²

Back

64 (First, add 5 + 3 = 8, then square it: 8² = 64).

Front

What is the result of 2² + 3²?

Back

13 (2² = 4 and 3² = 9, so 4 + 9 = 13).

Front

Evaluate: 6 × (2 + 4)

Back

36 (First, add 2 + 4 = 6, then multiply 6 × 6 = 36).

Front

What is the value of 10 - (3 + 2) × 2?

Back

0 (First, calculate (3 + 2) = 5, then multiply 5 × 2 = 10, and finally 10 - 10 = 0).

Front

What does the term 'parentheses' indicate in an expression?

Back

Parentheses indicate that the operations inside them should be performed first before any other operations in the expression.

Front

Evaluate: 8 ÷ 2(2 + 2)

Back

16 (First, calculate (2 + 2) = 4, then 2 × 4 = 8, and finally 8 ÷ 2 = 4).

Front

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

Back

30 (First, calculate (3 + 5) = 8, then 4 × 8 = 32, and finally 32 - 2 = 30).