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 order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

Front

What does the term 'exponent' mean?

Back

An exponent is a number that shows how many times a base number 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 = 8.

Front

Calculate: 3 + 5 × 2

Back

3 + 5 × 2 = 3 + 10 = 13 (Multiplication is done before addition).

Front

Calculate: (6 + 2) × 3

Back

(6 + 2) × 3 = 8 × 3 = 24 (Parentheses are calculated first).

Front

True or False: 2^4 is the same as 2 × 4.

Back

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

Front

What is the result of 5 - 3 + 2?

Back

5 - 3 + 2 = 4 (Subtraction is done before addition).

Front

Calculate: 8^2 + (7 - 4)^2

Back

8^2 + (7 - 4)^2 = 64 + 3^2 = 64 + 9 = 73.

Front

What is the first step in solving the expression 9 + (3 × 2)?

Back

The first step is to calculate the multiplication inside the parentheses: 3 × 2 = 6.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by performing all possible calculations and combining like terms.

Front

Calculate: (7 + 41) ÷ 2 – 15

Back

(7 + 41) ÷ 2 – 15 = 48 ÷ 2 – 15 = 24 – 15 = 9.