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 x 2 x 2.

Front

Solve: (25 - 5) x 4 ÷ 2

Back

40

Front

True or False: 2^5 is the same as 2 x 5.

Back

False

Front

What is the result of (4 x 8) - (9 + 7)?

Back

16

Front

Solve: (2 + 7 - 1) ÷ 2^2

Back

2

Front

Which expression is equivalent to 6^2 - 2^3?

Back

(6 x 6) - (2 x 2 x 2)

Front

What is the first step in solving an expression with parentheses?

Back

The first step is to solve any operations inside parentheses.

Front

What is the difference between multiplication and division in the Order of Operations?

Back

Multiplication and division are performed from left to right, meaning you do them in the order they appear in the expression.

Front

What is the difference between addition and subtraction in the Order of Operations?

Back

Addition and subtraction are also performed from left to right, similar to multiplication and division.