Order of Operations

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 is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'distribute' mean in mathematics?

Back

To distribute means to multiply a single term by each term inside a set of parentheses. For example, in the expression 3(2 + 4), you would distribute 3 to both 2 and 4, resulting in 6 + 12.

Front

Simplify the expression: 4(2x + 3) - 2(3x - 1)

Back

2x + 14

Front

What is the result of 2 + (9^2 - 4)?

Back

79

Front

Distribute and simplify: 15 - \frac{2}{3}(6w + 12) + 2w

Back

-2w + 7

Front

Simplify the radical: \sqrt{98}

Back

7\sqrt{2}

Front

What is the simplified result of 4 + 9 + 8 ÷ 4?

Back

15

Front

What is the first step in solving an expression using the Order of Operations?

Back

The first step is to solve any expressions 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 perform them in the order they appear in the expression.

Front

What is the purpose of using parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, helping to clarify the order of calculations.