Order of Operations

Front

What is the Order of Operations?

Back

A set of rules that determines the correct sequence to evaluate a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'Parentheses' mean in the Order of Operations?

Back

Parentheses are symbols used to group parts of a mathematical expression. Operations inside parentheses should be performed first.

Front

What is the first step in solving the expression: 23 + (30 ÷ 10) x 4?

Back

Perform the operation inside the parentheses: 30 ÷ 10 = 3.

Front

Solve the expression: 4 x 8 - (9 + 7)

Back

4 x 8 = 32; 9 + 7 = 16; 32 - 16 = 16.

Front

What is the result of the expression: 7 x (7 - 4) ÷ 3?

Back

7 - 4 = 3; 7 x 3 = 21; 21 ÷ 3 = 7.

Front

In the expression 3 + 4 x 6 - 4, what operation should be done first?

Back

Multiplication: 4 x 6 = 24.

Front

What is the result of the expression: 16 ÷ 2 x 4 - 3?

Back

16 ÷ 2 = 8; 8 x 4 = 32; 32 - 3 = 29.

Front

What does 'Exponents' mean in the Order of Operations?

Back

Exponents indicate how many times a number (the base) is multiplied by itself. They are evaluated after parentheses and before multiplication and division.

Front

What is the result of the expression: (2 + 3) x (4 - 1)?

Back

(2 + 3) = 5; (4 - 1) = 3; 5 x 3 = 15.

Front

What is the importance of the Order of Operations?

Back

It ensures that everyone evaluates mathematical expressions in the same way, leading to consistent and correct results.