Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates 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 the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you solve an expression with parentheses?

Back

You solve expressions with parentheses first, performing the operations inside the parentheses before applying the Order of Operations to the rest of the expression.

Front

What is the result of the expression 5 x (6 - 3)?

Back

The result is 15, as you first calculate the expression inside the parentheses (6 - 3 = 3) and then multiply by 5.

Front

How do you handle multiplication and division in an expression?

Back

Multiplication and division are performed from left to right as they appear in the expression, according to the Order of Operations.

Front

What is the result of the expression (7 x 5) + 5?

Back

The result is 40. First, calculate (7 x 5 = 35), then add 5.

Front

What is the result of the expression (24 - 16) ÷ 8?

Back

The result is 1. First, calculate (24 - 16 = 8), then divide by 8.

Front

How do you solve an expression with both addition and multiplication?

Back

According to the Order of Operations, you perform multiplication before addition. For example, in 18 + (6 - 2) x 2, you first calculate (6 - 2) = 4, then multiply by 2 to get 8, and finally add 18 to get 26.

Front

What is the result of the expression 2 x 9 ÷ 3?

Back

The result is 6. You perform the multiplication and division from left to right: first calculate (2 x 9 = 18), then divide by 3.

Front

What is the importance of using parentheses in mathematical expressions?

Back

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