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

What is the first step in solving the expression 18 + (6 – 2) × 2?

Back

The first step is to solve the expression inside the parentheses: (6 – 2) = 4.

Front

In the expression 3 + 4 x 6 - 4, which operation should be performed first?

Back

Multiplication should be performed first.

Front

How do you simplify the expression (7 + 41) ÷ 2 – 15?

Back

First, calculate (7 + 41) = 48, then divide by 2 to get 24, and finally subtract 15 to get 9.

Front

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

Back

The result is 40.

Front

How do you solve the expression (24-16)÷8?

Back

First, calculate (24-16) = 8, then divide by 8 to get 1.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations is crucial to ensure that mathematical expressions are evaluated correctly and consistently.

Front

What is the result of the expression 5 + 2 × 3?

Back

The result is 11, because you perform the multiplication first: 2 × 3 = 6, then add 5.

Front

In the expression 10 - 2 + 3 × 4, what is the correct order of operations?

Back

First, perform the multiplication: 3 × 4 = 12, then do the addition and subtraction from left to right: 10 - 2 + 12 = 20.