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 common acronym used to remember this order is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

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

Front

In the expression 23 + (30 ÷ 10) x 4, what operation should be performed first?

Back

The operation inside the parentheses, which is 30 ÷ 10.

Front

What is the result of the expression 3 + 4 x 6 - 4 when following the Order of Operations?

Back

The result is 19. First, perform the multiplication (4 x 6 = 24), then addition and subtraction from left to right: 3 + 24 - 4 = 23.

Front

How do you solve the expression 7 x (7 - 4) ÷ 3?

Back

First, solve the expression in parentheses (7 - 4 = 3), then multiply: 7 x 3 = 21, and finally divide by 3: 21 ÷ 3 = 7.

Front

What is the result of the expression 4 x 5 ÷ 2 - 1?

Back

The result is 9. First, perform the multiplication (4 x 5 = 20), then division (20 ÷ 2 = 10), and finally subtraction (10 - 1 = 9).

Front

In the expression 18 − 4 × 2, which operation should be performed first?

Back

The multiplication, which is 4 × 2.

Front

What is the final result of the expression 18 − 4 × 2?

Back

The final result is 10. First, perform the multiplication (4 × 2 = 8), then subtraction: 18 - 8 = 10.

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 consistently and correctly, leading to the same result regardless of who performs the calculation.

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 that if both operations appear in the same expression, you perform them in the order they appear.