Order of Operations

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. 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 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 15 + 7 × 2 – 11 + 35, which operation should be performed first?

Back

Multiplication (7 × 2) should be performed first according to the order of operations.

Front

Calculate the result of the expression 15 + 7 × 2 – 11 + 35.

Back

The result is 53.

Front

In the expression (82 ÷ 2) × 3 – 17, what is the first operation to perform?

Back

The first operation is division (82 ÷ 2).

Front

What is the result of the expression (82 ÷ 2) × 3 – 17?

Back

The result is 106.

Front

In the expression 10 - 4 ÷ 1 x 5, which operation is performed first?

Back

Division is performed first (4 ÷ 1).

Front

What is the result of the expression 8 ÷ 8 + 6 × 2?

Back

The result is 13.

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 they are of equal precedence and the operation that appears first in the expression is performed first.

Front

Why is it important to follow the order of operations?

Back

Following the order of operations ensures that mathematical expressions are evaluated consistently and correctly, leading to the same result regardless of who performs the calculation.