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 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 12 - 4 x 2, which operation should be performed first?

Back

Multiplication should be performed first, so the expression is evaluated as 12 - (4 x 2) = 12 - 8 = 4.

Front

How do you solve the expression 25 - 14 + 3?

Back

You perform the operations from left to right: 25 - 14 = 11, then 11 + 3 = 14.

Front

What is the result of (4 x 8) - (9 + 7)?

Back

First, calculate the values in parentheses: (4 x 8) = 32 and (9 + 7) = 16. Then, subtract: 32 - 16 = 16.

Front

In the expression 18 + 2 x 4, which operation is performed first?

Back

Multiplication is performed first, so the expression is evaluated as 18 + (2 x 4) = 18 + 8 = 26.

Front

What is the first operation to perform in the expression (12 + 10) ÷ 10 x 14 - 6?

Back

The first operation to perform is addition: (12 + 10) = 22.

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, leading to the correct answer.

Front

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

Back

According to the Order of Operations, multiplication is performed first: 3 x 2 = 6, then 5 + 6 = 11.

Front

How would you evaluate the expression 7 - 2 + 5?

Back

You evaluate from left to right: 7 - 2 = 5, then 5 + 5 = 10.