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 should be 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

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

Back

First, calculate the expression inside the parentheses: 7 + 41 = 48. Then divide by 2: 48 ÷ 2 = 24. Finally, subtract 15: 24 - 15 = 9.

Front

What is the result of 12 - 4 x 2, and why?

Back

The result is 4. According to the Order of Operations, multiplication is performed before subtraction. So, first calculate 4 x 2 = 8, then subtract: 12 - 8 = 4.

Front

Identify the error in the calculation 5 - 3 + 2 = 0.

Back

The error is that addition was done before subtraction. According to the Order of Operations, subtraction should be performed first: 5 - 3 = 2, then add 2: 2 + 2 = 4.

Front

How do you solve the expression (4x8)-(9+7)?

Back

First, calculate the expression inside the parentheses: 9 + 7 = 16. Then calculate 4 x 8 = 32. Finally, subtract: 32 - 16 = 16.

Front

What is the result of (24-16)÷8?

Back

The result is 1. First, calculate the expression inside the parentheses: 24 - 16 = 8. Then divide by 8: 8 ÷ 8 = 1.

Front

Why is it important to follow the Order of Operations?

Back

It is important to follow the Order of Operations 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 in the order they appear in the expression. They are of equal precedence.

Front

What is the difference between addition and subtraction in the Order of Operations?

Back

Addition and subtraction are also performed from left to right in the order they appear in the expression. They are of equal precedence.