The order of operations is a set of rules that tells us the order in which we should perform calculations in a mathematical expression. We use the acronym BODMAS to help us remember the order:
Let's break down each part:
1. Brackets:
Example:
2 + (3 x 4)
We calculate 3 x 4 = 12 first, then add 2, giving us 14.
2. Orders:
Example:
2 + 3²
We calculate 3² = 9 first, then add 2, giving us 11.
3. Division and Multiplication:
Example:
6 / 2 x 3
We divide 6 by 2 first (6 / 2 = 3), then multiply by 3 (3 x 3 = 9).
4. Addition and Subtraction:
Example:
5 + 2 - 1
We add 5 and 2 first (5 + 2 = 7), then subtract 1 (7 - 1 = 6).
Example Problem:
Solve the following expression using BODMAS:
10 - (3 + 2)² / 5 x 2
Solution:
Therefore, the answer is 0.
Practice Makes Perfect!
Work through some practice problems using BODMAS to solidify your understanding. You can find plenty of practice questions online and in textbooks.
Remember: Following the order of operations ensures we get the correct answer every time!