What is BODMAS
Chapters
What is BODMAS and how can it be used to simplify operator precedence
BODMAS as a term means
Brackets First of Operations/Orders/Exponents (Powers, Square Roots, Cube Roots etc) before Multiply, Divide, Add or Subtract
then
Multiply or Divide before you Add or Subtract
after which you perform
Addition and Subtraction
Here is one example
7 × (4 + 2) = 7 × 6 = 42 is Correct
7 × (4 + 2) = 28 + 2 = 30 is Wront
Here is a picture that you can print and keep it for your reference
Things to keep in mind
- Start Divide/Multiply from left side to right side since they perform equally.
- Start Add/Subtract from left side to right side since they perform equally.
Let's try to understand this by taking few examples
Brackets First
Example 1
7 × (4 + 2) =
7 × 6 =
42
is Correct
Example 2
(3+3)*(15-5)*10 =
6*10*10 =
600
is correct
Exponents
Example 1
2 × 42 + (1+3) =
2 x 16 + 4=
2 × 42 + 4 =
32 + 4 =
36
Example 2
(3 + 2)2 =
52 =
10
Multiply or divide (go left to right) before you perform addition or Subtraction
Example 1
30/15-10 =
2 - 10 =
-8
Example 2
30* 2 + (15-10) =
30 * 2 + 5 =
60 + 5 =
65
Addition and Subtraction (go left to right)
Example 1
30 + 15 - 10 =
45 - 10 =
35
Example 2
30 - 15 + 10 =
15 + 10 =
25
Let's take a complex equation as shown below
(20 - 4 * 4) + (2 × 32 + 6) = (Start inside brackets and start solving by operator precedence)
(20 - 16) + (2 x 9 + 6) = (solve multiply in first brackets and exponent in second one)
4 + (18 + 6) = (solve first bracket and perform multiply before addition)
4 + 24 = (solve second bracket)
28 (add all)
So you see how easy it becomes with BODMAS. Try solving Quiz questions and see how you perform. Check out other interesting Maths tutorials on SubjectCoach to get you started on various topics.
Description
This is a quick tip tutorial for you to understand what BODMAS is and how we can utilize it to make calculations simple.
This tutorial will be followed up by a Quiz
Prerequisites
Deep understanding of Number including Addition, Multiplication, Division, Subtraction etc
Audience
Students new to BODMAS
Learning Objectives
We are going to learn what BODMAS means and how we can simplify order of operations using BODMAS
Author: Subject Coach
Added on: 15th Dec 2014
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