Page 45 - BUSINESS MATHEMATICS MODULE 1 (WHOLE)_Neat

WALKTHROUGH
LESSON 3. ORDER OF OPERATION

One important concept in mathematics is the Order of Operations. Order of Operations is a

set of math rules that tell us which math operations (like addition or multiplication) to do first.
These RULES are important to avoid confusion in arriving at the final answer. For instance, giving

the SAME math problem to two different persons A and B to solve:

Consider the problem: 2 + 5 × 4

Person A may take it by adding 2 and 5 first which gives us 7 then multiplied by 4 that
gives us a 28.

2 + 5 × 4 = 7 × 4 = 28

Person B may solve it by multiplying 5 and 4 first which gives us 20 then add 2 that

results to 22.
2 + 5 × 4 = 2 + 20 = 22

Neither one made any mistakes with the calculations. They just did the operations in a M1_L3
DIFFERENT ORDER and got DIFFERENT ANSWERS. Then, this would be VERY confusing if

there are different answers to the same problem. Thus, the Order of Operations will set the
standards.

A. MDAS

In the case where the expression does not have signs or symbols of groupings such as
parenthesis, brackets, braces, and/or an expression involving exponent, the MDAS rule is followed.

MDAS rule stands for Multiplication, Division, Addition, and Subtraction.

The rules are as follow:

(i) First, solve all Multiplication and Division from left to right.

24 × 6 ÷ 2 = 144 ÷ 2 = 72
Example 1: ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗

Example 2: ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗
24 ÷ 6 × 2 = 4 × 2 = 8
(ii) Secondly, solve all Addition and Subtraction from left to right.

Example 1: ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗
24 + 6 − 2 = 30 − 2 = 28
24 − 6 + 2 = 18 + 2 = 20
Example 2: ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗

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