LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

SIMPLIFICATION - DMAS RULES

**SIMPLIFICATION -**

**As we all know that, the four basic mathematical operations are Addition,
Subtraction, Multiplication and Division.**

**For a sum having many operators
(+, -, x, ÷), we have to know which operator must be solved first. Simplification explains the order of operations
in a sum.**

**The BODMAS rule states that we should calculate the Brackets first, then
the Orders (of, powers, roots), then
Division followed by Multiplication, and finally Addition and Subtraction.**

**BODMAS Rule is a short form for**

**Ø Brackets**

**Ø
Of**

**Ø Division**

**Ø Multiplication**

**Ø Addition**

**Ø Subtraction**

**According to the information, ACHILLES RESEFELT was invented BODMAS.
It helps students to remember the order for dealing with mathematical operators.**

**(a) In class IV, we shall learn to solve sums based on the last 4 letters DMAS.**

**(b) B (Brackets) and O (of) will be explained
in the next class.**

**(i) For any sum, these four operators are solved one after the other.**

**(ii) This order cannot be changed.**

**(iii) If we have ‘+’ , ‘x’ , ‘–‘ , then first we will do multiplication, then addition, followed by subtraction.**

**(iv) If we have '÷‘ , ‘x’ , ‘–‘ , then first we will do division, multiplication, and then subtraction.**

**(v) If we have '÷‘ , ‘+’ , ‘–‘ , then first we will do division, addition, and then subtraction.**

**For example in a sum, 150 + 240 ÷ 12 x 2 – 50**

**(Shall we start with addition
and then do division, multiplication followed
by subtraction ?**

**NO, According to DMAS, we will first do division, then multiplication followed by addition and at last subtraction.)**

**Example.1) 150 + 240 ÷ 12 x 2 – 50**

**= 150 + 20 X 2 - 50**

**= 150 + 40 - 50**

**= 140 (Ans.)**

**
**

**Example.2) 845672 — 454700 ÷ 10
**

**
**

**845672 — 454700 ÷ 10 (When ‘—‘ and ‘÷’ is there, we do ‘÷’ first.)**

**= 845672 — 45470 (Short division by 10)**

**
= 800202. (Ans.)**

**
**

**Example.3) 35 x 480 ÷ 24 + 170825
**

**35 x 480 ÷ 24 + 170825 (Here, the order is ‘÷’, ‘x’, ‘+’.)**

**= 35 x 20 + 170825 **

**(Or you can give number below the operators with pencil.)**

**= 700 + 170825**

**= 171525 (Ans.)**

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