CLASS-4
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.

(aIn class IV, we shall learn to solve sums based on the last 4 letters DMAS.

(bB (Brackets) and O (of) will be explained in the next class.

class-4-simplification-2.png

(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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