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BODMAS Rule

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BODMAS Rule

Maths

2021-08-10 14:07:46

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BODMAS Rule

The BODMAS rule is used in our daily lives for calculations and bookkeeping. BODMAS is used in India, whereas PEDMAS is used in the United States (Parentheses, Exponents, Multiplication, Division, Addition, and subtraction).

What is BODMAS RULE, exactly?

BODMAS states the use of Bracket, Order, Division, Multiplication, Addition, and Subtraction in a  particular order. As a result, it is the sequence that is used in the solution of mathematical equations and formulae. It's referred to as a mathematical operation order. This rule is utilized when more than one formula is employed in an operation. Addition, subtraction, division, and other mathematical operations are examples of mathematical operations.

What BODMAS means in terms of mathematical operation?

To apply the rule, go from left to right. In an equation, division comes first, and then comes multiplication. Next, addition is given priority, followed by subtraction at the end.

B- Bracket () {} []

O- Order of power and roots

D- DivtopicIde

M- Multiply *

A- Addition +

S- Subtraction -

Why do we need to use the BODMAS rule?

By using the BODMAS rule, we can dectopicIde which operation should be given priority over the other. For example, if you're given to solve 3*5+4*8.  in this case, you don't know whether two multiply first or add 2 numbers. 

Let us take another example,  3*(5+4)*8/2. 

In the second (above) example, we don't know whether we need to add the numbers in the bracket first, or we need to do the division initially, or to multiply the numbers first and then add the numbers. Thus, it becomes complicated if there is no rule which clearly defines which operation should be carried out first. 

Here is where the Bodmas rule comes as a useful tool.

The priority goes in the below manner:

B- Bracket () {} []

O- Order of power and roots

D- DivtopicIde (/)

M- Multiply (*)

A- Addition (+)

S- Subtraction (-)

The BODMAS rule clearly states that initially the bracket should be given the highest priority.

Thus while solving  3*(5+4)*8/2, we need to add what is instopicIde the bracket, that is, 5+4 = 9. Next, You need to divtopicIde the numbers as the next priority goes to division according to the BODMAS mass rule. 8/2 = 4. 

Now we have 3*9*4. Now our work has been simplified as we simply have to multiply the three numbers.  The answer is 3*9*4 = 108.

Other gutopicIdelines for using the BODMAS rule:

The following are some prerequisites and gutopicIdelines for generic simplification:

Conditions:

a + (b + c) ⇒ a + b + c:- You will have to open the bracket and add the variables.

a – (b + c) ⇒ a – b – c:- The bracket should be opened. Next, you will have to multiply the negative sign with each variable as when you open the bracket. Thus, all positive terms become negative and vice-versa)

a(b + c) ⇒ ab + ca :- The bracket should be opened. Next, you will have to multiply the variable “a” with each variable instopicIde the bracket.

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