Order
of Operations – BODMAS/PEMDAS
Welcome friends! Today we are going
to learn about Order of Operation.
But,
the Question is ….
“What
is operation in Mathematics?”
Ans:
In Mathematics things like add, subtract, Multiply, Divide, Squaring, Square
roots, etc. are operations. If it isn’t a number or variable, it is probably an
operation in statements.
Another
Question is …..
What
is the Order of Operation?
Ans:
To get answer first we will see how to solve this in different ways….
But,
why only 3rd way is correct and rest two are wrong.
Because….
In
1st and 2nd way the accepted Order of Operation is not
followed.
A long-long year ago, people decided
to follow a unique order of operations so, the answer will never varies.
The order is as follows:
This
is all called as BODMAS!
B Bracket first
O Order (i.e. Power and square, square
roots)
DM Division and Multiplication (left to right)
AS Addition and Subtraction (left to right)
Note:
For orders, in Canada “Exponent” is used so, they use to call
BEDMAS. In US they say “Parenthesis” instead of Bracket, so it is “PEMDAS”.
Some
Examples:
1)
Solve (5 + 7) x 9
=12 x 9 ……. (Adding 5 + 7 = 12)
= 108 ……. (Multiply 12 x 9 = 108)
2)
Solve : 7 x 5 – 3 + 25
/ 5 x 7
= 7 x 5 – 3 + 5 x 7 …….
(Divide 25/5 = 5)
= 35 – 3 + 35 ……. (Multiply 7x5=35 & 5x7=35)
= 35 + 35 – 3 …….. (Rearranging)
= 70 – 3 …….. (Adding 35 +
35 = 70)
= 67 ……… (Subtracting
70-3=67)
3)
Solve: 12 x 3 + 4 – 12
= 36 + 4 – 12 ……. (Multiplying 12 x 3 = 36)
= 40 -12 ……. (Adding 36 + 4 = 40)
= 19 ……. (Subtracting 40-12=19)
Examples
for Practice
1)
7
x 5 / 7 +3 -2
2)
15
-10 + 4 + 2
3)
(16/4
x 4) + 8 – 2
4)
(12
– 3 + 2) x 3
5)
7
x ( 5 + 33)/ 2
Thank you! Hope you enjoyed it!
See you then bye….
You May Visit also:
Introduction to Algebra (Part I) Addition & Subtraction
Introduction to Algebra (Part II) Multiplication & Division
Transposing Method of Solving Algebra
Next Blog: Substitution
in Algebra.
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