Posts
We have a popular Phrase about Mathematics is that "Mathematics is the mother of civilization and culture. " Therefore the Order of Operations ( BODMAS OR PEDMAS ) is a well-defined collection of rules / Instructions based on Observations about which standard operation/procedure to perform first in order to evaluate given mathematical expressions in mathematics so the solution is unique ( Not Different).
'BODMAS' is an acronym used in mathematics and in it 'B' stands for Bracket, 'O' stands for Of, 'D' stands for Division, 'M' represents Multiplication, 'A' Represents Addition, and
'S' represents Subtractions. The 'BODMAS' is used to explain or solve the order of operation of a mathematical expression.
'S' represents Subtractions. The 'BODMAS' is used to explain or solve the order of operation of a mathematical expression.
In some area (regions) of the world, the 'BODMAS' is also known as 'PEDMAS' which 'P' stands for stands for Parentheses, 'E' stands for Exponents, 'D' stands for Division, 'M' represents Multiplication, 'A' Represents Addition, and
'S' represents Subtractions.
Illustrations for Order of Operations ( BODMAS OR PEDMAS )
- For solving any problems, Do things in Brackets First, if more than one bracket is present than the following order may be followed, -, ( ), { }, [ ].
 | 2 × (4 + 5) | = | 2 × 9 | = | 18 | ||
 | 2 × (4 + 5) | = | 8 + 5 | = |
13
| (wrong) WHY ???? |
Since 2 is not multiplied by both terms in brackets so the second term is 5 written instead of 10 so the answer is wrong.
- Exponents(Powers, Roots) before Multiply, Divide, Add or Subtract
| 5 × 22 | = | 5 × 4 | = |
20
| ||
| 5 × 22 | = | 102 | = |
100
| (wrong) |
- Multiply or Divide before you Add or Subtract on solving
| 12 + 5 × 3 | = | 12 + 15 | = |
27
| ||
| 12 + 5 × 3 | = | 17 × 3 | = |
51
| (wrong) |
- Otherwise, just go left to right
| 45 ÷ 5 × 3 | = | 9 × 3 | = | 27 | ||
| 45 ÷ 5 × 3 | = | 45 ÷ 15 | = |
3
| (wrong) |
For example, Thus, the expression 2 + 3 × 4 is interpreted to have the value 2 + (3 × 4) = 14, not (2 + 3) × 4 = 20.
if more than one bracket is present than the following order may be followed,-, ( ), { }, [ ].
The technique for learning or Remember is such as, How Do I Remember It All ... ? BODMAS ! It's so simple......
B
| Brackets first |
O
| Orders (i.e. Powers and Square Roots, etc.) |
DM
| Division and Multiplication (left-to-right) |
AS
| Addition and Subtraction (left-to-right) |
How Do I Remember It All ... ? PEDMAS ! It's so simple.....
P
| Parenthesis first |
E
| Exponents(i.e. Powers and Square Roots, etc.) |
DM
| Division and Multiplication (left-to-right) |
AS
| Addition and Subtraction (left-to-right) |
-----------------------------------------------------------------------------------------------------------
