What is BODMAS Rule...?
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Explanation
Before starting BODMAS let us read order of operating system"
Order of Operation
• 12 + 5 x 2 =?
An example of this is 12 + 5 x 2, if we solve it from left to right as first adding 12 and 5 then multiplying by 2 we get its answer 34.
12 + 5 x 2 = 17 x 2 = 34
But if we solve it from right to left as first multiply 5 and 2 then add 12 we get 22.
12 + 5 x 2 = 12 + 10 = 22
a same question gets two different answers and which answer is correct? BODMAS can solve this problem. BODMAS tell us multiplication should solve before addition, therefore it should be solved by multiplying 5 and 2, and then adding 12 we get 22.
BODMAS Rule
An easy and simple way to remember BODMAS rule for younger students it is a good idea to follow the following order of operation.
B for Brackets first (parentheses)
O for Order (Powers and Square Roots, Cube Roots, etc)
D for Divide
M for Multiplication
A for Addition and
S for Subtraction
BODMAS EXPLANATION STEP BY STEP
1-Brackets
• 4 × (3 + 2) = ?
First solve the brackets (), {}, []. For example
= 4 × 5
= 20
If you ignored the brackets and did the sum 4 × 3 + 2 you would get 14 which will be wrong. You should notice how the brackets make a difference to the answer.
2-Orders
2
• 5 + 3 = ?
After solve brackets then you need to solve Order/Power (Exponent, Square Root, Cub Root etc).
= 5 + 9 (Solve power first 3^2 = 3 × 3 = 9)
= 14
3-Division
• 4 × 4 ÷ 2 =?
After solve brackets or powers the next step is division.
= 4 × 4 ÷ 2
= 4 × 2
= 8
4-Multiplication
The next step is multiplication.
In the above example notice that we have solve division before multiplication.
5-Addition
• 4 + 6 - 7
= 4 + 6 - 7
= 10 - 7
= 3
6-Subtraction
The next step is subtraction in the above example notice that we have solved addition before subtraction.
2
Example • 7 + 7 ÷ (3 + 4) × 1 - 7
(In following 7^2 mean 7 raise to power 2)
= 7^2 + 7 ÷ (3 + 4) × 1 - 7 (First solve the Brackets 3 + 4 = 7)
= 7^2 + 7 ÷ 7 × 1 - 7 (then solve the Order 7^2 = 7 × 7 = 49 )
= 49 + 7 ÷ 7 × 1 - 7 (then solve Division 7 ÷ 7 = 1)
= 49 + 1 × 1 - 7 (then solve Multiplication 1 × 1 = 1)
= 49 + 1 - 7 (then solve Addition 49 + 1 = 50)
= 50 - 7 (then solve Subtraction 50 - 7 = 43)
= 43
Above is a good example of BODMAS because here we solve all operation of BODMAS (Brackets, Order, Division, Multiplication, Addition and Subtraction)
Why we used BODMAS?
BODMAS rule defines the correct sequence in which operations are to be performed in a given mathematical expression to find its value. When two or more operations given in a single expression, the BODMAS tell us what to calculate first, second, third and so on, until the calculation is complete
BODMAS use in UK, Europe, West Africa, Nigeria, India, Pakistan BIDMAS, is use in Australia, PEDMAS use in AMERICA, DMAS is short form of Division, Multiplication, Addition and Subtraction.
Experienced students should study others orders of operation PEDMAS (use in USA), BIDMAS (use in Nigeria and West Africa), BEDMAS (use in Canada and New Zealand).
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ORDER OF OPERATION ([{(-)}], ()^2 √ , ÷, ×, +, -)
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How MATHEMATICIANS explain answer of 6/2(2+1)=? (1 or 9)
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What is the denominator in 6/2(2+1)=? (2, (2+1), 2(2+1), Any other)
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What is difference between BODMAS, BEDMAS, BIDMAS, PEDMAS and PEMDAS?
Who invented the BODMAS? When BODMAS was introduced?
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BODMAS Short Questions
BODMAS Questions