Learn the order of operations from Cuemath

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Shashank Jain, a young and energetic entrepreneur has always been fond of technology. His liking for technology made him go for engineering in computers. During his studies, he learned & worked on different computer languages & OS including HBCD, Linux, etc.

The concepts related to mathematics are many but it starts from number systems, followed by important concepts like addition, subtraction, multiplication, and division. If any of the students have a problem with these concepts, it will be very difficult for them to cope with the other concepts of maths. In mathematics, there is a certain set of rules that needs to be performed in a certain manner. Even there is the order of operations in mathematics by which the arithmetic expressions in maths can be solved.

There are two types of order of operations followed in today’s time i.e. PEMDAS and BODMAS. Earlier BODMAS was the only one used but with the up-gradation in the arithmetic expressions, even PEMDAS became an important concept. These concepts will be used to get the most appropriate solution for the expression.


Both of these are the order of operations in mathematics. Their name will state the operation that needs to be performed first.

According to the Order of operations PEMDAS

P stands for Parentheses (), {}, and []

E stands for exponents like if the number is having any power to it. For example, a3

M stands for Multiplication (×)

D stands for Division (÷)

A stands for Addition (+)

S stands for Subtraction (-)

PEMDAS rules state that parentheses need to be first calculated in the arithmetic expression, followed by the exponents, multiplication, division, additions, and subtraction. In some of the countries like Canada, they have another similar order of operation i.e. BEDMAS which is Brackets, Exponents, Division, Multiplication, Additions, and Subtraction.

For example Solve 58 ÷ (5×4) + 32

As per the PEMDAS, the rule states that parentheses need to be solved first.

= 58 ÷ 20 + 32

Now the exponents will be solved

= 58 ÷ 20 + 9

The next step will be to solve the division

= 2.9 + 9

And the last step to get a final answer is the addition

= 11.9

According to the order of operations BODMAS

B stands for Brackets (), {}, and []

O stands for Order

D stands for Division (÷)

M stands for Multiplication (×)

A stands for Addition (+)

S stands for subtraction (-)

According to the BODMAS order of operation, first, the person needs to solve the brackets, followed by order, division, multiplication, addition, and subtraction.

For example, Solve 1800 ÷ [10{(12 – 6) + (24 – 12)}]

According to the order of Operation of BODMAS, brackets will be solved first starting from (), {} and then [].

= 1800 ÷ [10{(6 + 12}]

= 1800 ÷ [10{18}]

= 1800 ÷ 180

To get the appropriate answer, the last step of division needs to be performed.

So the final answer is 10

Many of the students still get confused regarding the order of operations in the arithmetic expressions. The students need to keep the full form of PEMDAS and BODMAS very clear in their heads. This is one of the best ways to solve all the expressions and get the desired answers. 

Even the use of the order of operations is there in real-life activities. If the concept related to such things is clear, it will become easier for the student to solve the problems.

For better explanations, you can easily visit the Cuemath website where you will find different concepts related to mathematics explained very well. The experts over there are making every possible effort to make the concepts very easy to understand and that can be in the mind for a very long time. Here you can book the slot for your child now.

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