PEMDAS

In Mathematics, we do operations like addition, subtraction, multiplication and division. These operations are performed by a certain rule or say there is an order of operation. PEMDAS is one of the rules which is exactly equal to BODMAS rule. The full form of PEMDAS is Parentheses, Exponents, Multiplication or Division (whichever comes first from left to right), Addition or subtraction(whichever comes first from left to right) whereas the full form of BODMAS in Brackets Order Division Multiplication Addition and Subtraction.

PEMDAS term is used mainly in the US but in India and the UK we call it as BODMAS. But there is no difference between them. The order of operations for brackets, orders, addition, subtraction, multiplication and division is the same for both the rule. The PEMDAS rule can be remembered using the acronym “Please excuse my dear aunt sally”.

PEMDAS formula is nothing but the order of calculations by means of which we calculate difficult equations step by step. Let us discuss it with some examples.

PEMDAS Rule

PEMDAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on multiplication & division and at last addition and subtraction. Let us discuss in brief.

PEMDAS Order of Operations

  1. Solve the calculation or equation which are present in the parentheses or brackets like small brackets( ), curly brackets{ } or big brackets[ ]. Priority is given to brackets first.
  2. Exponential expressions should be calculated first before the operations of multiplication, division, addition and subtraction. Usually, they are expressed in power or roots, like 22 or \(\sqrt{4}\)
  3. Then perform multiplication or division from left to right, whichever comes first in the equation.
  4. At last, perform addition or subtraction whichever comes first while moving left to right.

Let us solve some example questions, to understand the concept step by step;

Example: Solve (3 + 4) x 5

Solution: PEMDAS rule says, to solve the calculation in the parentheses first.

Therefore, (3 + 4) x 5 = 7 x 5 = 35

Suppose the brackets are present in the given equation, then, Multiplication comes first w.r.t addition in PEMDAS rule.

Therefore, 3 + 4 x 5 = 3 + 20 = 23

Example: Solve 5 + 22 x 4

Solution: After parentheses, exponents should be solved first, according to PEMDAS rule.

Therefore, 5 + 22 x 4 = 5 + 4 x 4 = 5 + 16 = 21

Example: Solve 25 ÷ 5 x 2 + 5 – 7

Solution: First division on the number will be operated;

25 ÷ 5 x 2 + 5 – 7 = 5 x 2 + 5 – 7

Then comes multiplication in order;

5 x 2 + 5 – 7 = 10 + 5 – 7

Last comes addition and subtraction.

10 + 5 – 7 = 15 – 7 = 8

Difference between PEMDAS and BODMAS

There is only abbreviations difference between them.

P – Parentheses First

B – Brackets First

E – Exponents

O – Orders

M – Multiplication

D – Division

D – Division

M – Multiplication

A – Addition

A – Addition

S – Subtraction

S – Subtraction

In Canada, this order of operation is also mentioned as BEDMAS(Brackets, exponents, division, multiplication, addition and subtraction). Though the order of operation has given different names in different countries, the meaning for all is the same.

Also, learn more Maths topics and download BYJU’S – The learning app for interactive videos.

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