PEMDAS RULE

PEMDAS Rule :

In this section, we are going to learn PEMDAS rule. 

This rule can be used to simplify or evaluate complicated numerical expressions with more than one binary operation easily.

Very simply way to remember  PEMDAS rule :

       P -----> Parenthesis

       E -----> Exponents 

       M -----> Multiplication

       D -----> Division

       A -----> Addition

       S -----> Subtraction

Important notes :

1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.

2. Multiplication does not always come before division. We have to do one by one in the order from left to right. 

3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.

Examples : 

16 ÷ 4 x 3  =  4 x 3  =  12

18 - 3 + 6   =  15 + 6  =  21 

In the above simplification, we have both division and multiplication. From left to right, we have division first and multiplication next.

So we do division first and multiplication next.

To have better understanding on PEMDAS rule, let us look at some practice problems. 

PEMDAS Rule - Practice Problems

Problem 1 :

Evaluate :

6 + 7 x 8

Solution :

Problem 2 :

Evaluate :

(25 + 11) x 2

Solution :

Problem 3 :

Evaluate :

10² - 16 ÷ 8

Solution :

Problem 4 :

Evaluate :

3 + 6 x (5 + 4) ÷ 3 -7

Solution :

Problem 5 :

Evaluate :

36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Solution :

Problem 6 :

Evaluate :

6 + [(16 - 4) ÷ (2² + 2)] - 2

Solution :

Problem 7 :

Evaluate :

(96 ÷ 12) + 14 x (12 + 8) ÷ 2

Solution :

Problem 8 :

Evaluate :

(93 + 15) ÷ (3 x 4) - 24 + 8

Solution :

Problem 9 :

Evaluate :

55 ÷ 11 + (18 - 6) x 9

Solution :

Problem 10 :

Evaluate :

(7 + 18) x 3 ÷ (2 + 13) - 28

Solution :

After having gone through the stuff above, we hope that the students would have understood how to do different mathematical operations in the same expression. 

Apart from the stuff given in this section,  if you need any other stuff in math, please use our google custom search here. 

You can also visit our following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

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Profit and loss shortcuts

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Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6