PEMDAS RULE

In this section, you will learn PEMDAS rule that 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. 

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 :

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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

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Word problems on direct variation and inverse variation 

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Word problems on sets and venn diagrams

Word problems on ages

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Word problems on constant speed

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Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

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