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 -----> Parentheses

            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 first example above, 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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