ORDER OF OPERATIONS USING PEMDAS
To evaluate expressions that involve more than one operation, we will use a set of rules called the order of operations.
PEMDAS is the rule that can be used to simplify or evaluate complicated numerical expressions with more than one operation.
Note :
In some expressions, if there is multiplication and division, we have to do the operations one by one in the order from left to right.
Problem 1 :
2 + 11 × 3
Solution :
|
= 2 + 11 × 3 = 2 + 33 = 35 |
Multiplication Addition |
Problem 2 :
15 ÷ 5 - 2
Solution :
|
= 15 ÷ 5 - 2 = 3 - 2 = 1 |
Division Subtraction |
Problem 3 :
54 ÷ 3 - 2 × 4
Solution :
|
= 54 ÷ 3 - 2 × 4 = 18 - 2 × 4 = 18 - 8 = 10 |
Division 1st (L to R) Multiplication Subtraction |
Problem 4 :
14 × 3 + 28 ÷ 7
Solution :
|
= 14 × 3 + 28 ÷ 7 = 42 + 28 ÷ 7 = 42 + 4 = 46 |
Multiplication Division Addition |
Problem 5 :
100 ÷ 5 × 3 - 46
Solution :
|
= 100 ÷ 5 × 3 - 46 = 20 × 3 - 46 = 60 - 46 = 14 |
Division 1st (L to R) Multiplication Subtraction |
Problem 6 :
40 × 6 ÷ (9 + 21)
Solution :
|
= 40 × 6 ÷ (9 + 21) = 40 × 6 ÷ 30 = 240 ÷ 30 = 8 |
Parenthesis ( ) Multiplication Division |
Problem 7 :
72 + 3
Solution :
|
= 72 + 3 = 49 + 3 = 52 |
Exponent Addition |
Problem 8 :
52 × 32
Solution :
|
= 52 × 32 = 25 × 9 = 225 |
Exponents Multiplication |
Problem 9 :
82 ÷ (9 - 5)
Solution :
|
= 82 ÷ (9 - 5) = 82 ÷ 4 = 64 ÷ 4 = 16 |
Parenthesis ( ) Exponent Division |
Problem 10 :
(17 - 6 ÷ 2) × (12 + 11)
Solution :
|
= (17 - 6 ÷ 2) × (12 + 11) = (17 - 3) × 23 = 14 × 23 = 322 |
Parenthesis ( ) Parenthesis ( ) Multiplication |
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