ORDER OF OPERATIONS USING PEMDAS WORKSHEET

PEMDAS rule can be used to simplify complicated  numerical expressions with more than operations.

Very simply way to remember PEMDAS rule!

----> Parentheses

E ----> Exponent

M ----> Multiplication

D ----> Division

----> Subtraction

Problem 1 :

a)  (5 - 2)- 6

b)  3 × 4 + 52

c)  4 × 3- (3 + 2)2

d)  3 - 22 ÷ 2 + 1

e)  (5 - 2)- 22

f)  (15 - 32) ÷ 3

g)  5 × 2+ 2 × 32

h)  5 × (22 + 2) + 6

i)  35 - 3 × 2+ 7

Solution :

a)

 = (5 - 2)2 - 6= 32 - 6= 9 - 6= 3 ParenthesesExponentSubtraction

b)

 = 3 × 4 + 52= 12 + 25= 37 ExponentAddition

c)

 = 4 × 32 - (3 + 2)2= 4 × 32 - 52= 4 × 9 - 25= 36 - 25= 11 ParenthesesExponentMultiplicationSubtraction

d)

 = 3 - 22 ÷ 2 + 1= 3 - 4 ÷ 2 + 1= 3 - 2 + 1= 3 - 1= 2 ExponentDivisionAdditionSubtraction

e)

 = (5 - 2)2 - 22= 32 -  22= 9 - 4= 5 ParenthesesExponentSubtraction

f)

 = (15 - 32) ÷ 3= 15 - 9 ÷ 3 = 15 - 3= 12 Parentheses, ExponentDivisionSubtraction

g)

 = 5 × 22 + 2 × 32= 5 × 4 + 2 × 9= 20 + 18= 38 ExponentMultiplicationAddition

h)

 = 5 × (22 + 2) + 6= 5 × 6 + 6= 30 + 6= 36 Parentheses, ExponentMultiplicationAddition

i)

 = 35 - 3 × 23 + 7=35 - 3 × 8 + 7=35 - 24 + 7= 35 - 17 = 18 ExponentMultiplicationAdditionSubtraction

Problem 2 :

Replace * with either +, -, ×, ÷ or ÷ to make a true statement :

a)  (18 * 2) ÷ 10 = 2

b)  (10 * 3) * 7 = 1

c)  15 * 3 + 2 * 5 = 15

Solution :

a)

(18 * 2) ÷ 10 = 2

By replacing * as +, we get

(18 + 2) ÷ 10 = 2

20 ÷ 10 = 2

2 = 2 (true)

b)

(10 * 3) * 7 = 1

By replacing * as -, we get

(10 - 3) * 7 = 1

* 7 = 1

By replacing * as ÷, we get

÷ 7 = 1

1 = 1 (true)

c)

15 * 3 + 2 * 5 = 15

By replacing * as ÷, we get

15 ÷ 3 + 2 * 5 = 15

5 + 2 * 5 = 15

By replacing * as ×, we get

5 + × 5 = 15

5 + 10 = 15

15 = 15 (true)

Problem 3 :

Insert brackets into the following to make them true :

a)  8 + 4 ÷ 2 + 2 = 3

b)  5 + 3 × 6 - 10 = 38

c)  13 + 5 ÷ 5 + 4 = 2

Solution :

a)

8 + 4 ÷ 2 + 2 = 3

(8 + 4) ÷ (2 + 2) = 3

12 ÷ 4 = 3

3 = 3 (true)

b)

5 + 3 × 6 - 10 = 38

(5 + 3) × 6 - 10 = 38

8 × 6 - 10 = 38

48 - 10 = 38

38 = 38 (true)

c)

13 + 5 ÷ 5 + 4 = 2

(13 + 5) ÷ (5 + 4) = 2

18 ÷ 9 = 2

2 = 2 (true) Apart from the stuff given above if you need any other stuff in math, please use our google custom search here.

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