PEMDAS RULE WORKSHEET
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Question 1 :
Evaluate :
47 - 12 x 3
Question 2 :
Evaluate :
5 + (21 - 32) ÷ 4
Question 3 :
Evaluate :
11 x 7 - 30 ÷ 5
Question 4 :
Evaluate :
84 ÷ [(18 - 16) x 3]
Question 5 :
Evaluate :
3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12
Question 6 :
Evaluate :
(23 + 8) ÷ 8 x (96 ÷ 12)
Question 7 :
Evaluate :
(84 ÷ 14)2 + 2 x (12 - 8)
Question 8 :
Evaluate :
7 + [43 - 3(12 - 7)] ÷ 22
Question 9 :
Evaluate :
2(30 ÷ 6)2 ÷ 5 + 3(15 + 11) ÷ 13
Question 10 :
Evaluate :
0.5(20 + 23) ÷ 7 + 2 x 6 - 5
Question 11 :
Evaluate :
(54 ÷ 52) ÷ 52 x 52
Question 12 :
Evaluate :
ab2 - (a + c) ÷ a + (a + b)
if a = 4, b = 6 and c = 8.
Question 13 :
Evaluate the following expression for x = -1 and y = 2 :
x2 + 3y3
Question 14 :
Evaluate the following expression for x = 1 and y = 1.
(y3 + x) ÷ 2 + x
Question 15 :
Evaluate the following expression for y = 3 and z = 7.
z3 - (y ÷ 3 - 1)
Question 16 :
Evaluate :
Question 17 :
Evaluate :
Question 18 :
Evaluate :
Question 19 :
What is the value of
if a = -1/2, b = 3/2 and c = 5/2?
Question 20 :
What is the value of
if p = 4, q = 1/2 and r = 2?
Answers
1. Answer :
47 - 12 x 3
|
Operation Multiply Subtract Result |
Evaluation = 47 - 12 x 3 = 47 - 36 = 11 |
2. Answer :
5 + (21 - 32) ÷ 4
|
Operation Exponent2 Parentheses Divide Add Result |
Evaluation = 5 + (21 - 32) ÷ 4 = 5 + (21 - 9) ÷ 4 = 5 + 12 ÷ 4 = 5 + 3 = 8 |
3. Answer :
11 x 7 - 30 ÷ 5
|
Operation Multiply Divide Subtract Result |
Evaluation = 11 x 7 - 30 ÷ 5 = 77 - 30 ÷ 5 = 77 - 6 = 71 |
4. Answer :
84 ÷ [(18 - 16) x 3]
|
Operation Brackets Parentheses Brackets Divide Result |
Evaluation = 84 ÷ [(18 - 16) x 3] = 84 ÷ [(18 - 16) x 3] = 84 ÷ [2 x 3] = 84 ÷ 6 = 14 |
5. Answer :
3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12
|
Operation Parentheses Divide Multiply Add Parentheses Multiply Add Subtract Result |
Evaluation = 3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12 = 3 + 2(25 + 15 ÷ 3 x 7 - 3 x 8) - 12 = 3 + 2(25 + 5 x 7 - 3 x 8) - 12 = 3 + 2(25 + 35 - 24) - 12 = 3 + 2(60 - 24) - 12 = 3 + 2(36) - 12 = 3 + 72 - 12 = 75 - 12 = 63 |
6. Answer :
(23 + 8) ÷ 8 x (96 ÷ 12)
|
Operation Parentheses Exponent Parentheses Divide Multiply Result |
Evaluation = (23 + 8) ÷ 8 x (96 ÷ 12) = (23 + 8) ÷ 8 x 8 = (8 + 8) ÷ 8 x 8 = 16 ÷ 8 x 8 = 2 x 8 = 16 |
7. Answer :
(84 ÷ 14)2 + 2 x (12 - 8)
|
Operation Parentheses Exponent Multiply Add Result |
Evaluation = (84 ÷ 14)2 + 2 x (12 - 8) = 62 + 2 x 4 = 36 + 2 x 4 = 36 + 8 = 44 |
8. Answer :
7 + [43 - 3(12 - 7)] ÷ 22
|
Operation Brackets2 Parentheses2 Multiply2 Brackets Exponent2 Divide Add Result |
Evaluation = 7 + [43 - 3(12 - 7)] ÷ 22 = 7 + [43 - 3(12 - 7)] ÷ 22 = 7 + [43 - 3(5)] ÷ 22 = 7 + [43 - 15] ÷ 22 = 7 + 28 ÷ 22 = 7 + 28 ÷ 4 = 7 + 7 = 14 |
9. Answer :
2(30 ÷ 6)2 ÷ 5 + 3(15 + 11) ÷ 13
|
Operation Parentheses2 Exponent Multiply Divide Add Result |
Evaluation = 2(30 ÷ 6)2 ÷ 5 + 3(15 + 11) ÷ 13 = 2(5)2 ÷ 5 + 3(26) ÷ 13 = 2(25) ÷ 5 + 3(26) ÷ 13 = 50 ÷ 5 + 78 ÷ 13 = 10 + 6 = 16 |
10. Answer :
0.5(20 + 23) ÷ 7 + 2 x 6 - 5
|
Operation Parentheses2 Exponent2 Parentheses Multiply Divide Multiply Add Subtract Result |
Evaluation = 0.5(20 + 23) ÷ 7 + 2 x 6 - 5 = 0.5(20 + 23) ÷ 7 + 2 x 6 - 5 = 0.5(20 + 8) ÷ 7 + 2 x 6 - 5 = 0.5(28) ÷ 7 + 2 x 6 - 5 = 14 ÷ 7 + 2 x 6 - 5 = 2 + 2 x 6 - 5 = 2 + 12 - 5 = 14 - 5 = 9 |
11. Answer :
(54 ÷ 52) ÷ 52 x 52
|
Operation Parentheses2 Exponents2 Parentheses Exponent2 Exponent2 Multiply Multiply Result |
Evaluation = (54 ÷ 52) ÷ 52 x 52 = (54 ÷ 52) ÷ 52 x 52 = (625 ÷ 25) ÷ 52 x 52 = 25 ÷ 52 x 52 = 25 ÷ 25 x 52 = 25 ÷ 25 x 25 = 1 x 25 = 25 |
12. Answer :
ab2 - (a + c) ÷ a + (a + b)
Substitute a = 4, b = 6 and c = 8.
4(6)2 - (4 + 8) ÷ 4 + (4 + 6)
|
Operation Parentheses2 Exponent2 Multiply Divide Subtraction Add Result |
Evaluation = 4(6)2 - (4 + 8) ÷ 4 + (4 + 6) = 4(6)2 - 12 ÷ 4 + 10 = 4(36) - 12 ÷ 4 + 10 = 144 - 12 ÷ 4 + 10 = 144 - 3 + 10 = 141 + 10 = 151 |
13. Answer :
= x2 + 3y3
Substitute x = -1 and y = 2.
= (-1)2 + 3(2)2
Evaluation :
|
Exponent Multiplication Addition Result |
= (-1)2 + 3(2)2 = 1 + 3(4) = 1 + 12 = 13 |
14. Answer :
= (y3 + x) ÷ 2 + x
Substitute x = 1 and y = 1.
= (13 + 1) ÷ 2 + 1
Evaluation :
|
Parentheses 1Exponent Parentheses Division Addition Result |
= (13 + 1) ÷ 2 + 1 = (13 + 1) ÷ 2 + 1 = (1 + 1) ÷ 2 + 1 = 2 ÷ 2 + 1 = 1 + 1 = 2 |
15. Answer :
= z3 - (y ÷ 3 - 1)
Substitute y = 3 and z = 7.
= 73 - (3 ÷ 3 - 1)
Evaluation :
|
1Parentheses 1Division 1Subtraction 1Exponent Result |
= 73 - (3 ÷ 3 - 1) = 73 - (3 ÷ 3 - 1) = 73 - (1 - 1) = 73 - 0 = 243 |
16. Answer :
17. Answer :
18. Answer :
if a = -1/2, b = 3/2 and c = 5/2?
19. Answer :
if p = 4, q = 1/2 and r = 2?
20. Answer :
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