PEMDAS RULE WORKSHEET

Evaluate each of the following numerical expressions using PEMDAS Rule.

1. 6 + 7 x 8

2. 102 - 16 ÷ 8

3. (25 + 11) x 2

4. 3 + 6 x (5 + 4) ÷ 3 -7

5. 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

6. 6 + [(16 - 4) ÷ (22 + 2)] - 2

7. (96 ÷ 12) + 14 x (12 + 8) ÷ 2

8. (93 + 15) ÷ (3 x 4) - 24 + 8

9. 55 ÷ 11 + (18 - 6) x 9

10. (7 + 18) x 3 ÷ (2 + 13) - 28

1. Answer :

Evaluation

= 6 + 7 x 8

= 6 + 56

= 62

Operation

Multiply

Add

Result

2. Answer :

Evaluation

102 - 16 ÷ 8

= 100 - 16 ÷ 8

= 100 - 2

= 98

Operation

Exponent

Divide

Subtract

Result

3. Answer :

Evaluation

(25 + 11) x 2

= 36 x 2

= 72

Operation

Parentheses

Multiply

Result

4. Answer :

Evaluation

= 3 + 6 x (5 + 4) ÷ 3 -7

= 3 + 6 x 9 ÷ 3 -7

= 3 + 54 ÷ 3 -7

3 + 18 -7

= 21 - 7

= 14

Operation

Parentheses

Multiply

Divide

Add

Subtract

Result

5. Answer :

Evaluation

= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

= 56 - 2(20 + 3 x 3 - 2 x 2) + 10

= 56 - 2(20 + 9 - 4) + 10

= 56 - 2(29 - 4) + 10

= 56 - 2(25) + 10

= 56 - 50 + 10

= 6 + 10

= 16

Operation

Parentheses

Divide

Multiply

Add

Subtract

Multiply

Subtract

Add

Result

6. Answer :

Evaluation

= 6 + [(16 - 4) ÷ (2+ 2)] - 2

= 6 + [12 ÷ (2+ 2)] - 2

= 6 + [12 ÷ (4 + 2)] - 2

= 6 + [12 ÷ 6] - 2

= 6 + 2 - 2

= 8 - 2

= 6

Operation

Square Bracket

Exponent

Parentheses

Square Bracket

Add

Subtract

Result

7. Answer :

Evaluation

= (96 ÷ 12) + 14 x (12 + 8) ÷ 2

= 8 + 14 x 20 ÷ 2

= 8 + 280 ÷ 2

= 8 + 140

= 148

Operation

Parentheses

Multiply

Divide

Add

Result

8. Answer :

Evaluation

= (93 + 15) ÷ (3 x 4) - 24 + 8

= 108 ÷ 12 - 24 + 8

9 - 24 + 8

= -15 + 8

= -7

Operation

Parentheses

Divide

Subtract

Subtract

Result

9. Answer :

Evaluation

= 55 ÷ 11 + (18 - 6)  x 9

= 55 ÷ 11 + 12 x 9

= 5 + 12 x 9

= 5 + 108

= 113

Operation

Parentheses

Divide

Multiply

Add

Result

10. Answer :

Evaluation

= (7 + 18) x 3 ÷ (2 + 13) - 28

= 25 x 3 ÷ 15 - 28

= 75 ÷ 15 - 28

= 5 - 28

= -23

Operation

Parentheses

Multiply

Divide

Subtract

Result

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