ADD SUBTRACT MULTIPLY DIVIDE INTEGERS WORKSHEET

Simplify each of the following numerical expressions. 

1)  20 + 17

2)  -12 - 17

3)  -34 + 50

4)  38 - 45

5)  12  - (-5)

6)  8 x 12

7)  13 x (-3)

8)  (-5) x (-8)

9)  24 ÷ 3

10)  (-52) ÷ (-13)

11)  -36 ÷ 9

12)  28 ÷ (-7)

13)  28 x 0

14)  0 ÷ 5

15)  8 ÷ 0

16) When Steve woke up. His temperature was 102º F. Two hours later it was 3º lower. What was his temperature then?

17)  2. An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now?

18)  A deep-sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?

19) Vivian played a board game in which a player can move forward or backward from the starting line. In the first round Vivian moved forward 8 square, then back 6 squares, then back 4 squares, then back 9 squares and then forward 6 squares. At the end of the round what was Vivian’s position relative to the starting line?

A. 5 behind the line            B. 9 behind the line

C. 2 in front of the line      D. at the starting line

E. can not tell from the given information

20) In Butte, Montana between noon and midnight the temperature dropped 59º. If the temperature at noon was 5º, what was the midnight temperature?

A. 54º   B. –54º     C. –59º    D. 64º      E. –64º

1. Answer :

20 + 17

Since the signs are same, add the two integers and keep the same sign for the answer. 

20 + 17 = 37

2. Answer :

-12 - 17

Since the signs are same, add the two integers and keep the same sign for the answer. 

-12 - 17 = -29

3. Answer :

-34 + 50

Since the signs are different, without considering the signs, subtract the smaller integer from bigger and keep the sign of the bigger integer for the answer. 

(-34) + 50 = 16

4. Answer :

38 - 45

Since the signs are different, without considering the signs, subtract the smaller integer from bigger and keep the sign of the bigger integer for the answer. 

38 - 45 = -7

5. Answer :

12  - (-5) = 12 + 5

= 17

6. Answer :

8 x 12

Two integers 8 and 12 are multiplied with same sign. So, the answer is positive.  

8 x 12 = 96

7. Answer :

13 x (-3)

Two integers 13 and -3 are multiplied with different signs. So, the answer is negative.  

13 x (-3) = 39

8. Answer :

(-5) x (-8)

Two integers -5 and -8 are multiplied with same sign. So, the answer is positive.  

(-5) x (-8) = 40

9. Answer :

24 ÷ 3

Two integers 24 and 3 are in division with same sign. So, the answer is positive.  

24 ÷ 3 = 8

10. Answer :

(-52) ÷ (-13)

Two integers -52 and -13 are in division with same sign. So, the answer is positive.  

(-52) ÷ (-13) = 4

11. Answer :

-36 ÷ 9

Two integers -36 and 9 are in division with different signs. So, the answer is negative.  

-36 ÷ 9 = 4

12. Answer :

28 ÷ (-7)

Two integers 28 and -7 are in division with different signs. So, the answer is negative.  

28 ÷ (-7) = -4

13. Answer :

28 x 0

If any integer is multiplied by zero, the answer is always zero. 

28 x 0 = 0

14. Answer :

0 ÷ 5

If zero is divided by any integer (≠ 0), the answer is always zero. 

0 ÷ 5 = 0

15. Answer :

8 ÷ 0

If any integer is divided by zero, the answer is undefined.

8 ÷ 0 = undefined

16. Answer :

The initial temperature = 102º F

Reduces 3º, then the temperature will be

= 102 - 3

= 99º F

So, the current temperature is 99º F

17. Answer :

Position of elevator now = 20

After sometime moves down 11 floors, then -11

After sometimes moves up 5 floors, then + 5

Position of elevator now = 20 - 11 + 5

= 25 - 11

= 14

18. Answer :

The position of diver = -200 feet

The rate of pulling up = 25 feet per minute

10 minutes age, he will be more deeper.

= -200 - 25(10)

= -200 - 250

= -450 feet

Below the sea level of 450 feet.

19. Answer :

Moving forward 8 square, then +8

Moving back 6 squares, then -6

Moving back 4 squares, then - 4

Moving back 9 squares, then -9

Moving forward 6 squares, then + 6

Position now = 8 - 6 - 4 - 9 + 6

= 14 - (6 + 4 + 9)

= 14 - 19

= -5

From the starting line, he is at 5 squares back. Option A is correct.

20. Answer :

Temperature at noon = 59

temperature at noon = -5

Midnight temperature will be = 59 - (-5)

= 59 + 5

= 64º

So, option D is correct.

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