This document provides a review of integer operations including addition, subtraction, multiplication, and division. It gives the rules for determining the sign of the answer when combining integers with the same or different signs. Examples are worked out for adding, subtracting, multiplying, and dividing integers. The sign rules are that the product is positive if the signs are the same and negative if they are different, and the quotient is positive if the signs are the same and negative if they are different.

1. Name ______________________________ Date _____________________
Mrs. Labuski & Mrs. Rooney Per _____ Integers Review
Adding integers on a number line:
Move right on a number line to add a positive integer.
Move left on a number line to add a negative integer
 If the signs are the same, add the digits and keep the sign.
 If the signs are different: find the difference, take the sign of the larger digit.
Find each sum.
1. 4 +(-1) = _______ 4. 2 + (-1) = ______ 7. 0 + (-6) = ______
2. -5 + (-3) = ______ 5. -4 + (-1) = ______ 8. -7 + 3 = _______
3. -10 + 11= ______ 6. -6 + 8= _______ 9. -3 + (-2) = _
Subtracting integers on a number line:
Move left on a number line to subtract a positive integer.
Move right on a number line to subtract a negative integer.
________________, ________________, ________________
 If the signs are the same, add the digits and keep the sign.
 If the signs are different: find the difference, take the sign of the larger digit.
Find each difference.
10. -7 - (-2) = ______ 13. 5 - 6 = _______ 16. 4 - (-1) = _______
11. 6 - (-8) = _______ 14. -4 - (-6) = ______ 17. -9 - (-9) = ______
12. -2 - 7= _______ 15. -2 - 0= _______ 18. -4 - (-3)= _____

2. Rules:
If the signs are the same, the product is positive
If the signs are different, the product is negative
Find each product
19. 3 • (-4) = ______ 22. -8 • (-4) = ______ 25. 9 • (-3) = ______
20. -7 • 1 = _______ 23. -3 • (10) = _____ 26. -9 • (-4) = ______
21. 3 • (-2) = ______ 24. -7 • (-5) = ______ 27. 7 • 0= _______
Rules:
If the signs are the same, the quotient is positive
If the signs are different, the quotient is negative
Find each quotient.
28. -12 ÷ 2= _______ 31. -14 ÷ 7= _______ 34. -72 ÷ (-9) = ____
29. 18 ÷ 6 = _______ 32. -32 ÷ (-8) = ____ 35. -9 ÷ 3= _______
30. -30 ÷ 10= ______ 33. 66 ÷ (-11) = ____ 36. -100 ÷ (-10) = __

3. Name ______________________________ Date _____________________
Mrs. Labuski & Mrs. Rooney Per _____ Integers Review
Adding integers on a number line:
Move right on a number line to add a positive integer.
Move left on a number line to add a negative integer
 If the signs are the same, add the digits and keep the sign.
 If the signs are different: find the difference, take the sign of the larger digit.
Find each sum.
1. 4 +(-1) = __3____ 4. 2 + (-1) = __1___ 7. 0 + (-6) = _-6_
2. -5 + (-3) = __-8__ 5. -4 + (-1) = _-5__ 8. -7 + 3 = __-4____
3. -10 + 11= _1___ 6. -6 + 8= __2____ 9. -3 + (-2) = _-5
Subtracting integers on a number line:
Move left on a number line to subtract a positive integer.
Move right on a number line to subtract a negative integer.
_____keep ______, ____ change_____, _____ change_____
 If the signs are the same, add the digits and keep the sign.
 If the signs are different: find the difference, take the sign of the larger digit.
Find each difference.
10.-7 - (-2) = ______ 13.5 - 6 = _______ 16.4 - (-1) = _______
-7 +(+2) = -5__ 5 + (-6) = -1 4 + (+1) = 5
11.6 - (-8) = _______ 14.-4 - (-6) = ______ 17.-9 - (-9) = ______
6 + (+8) = 14 -4 + (+6) = 2 -9 + (+9) = 0
12.-2 - 7= _______ 15.-2 - 0= _______ 18.-4 - (-3)= _____
-2 + (-7)= -9 -2 + 0= -2 -4 + (+3)= -1

4. Rules:
If the signs are the same, the product is positive
If the signs are different, the product is negative
Find each product
19. 3 • (-4) = _-12___ 22. -8 • (-4) = _32__ 25. 9 • (-3) = _-27__
20. -7 • 1 = __-7____ 23. -3 • (10) = _-30__ 26. -9 • (-4) = _36_
21. 3 • (-2) = _-6____ 24. -7 • (-5) = _35___ 27. 7 • 0= __0___
Rules:
If the signs are the same, the quotient is positive
If the signs are different, the quotient is negative
Find each quotient.
28. -12 ÷ 2= __-6___ 31. -14 ÷ 7= __-2___ 34. -72 ÷ (-9) = _8_
29. 18 ÷ 6 = __3____ 32. -32 ÷ (-8) = _4__ 35. -9 ÷ 3= __-3___
30. -30 ÷ 10= _-3__ 33. 66 ÷ (-11) = _-6_ 36. -100 ÷ (-10) = 10