The document discusses the rules for dividing integers. It states that when two numbers with the same sign are divided, the quotient is positive, and when the numbers have different signs, the quotient is negative. It also notes that dividing zero by a non-zero number equals zero, and dividing any number by zero is undefined. The document provides examples of dividing integers with step-by-step workings and checks the sign of the answer according to the rules.

3. 1. perform division on integers
2. be observant of the signs when dividing
integers

5. follows the same
algorithm when
the only difference is when you’re
dealing with .

6. Rules in Dividing Integers
1. When two numbers with the are divided, the
quotient is always .
(+)
(+)
= (+)
(−)
(−)
= (+)
2. When two numbers with are divided, the
quotient is always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for
division by zero still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

7. 15 ÷ 3

8. 15
3

9. 15
33
3 15

11. 15
3
Example 1:
= 5 + + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

12. 9
3
Example 2:
= 3 + + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

13. −27
3
Example 3:
= −9
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

14. 36
−6
Example 4:
= −6
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

15. −50
−10
Example 5:
= 5
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

16. 21
−7
Example 6:
= −3
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

17. −28
4
Example 7:
= −7
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

18. −18
−3
Example 8:
= 6
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

19. 100
−25
Example 9:
= −4
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

20. 0
−5
Example 10:
= 0
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

21. −27
0
Example 11:
= 𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
+ + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by zero
still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined

22. Got
questions?

24. Divide the following integers.
1.
7
7
2.
48
−6
3.
−8
−2
4.
−27
0
5.
−1
1
6.
14
−2
7.
−42
−7
8.
81
9
9.
−21
3
10.
0
90
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by
zero still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined
1.Divide
2. Check the sign.

25. ANSWE
RS!

26. Divide the following integers.
1.
7
7
2.
48
−6
3.
−8
−2
4.
−27
0
5.
−1
1
6.
14
−2
7.
−42
−7
8.
81
9
9.
−21
3
10.
0
90
= 1
= −8
= 4
= undefined
= −1
= −7
= 6
= 9
= −7
= 0
Rules in Dividing Integers
1. When two numbers with the are divided, the quotient is
always .
(+)
(+)
= (+)
(−)
(−)
= +
2. 2. When two numbers with are divided, the quotient is
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by
zero still hold.
(0)
(𝑛𝑜𝑛𝑧𝑒𝑟𝑜 𝑛𝑢𝑚𝑏𝑒𝑟)
= (0)
(𝑎𝑛𝑦 𝑛𝑢𝑚𝑏𝑒𝑟)
(0)
= undefined
1.Divide
2. Check the sign.

27. Got
questions?

28. E-Math 8
Practice and Application
Test I
Page 48