Lesson 1.8 dividing integers

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

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

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

15
3
Example 1:
= 5 + + = +
− − = +
+ − = −
− + = −1. Divide 2. Check the sign.
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)
= (0)
(0)
= undefined

9
3
Example 2:
= 3 + + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

−27
3
Example 3:
= −9
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

36
−6
Example 4:
= −6
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

−50
−10
Example 5:
= 5
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

21
−7
Example 6:
= −3
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

−28
4
Example 7:
= −7
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

−18
−3
Example 8:
= 6
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

100
−25
Example 9:
= −4
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

0
−5
Example 10:
= 0
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

−27
0
Example 11:
= 𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
+ + = +
− − = +
+ − = −
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
still hold.
(0)
= (0)
(0)
= undefined

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
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by
zero still hold.
(0)
= (0)
(0)
= undefined
1.Divide
2. Check the sign.

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
always .
(+)
(+)
= (+)
(−)
(−)
= +
always .
(+)
(−)
= (−)
(−)
(+)
= (−)
3. The rules for dividing zero by a nonzero number and for division by
zero still hold.
(0)
= (0)
(0)
= undefined
1.Divide
2. Check the sign.

E-Math 8
Practice and Application
Test I
Page 48

Lesson 1.8 dividing integers

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