DIVIDING POSITIVE AND NEGATIVE NUMBERS

To divide two number with same signs or different signs, we have to follow the rules given below.

If two numbers are having same signs, may be positive or negative. The answer should have positive sign.

If two numbers are having different signs, may be positive negative or negative positive. The answer should have negative sign.

 +  ÷ - = --  ÷ + = - +  ÷ + = +-  ÷ - = +

Problem 1 :

9 ÷ (-3)

Solution:

9 is positive and 3 is negative. Since the numbers have opposite signs, the quotient will be negative.

= 9 ÷ (-3)

= -3

Problem 2 :

21 ÷ (-7)

Solution:

21 is positive and 7 is negative. Since the numbers have opposite signs, the quotient will be negative.

= 21 ÷ (-7)

= -3

Problem 3 :

-44 ÷ 11

Solution:

44 is negative and 11 is positive. Since the numbers have opposite signs, the quotient will be negative.

= -44 ÷ 11

= -4

Problem 4 :

-72 ÷ 9

Solution:

72 is negative and 9 is positive. Since the numbers have opposite signs, the quotient will be negative.

=  -72 ÷ 9

= -8

Problem 5 :

-10 ÷ -5

Solution:

10 is negative and 5 is negative. Since the numbers have the same sign, the quotient will be positive.

= -10 ÷ (-5)

= 2

Problem 6 :

-28 ÷ (-4)

Solution:

10 is negative and 5 is negative. Since the numbers have the same sign, the quotient will be positive.

= -28 ÷ (-4)

= 7

Problem 7 :

-30 ÷ (-3)

Solution:

30 is negative and 3 is negative. Since the numbers have the same sign, the quotient will be positive.

= -30 ÷ (-3)

= 10

Problem 8 :

-48 ÷ (-8)

Solution:

48 is negative and 8 is negative. Since the numbers have the same sign, the quotient will be positive.

= -48 ÷ (-8)

= 6

Problem 9 :

-6 ÷ 6

Solution:

6 is negative and 6 is positive. Since the numbers have opposite signs, the quotient will be negative.

=  -6 ÷ 6

= -1

Problem 10 :

24 ÷ -3

Solution:

24 is positive and 3 is negative. Since the numbers have opposite signs, the quotient will be negative.

=  24 ÷ (-3)

= -8

Problem 11 :

-12 ÷ (-12)

Solution:

12 is negative and 12 is negative. Since the numbers have the same sign, the quotient will be positive.

= -12 ÷ (-12)

= 1

Problem 12 :

-132 ÷ 11

Solution:

132 is negative and 11 is positive. Since the numbers have opposite signs, the quotient will be negative.

=  -132 ÷ 11

= -12

Problem 13 :

72 ÷ (-8)

Solution:

72 is positive and 8 is negative. Since the numbers have opposite signs, the quotient will be negative.

=  72 ÷ (-8)

= -9

Problem 14 :

-108 ÷ -9

Solution:

108 is negative and 9 is negative. Since the numbers have the same sign, the quotient will be positive.

= -108 ÷ (-9)

= 12

Problem 15 :

36 ÷ -9

Solution:

36 is positive and 9 is negative. Since the numbers have opposite signs, the quotient will be negative.

=  36 ÷ (-9)

= -4

Problem 16 :

100 ÷ (-4)

Solution:

100 is positive and 4 is negative. Since the numbers have opposite signs, the quotient will be negative.

=  100 ÷ (-4)

= -25

Problem 17 :

-95 ÷ 5

Solution:

95 is negative and 5 is positive. Since the numbers have opposite signs, the quotient will be negative.

=  -95 ÷ 5

= -19

Problem 18 :

-49 ÷ (-7)

Solution:

49 is negative and 7 is negative. Since the numbers have the same sign, the quotient will be positive.

= -49 ÷ (-7)

= 7

Problem 19 :

144 ÷ 12

Solution:

144 is positive and 12 is positive. Since the numbers have the same sign, the quotient will be positive.

= 144 ÷ 12

= 12

Problem 20 :

-215 ÷ -5

Solution:

215 is negative and 5 is negative. Since the numbers have the same sign, the quotient will be positive.

= -215 ÷ (-5)

= 43

Problem 21 :

90 ÷ -15

Solution:

90 is positive and 15 is negative. Since the numbers have opposite signs, the quotient will be negative.

=  90 ÷ (-15)

= -6

Problem 22 :

-342 ÷ 9

Solution:

342 is negative and 9 is positive. Since the numbers have opposite signs, the quotient will be negative.

=  -342 ÷ 9

= -38

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