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# Divide Rational Numbers

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```Objective
The student will be able to:
divide rational numbers.
SOL: none
Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School
Dividing Rules
1) If the numbers have the same
signs then the quotient is positive.
-32 Г· (-8 )= 4
2) If the numbers have different
signs then the quotient is negative.
81 Г· (-9) = -9
When dividing two negative
numbers, the quotient is positive.
1. True
2. False
When dividing a negative number and
a positive number, use the sign of the
larger number.
1. True
2. False
a
b
The reciprocal of
is
b
a
where a and b п‚№ 0.
The reciprocal of a number is called its
multiplicative inverse.
A number multiplied by its
reciprocal/multiplicative inverse is
ALWAYS equal to 1.
Example #1
7
2
The reciprocal of
is
.
7
2
2 7 1
п‚· пЂЅ
пЂЅ1
7 2 1
Example #2
пЂ­
1
The reciprocal of -3 is пЂ­ .
3
1
3
1
1
п‚·пЂ­
3
пЂЅ
1
пЂЅ1
Basically, you are flipping the fraction!
We will use the multiplicative inverses
for dividing fractions.
reciprocals?
1.
2.
3.
4.
Reciprocals are also called
A number and its reciprocal
have same signs
If you flip a number, you get
the reciprocal
The product of a number and
its reciprocal is 1
Examples
1) пЂ­ 3 п‚ё 5
4
8
When dividing fractions, change
division to multiplying by the reciprocal.
3
8
24
пЂ­
п‚·
пЂЅпЂ­
20
4
5
6
пЂЅпЂ­
5
3 пѓ¶пЂ 2) пЂ­ 1 п‚ё пѓ¦пЂ пѓ§пЂ пЂ­ пѓ·пЂ 5
пѓЁпЂ 10 пѓёпЂ 1 пѓ¦пЂ 10 пѓ¶пЂ пЂ­ п‚· пѓ§пЂ пЂ­
пѓ·пЂ 5 пѓЁпЂ 3 пѓёпЂ 10
пЂЅ
15
2
пЂЅ
3
1.
2.
3.
4.
18
-18
7
-7
What is the quotient of
-21 Г· -3?
1.
2.
3.
4.
пЂ­2
3
2
3
3
50
пЂ­3
50
1 пЂ­10
п‚ё
пЂЅ?
5 3
.
.
.
.