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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
Answer Now
When dividing a negative number and
a positive number, use the sign of the
larger number.
1. True
2. False
Answer Now
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.
Which statement is false about
reciprocals?
1.
2.
3.
4.
Reciprocals are also called
additive inverses
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
Answer Now
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?
Answer Now
1.
2.
3.
4.
пЂ­2
3
2
3
3
50
пЂ­3
50
1 пЂ­10
п‚ё
пЂЅ?
5 3
.
.
.
.
Answer Now
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