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Divide Rational Numbers.
ObjectiveThe student will be able to:
Dividing Rules
1) If the numbers have the same signs then the quotient is positive.
-32 ÷ (-8 )= 4
2) If the numbers have different signs then the quotient is negative.
81 ÷ (-9) = -9
When dividing two negative numbers, the quotient is positive.
1. True
2. False
Answer NowAnswer Now
When dividing a negative number and a positive number, use the sign of the
larger number.1. True
2. False
Answer NowAnswer Now
The reciprocal of is
where a and b 0.
a
b
b
a
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.
2
7The reciprocal of is
2
7
7
2 1
11
Example #2
The reciprocal of -3 is
1
3.
1
11
3
1
1
3
Basically, you are flipping the fraction!
We will use the multiplicative inverses
for dividing fractions.
Which statement is false about reciprocals?
1. Reciprocals are also called additive inverses
2. A number and its reciprocal have same signs
3. If you flip a number, you get the reciprocal
4. The product of a number and its reciprocal is 1
Answer NowAnswer Now
When dividing fractions, change division to multiplying by the reciprocal.
Examples
1) 3
4
5
8
3
4
8
5
6
5
24
20
2) 1
5
3
10
1
5
10
3
10
15
2
3
What is the quotient of-21 ÷ -3?
1. 18
2. -18
3. 7
4. -7
Answer NowAnswer Now
1 10
?5 3
Answer NowAnswer Now
2
3
2
33
503
50
1. .
2. .
3. .
4. .
