Decimal Divisors

1
Decimal Divisors

• Dividing by a Decimal

2
Every division problem can be translated into a
question.
3
Every division problem can be translated into a
question.
16 8 2
4
Every division problem can be translated into a
question.
16 8 2
How many eights can fit into 16?
5
Every division problem can be translated into a
question.
How many eights can fit into 16?
6
Every division problem can be translated into a
question.
Every division problem can be translated into a
question.
Every division problem can be translated into a
question.
How many eights can fit into 16?
How many eights can fit into 16?
How many eights can fit into 16?
7
Every division problem can be translated into a
question.
Every division problem can be translated into a
question.
How many eights can fit into 16?
How many eights can fit into 16?
8
Every division problem can be translated into a
question.
Every division problem can be translated into a
question.
How many eights can fit into 16?
How many eights can fit into 16?
9
Every division problem can be translated into a
question.
How many eights can fit into 16? 2
10
Every division problem can be translated into a
question.
12 4 3
11
Every division problem can be translated into a
question.
12 4 3
How many fours can fit into 12?
12
Every division problem can be translated into a
question.
How many fours can fit into 12?
13
Every division problem can be translated into a
question.
How many fours can fit into 12?
14
Every division problem can be translated into a
question.
How many fours can fit into 12?
15
Every division problem can be translated into a
question.
How many fours can fit into 12?
16
Every division problem can be translated into a
question.
How many fours can fit into 12? 3
17
Every division problem can be translated into a
question.
5 ½ 10
18
Every division problem can be translated into a
question.
5 ½ 10
How many halves can fit into 5?
19
Every division problem can be translated into a
question.
How many halves can fit into 5?
20
Every division problem can be translated into a
question.
How many halves can fit into 5?
21
Every division problem can be translated into a
question.
How many halves can fit into 5?
22
Every division problem can be translated into a
question.
How many halves can fit into 5?
23
Every division problem can be translated into a
question.
How many halves can fit into 5?
24
Every division problem can be translated into a
question.
How many halves can fit into 5?
25
Every division problem can be translated into a
question.
How many halves can fit into 5?
26
Every division problem can be translated into a
question.
How many halves can fit into 5?
27
Every division problem can be translated into a
question.
How many halves can fit into 5?
28
Every division problem can be translated into a
question.
How many halves can fit into 5?
29
Every division problem can be translated into a
question.
How many halves can fit into 5?
30
Every division problem can be translated into a
question.
How many halves can fit into 5? 10
31
Find each quotient.
1) 800 400 2) 80 40 3) 8 4
32
Find each quotient.
1) 800 400 2 2) 80 40 3) 8 4
33
Find each quotient.
1) 800 400 2 2) 80 40 2 3) 8 4
34
Find each quotient.
1) 800 400 2 2) 80 40 2 3) 8 4 2
35
Find each quotient.
1) 800 400 2 2) 80 40 2 3) 8 4
2 Although these problems look different, their
quotients are the same.
36
Find each quotient.
1) 12,000 200 2) 1200 20 3) 120 2
37
Find each quotient.
1) 12,000 200 60 2) 1200 20 3) 120 2
38
Find each quotient.
1) 12,000 200 60 2) 1200 20 60 3) 120 2

39
Find each quotient.
1) 12,000 200 60 2) 1200 20 60 3) 120 2
60
40
Find each quotient.
1) 12,000 200 60 2) 1200 20 60 3) 120 2
60 Although these problems look different,
their quotients are the same.
41
Find each quotient.
1) 35 7 2) 350 70 3) 3500 700
42
Find each quotient.
1) 35 7 5 2) 350 70 3) 3500 700
43
Find each quotient.
1) 35 7 5 2) 350 70 5 3) 3500 700
44
Find each quotient.
1) 35 7 5 2) 350 70 5 3) 3500 700 5
45
Find each quotient.
1) 35 7 5 2) 350 70 5 3) 3500 700
5 Although these problems look different, their
quotients are the same.
46
What is the question that this problem asks?
10 .05
47
What is the question that this problem asks?
10 .05
How many .05s fit into 10?
48
What is the question that this problem asks?
10 .05
How many nickels make up 10?
49
10 .05
If 20 nickels make up 1, .
50
10 .05
If 20 nickels make up 1, then 200 nickels make
up 10.
51
10 .05
200
If 20 nickels make up 1, then 200 nickels make
up 10.
52
10 .05
200
Therefore, .05 fits into 10 200 times.
53
Notice how these problems look different but
result in the same quotient.
10 .05
200
100 .5 200 1000 5 200 10,000 50 200
54
You can use this concept of a different problem
resulting in the same answer to help you divide
by a decimal.
55
You can use this concept of a different problem
resulting in the same answer to help you divide
by a decimal.
48 .8
56
The quotients for these problems are the same.
480 8
48 .8
57
The quotients for these problems are the same.
480 8 60
48 .8
58
The quotients for these problems are the same.
480 8 60
48 .8 60
59
Lets look at another example.
45 .09
60
There are other problems that appear different
but result in the same quotient.
45 .09
61
There are other problems that appear different
but result in the same quotient.
4500 9
450 .9
45 .09
62
There are other problems that appear different
but result in the same quotient.
4500 9 500
450 .9
45 .09
63
There are other problems that appear different
but result in the same quotient.
4500 9 500
450 .9 500
45 .09
64
There are other problems that appear different
but result in the same quotient.
4500 9 500
450 .9 500
45 .09 500
65
It might seem weird to you that this quotient is
so large.
45 .09 500
66
It might seem weird to you that this quotient is
so large.
45 .09 500
Ask yourself this question, How many times can 9
cents fit in 45?
67
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 .7
68
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 .7
Multiply the divisor by 10 to make it a whole
number.
69
When dividing by a decimal, change the problem so
that the divisor is a whole number.
.
35 7
70
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 7
.
71
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 7
.
72
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 7
.
73
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 7
.
74
When dividing by a decimal, change the problem so
that the divisor is a whole number.
35 7
.
75
When dividing by a decimal, change the problem so
that the divisor is a whole number.
.
35 7
76
If you change the divisor, then you must also
change the dividend.
.
35 7
77
If you change the divisor, then you must also
change the dividend.
35 7
Multiply the dividend by 10 because you
multiplied the divisor by 10.
78
If you change the divisor, then you must also
change the dividend.
350 7
79
The quotient for this problem
350 7 50
80
The quotient for this problem is the same as the
quotient for the original problem.
350 7 50
35 .7
81
The quotient for this problem is the same as the
quotient for the original problem.
350 7 50
35 .7 50
82
Whatever you do to the divisor, you must also do
to the dividend.
24 .06
Multiply the divisor by 100 to make it a whole
number.
83
Whatever you do to the divisor, you must also do
to the dividend.
.
24 06
Multiply the divisor by 100 to make it a whole
number.
84
Whatever you do to the divisor, you must also do
to the dividend.
24 06
.
Multiply the divisor by 100 to make it a whole
number.
85
Whatever you do to the divisor, you must also do
to the dividend.
.
24 06
Multiply the divisor by 100 to make it a whole
number.
86
Whatever you do to the divisor, you must also do
to the dividend.
24 06
.
Multiply the divisor by 100 to make it a whole
number.
87
Whatever you do to the divisor, you must also do
to the dividend.
.
24 6
Multiply the divisor by 100 to make it a whole
number.
88
Whatever you do to the divisor, you must also do
to the dividend.
24 6
Multiply the dividend by 100.
89
Whatever you do to the divisor, you must also do
to the dividend.
2400 6
Multiply the dividend by 100.
90
Now divide.
2400 6
91
Now divide.
2400 6 400
92
If
2400 6 400
Then
24 .06 400
93
Practice Time
94
1) Which problem has the same quotient as 12
.4 ?
12 4 3
120 4 30
95
Incorrect.Remember, if you multiply the divisor
by 10, then you must also multiply the dividend
by 10.
12 .4
x 10
x 10
120 4 30
96
1) Which problem has the same quotient as 12
.4 ?
120 4 30
97
2) Which problem has the same quotient as 45
.05 ?
4500 5 900
450 5 90
98
Incorrect.Remember, if you multiply the divisor
by 100, then you must also multiply the dividend
by 100.
45 .05
x 100
x 100
4500 5 900
99
2) Which problem has the same quotient as 45
.05 ?
4500 5 900
100
3) Write a problem that has the same quotient as
25 .5 ?
101
3) Write a problem that has the same quotient as
25 .5 ?
There are many possible answers. The simplest
is 250 5 50
102
4) Write a problem that has the same quotient as
36 .06 ?
103
4) Write a problem that has the same quotient as
36 .06 ?
There are many possible answers. The simplest
is 3600 6 600
104
5) Write a problem that has the same quotient as
21 .007 ?
105
5) Write a problem that has the same quotient as
21 .007 ?
There are many possible answers. The simplest
is 21,000 7 3000
106
6) What is the quotient of45 .9 ?
107
6) What is the quotient of45 .9 ?
Change the problem by making the divisor a whole
number. This can be done by multiplying by 10.
45 .9
108
6) What is the quotient of45 .9 ?
Change the problem by making the divisor a whole
number. This can be done by multiplying by 10.
450 9 .
Notice that we also had to multiply the dividend
by 10.
109
6) What is the quotient of45 .9 ?
This problem will give us the same answer as the
original problem.
450 9
110
6) What is the quotient of45 .9 ?
This problem will give us the same answer as the
original problem.
450 9 50
111
6) What is the quotient of45 .9 ?
45 .9 50
112
7) What is the quotient of56 .08 ?
113
7) What is the quotient of56 .08 ?
Change the problem by making the divisor a whole
number. This can be done by multiplying by 100.
56 .08
114
7) What is the quotient of56 .08 ?
Change the problem by making the divisor a whole
number. This can be done by multiplying by 100.
5600 08 .
Notice that we also had to multiply the dividend
by 100.
115
7) What is the quotient of56 .08 ?
This problem will give us the same answer as the
original problem.
5600 8
116
7) What is the quotient of56 .08 ?
This problem will give us the same answer as the
original problem.
5600 8 700
117
7) What is the quotient of56 .08 ?
56 .08 700
118
8) What is the quotient of24 .008 ?
119
8) What is the quotient of24 .008 ?
Change the problem by making the divisor a whole
number. This can be done by multiplying by 1000.
24 . 008
120
8) What is the quotient of24 .008 ?
Change the problem by making the divisor a whole
number. This can be done by multiplying by 1000.
24,000 008 .
Notice that we also had to multiply the dividend
by 1000.
121
8) What is the quotient of24 .008 ?
This problem will give us the same answer as the
original problem.
24,000 8
122
8) What is the quotient of24 .008 ?
This problem will give us the same answer as the
original problem.
24,000 8 3000
123
8) What is the quotient of24 .008 ?
24 .008 3000
124
THE END!