Transcript Dividing Decimals

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Your Learningspot Development Team
Dividing
Decimals
By
Anita Salyer
Modified by Michelle Gray
Dividing Decimals
Getting Started
Before you learn to divide decimals, start by taking a look at
the steps you should use.
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
.3633 : .06 =
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
1. Write the problem. If the problem is written
across, you can copy with the Divisor (number
you are dividing by) is outside the division sign.
.3633 : .06 =
)
.0 6 .3 6 3 3
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
1. If the problem is written across, you can copy
with the Divisor (number dividing by) is outside
the division sign.
2. Move the decimal point of the Divisor (number
you are dividing by) all the way to the right so
that it becomes a whole number.
.3633 : .06 =
)
.0 6. .3 6 3 3
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
1. If the problem is written across, you can copy
with the Divisor (number dividing by) is outside
the division sign.
2. Move the decimal point of the Divisor (number
you are dividing by) all the way to the right so
that it becomes a whole number.
3. Move the decimal point on the Dividend the
SAME number of places to the right as you did on
Divisor. Add 0s if you need to move beyond the
end of the number.
.3633 : .06 =
)
.0 6. .3 6.3 3
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
1. If the problem is written across, you can copy
with the Divisor (number dividing by) is outside
the division sign.
2. Move the decimal point of the Divisor (number
you are dividing by) all the way to the right so
that it becomes a whole number.
3. Move the decimal point on the Dividend the
SAME number of places to the right as you did on
Divisor. Add 0s if you need to move beyond the
end of the number.
4. Put the decimal point for your answer
DIRECTLY ABOVE the one in your dividend.
.3633 : .06 =
.
.0 6. .3 6.3 3
)
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
1. If the problem is written across, you can copy
with the Divisor (number dividing by) is outside
the division sign.
2. Move the decimal point of the Divisor (number
you are dividing by) all the way to the right so
that it becomes a whole number.
3. Move the decimal point on the Dividend the
SAME number of places to the right as you did on
Divisor. Add 0s if you need to move beyond the
end of the number.
4. Put the decimal point for your answer
DIRECTLY ABOVE the one in your dividend.
5. Divide the same way you do with whole numbers.
After the decimal point, answer with a 0 any time
a number is too small to be divided.
.3633 : .06 =
6.0 5
.0 6. .3 6.3 3
36
3
0
33
30
3
)
Dividing Decimals
Getting Started
Follow these steps when you are dividing decimals.
1. If the problem is written across, you can copy
with the Divisor (number dividing by) is outside
the division sign.
2. Move the decimal point of the Divisor (number
you are dividing by) all the way to the right so
that it becomes a whole number.
3. Move the decimal point on the Dividend the
SAME number of places to the right as you did on
Divisor. Add 0s if you need to move beyond the
end of the number.
4. Put the decimal point for your answer
DIRECTLY ABOVE the one in your dividend.
5. Divide the same way you do with whole numbers.
After the decimal point, answer with a 0 any time
a number is too small to be divided.
6. If there is a remainder, add 0s to the number
inside the division sign-one at a time, bring them
down, and divide until there is no remainder or
until there are 4 decimal places in your answer.
.3633 : .06 =
6.0 5 5
.0 6. .3 6.3 3 0
36
3
0
33
30
30
30
0
)
Dividing Decimals
Practice Exercises
Now, practice the steps for dividing decimals by doing some
problems along with me.
Dividing Decimals
Practice Exercises: Problem 1 of 10
Write this problem down and work through it with me.
1.
.25 : .5 =
Dividing Decimals
Practice Exercises: Problem 1 of 10
The problem is written across. We can copy it so that the Dividend is
inside the division sign and the Divisor is outside the division sign.
1.
.25 : .5 =
.5
) .2 5
Dividing Decimals
Practice Exercises: Problem 1 of 10
Move the decimal point of the Divisor of the division sign 1 place to
the right so that it becomes a whole number.
1.
.25 : .5 =
.5.
) .2 5
Dividing Decimals
Practice Exercises: Problem 1 of 10
Move the decimal point on dividend 1 place to the right, just as you
did on the divisor.
1.
.25 : .5 =
.5.
) .2.5
Dividing Decimals
Practice Exercises: Problem 1 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one
in your dividend.
1.
.25 : .5 =
.5.
)
.
.2.5
Dividing Decimals
Practice Exercises: Problem 1 of 10
Divide the same way you do with whole numbers. The answer is .5.
1.
.25 : .5 =
.5.
)
.5
.2.5
25
0
Dividing Decimals
Practice Exercises: Problem 2 of 10
Write this problem down and work through it with me.
2.
.0057 : .19 =
Dividing Decimals
Practice Exercises: Problem 2 of 10
The problem is written across. Copy it so that the divisor is outside
the division sign.
2.
.0057 : .19 =
.1 9
) .0 0 5 7
Dividing Decimals
Practice Exercises: Problem 2 of 10
Move the decimal point of the divisor 2 places to the right so that it
becomes a whole number.
2.
.0057 : .19 =
)
.1 9. .0 0 5 7
Dividing Decimals
Practice Exercises: Problem 2 of 10
Move the decimal point on the dividend 2 places to the right, just as
you did on the outside number.
2.
.0057 : .19 =
)
.1 9. .0 0.5 7
Dividing Decimals
Practice Exercises: Problem 2 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one
in your inside number.
2.
.0057 : .19 =
.
.1 9. .0 0.5 7
)
Dividing Decimals
Practice Exercises: Problem 2 of 10
Divide the same way you do with whole numbers. Since the first digit
of your answer is after the decimal point, answer with a 0 to show
that the 5 can’t be divided by the 19. The answer is .03.
2.
.0057 : .19 =
.0 3
.1 9. .0 0.5 7
0
57
57
0
)
Dividing Decimals
Practice Exercises: Problem 3 of 10
Write this problem down and work through it with me.
3.
.452 : .5 =
Dividing Decimals
Practice Exercises: Problem 3 of 10
The problem is written across. Copy it so that the Divisor is outside
the division sign.
3.
.452 : .5 =
.5
) .4 5 2
Dividing Decimals
Practice Exercises: Problem 3 of 10
Move the decimal point of the divisor 1 place to the right so that it
becomes a whole number.
3.
.452 : .5 =
)
.5. .4 5 2
Dividing Decimals
Practice Exercises: Problem 3 of 10
Move the decimal point on the dividend 1 place to the right, just as
you did on the divisor.
3.
.452 : .5 =
)
.5. .4.5 2
Dividing Decimals
Practice Exercises: Problem 3 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
the dividend.
3.
.452 : .5 =
.
.5. .4.5 2
)
Dividing Decimals
Practice Exercises: Problem 3 of 10
Divide the same way you do with whole numbers.
3.
.452 : .5 =
.9 0
.5. .4.5 2
45
2
0
2
)
Dividing Decimals
Practice Exercises: Problem 3 of 10
Since there is a remainder, add a 0 to the number inside the division
sign. Then bring the 0 down and divide.The answer is .904.
3.
.452 : .5 =
.9 0 4
.5. .4.5 2 0
45
2
0
20
20
0
)
Dividing Decimals
Practice Exercises: Problem 4 of 10
Write this problem down and work through it with me.
4.
16 : .004 =
Dividing Decimals
Practice Exercises: Problem 4 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
4.
16 : .004 =
.0 0 4
)16
Dividing Decimals
Practice Exercises: Problem 4 of 10
Move the decimal point of the number on the outside of the division
sign 3 places to the right so that it becomes a whole number.
4.
16 : .004 =
)
.0 0 4. 1 6
Dividing Decimals
Practice Exercises: Problem 4 of 10
The inside number doesn’t have a decimal point. Put one at the end
of it on the right side. Then add 3 0s and move the decimal point 3
places to the right, just as you did on the outside number.
4.
16 : .004 =
)
.0 0 4. 1 6.0 0 0.
Dividing Decimals
Practice Exercises: Problem 4 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
4.
16 : .004 =
.
.0 0 4. 1 6.0 0 0.
)
Dividing Decimals
Practice Exercises: Problem 4 of 10
Divide the same way you do with whole numbers. The answer is
4000.
4.
4 0 0 0.
16 : .004 =
)
.0 0 4. 1 6.0 0 0.
16
0
0
0
0
0
0
0
Dividing Decimals
Practice Exercises: Problem 5 of 10
Write this problem down and work through it with me.
5.
74.2 : .7 =
Dividing Decimals
Practice Exercises: Problem 5 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
5.
74.2 : .7 =
.7
) 7 4.2
Dividing Decimals
Practice Exercises: Problem 5 of 10
Move the decimal point of the number on the outside of the division
sign 1 place to the right so that it becomes a whole number.
5.
74.2 : .7 =
)
.7. 7 4.2
Dividing Decimals
Practice Exercises: Problem 5 of 10
Move the decimal point on the inside number 1 place to the right,
just as you did on the outside number.
5.
74.2 : .7 =
)
.7. 7 4.2.
Dividing Decimals
Practice Exercises: Problem 5 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
5.
74.2 : .7 =
.
.7. 7 4.2.
)
Dividing Decimals
Practice Exercises: Problem 5 of 10
Divide the same way you do with whole numbers. The answer is 106.
5.
74.2 : .7 =
1 0 6.
.7. 7 4.2.
7
4
0
42
42
0
)
Dividing Decimals
Practice Exercises: Problem 6 of 10
Write this problem down and work through it with me.
6.
2.37 : 3 =
Dividing Decimals
Practice Exercises: Problem 6 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
6.
2.37 : 3 =
)
3 2.3 7
Dividing Decimals
Practice Exercises: Problem 6 of 10
The number on the outside of the division sign doesn’t have a decimal
point, so the decimal point in the inside number stays where it is.
6.
2.37 : 3 =
)
3 2.3 7
Dividing Decimals
Practice Exercises: Problem 6 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
6.
2.37 : 3 =
.
3 2.3 7
)
Dividing Decimals
Practice Exercises: Problem 6 of 10
Divide the same way you do with whole numbers. The answer is .79.
6.
2.37 : 3 =
.7 9
3 2.3 7
21
27
27
0
)
Dividing Decimals
Practice Exercises: Problem 7 of 10
Write this problem down and work through it with me.
7.
95 : .25 =
Dividing Decimals
Practice Exercises: Problem 7 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
7.
95 : .25 =
)
.25 9 5
Dividing Decimals
Practice Exercises: Problem 7 of 10
Move the decimal point of the number on the outside of the division
sign 2 places to the right so that it becomes a whole number.
7.
95 : .25 =
)
.25. 9 5
Dividing Decimals
Practice Exercises: Problem 7 of 10
The inside number doesn’t have a decimal point. Put one at the end of
it on the right side. Then add 2 0s and move the decimal point 2 places
to the right, just as you did on the outside number.
7.
95 : .25 =
)
.25. 9 5.0 0.
Dividing Decimals
Practice Exercises: Problem 7 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
7.
95 : .25 =
.
.25. 9 5.0 0.
)
Dividing Decimals
Practice Exercises: Problem 7 of 10
Divide the same way you do with whole numbers. The answer is 380.
7.
95 : .25 =
3 8 0.
.25. 9 5.0 0.
75
200
200
0
0
0
)
Dividing Decimals
Practice Exercises: Problem 8 of 10
Write this problem down and work through it with me.
8.
.8 : .3 =
Dividing Decimals
Practice Exercises: Problem 8 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
8.
.8 : .3 =
.3
) .8
Dividing Decimals
Practice Exercises: Problem 8 of 10
Move the decimal point of the number on the outside of the division
sign 1 place to the right so that it becomes a whole number.
8.
.8 : .3 =
)
.3. .8
Dividing Decimals
Practice Exercises: Problem 8 of 10
Move the decimal point on the inside number 1 place to the right, just
as you did on the outside number.
8.
.8 : .3 =
)
.3. .8.
Dividing Decimals
Practice Exercises: Problem 8 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
8.
.8 : .3 =
.
.3. .8.
)
Dividing Decimals
Practice Exercises: Problem 8 of 10
Divide the same way you do with whole numbers.
8.
.8 : .3 =
2.
.3. .8.
6
2
)
Dividing Decimals
Practice Exercises: Problem 8 of 10
Since there is a remainder, add 0s to the inside number-one at a time,
bring them down, and divide until there are 4 decimal places in your
answer. The answer is 2.6666.
8.
.8 : .3 =
2.6 6 6 6
.3. .8.0 0 0 0
6
20
18
20
18
20
18
20
18
2
)
Dividing Decimals
Practice Exercises: Problem 9 of 10
Write this problem down and work through it with me.
9.
1.854 : 9 =
Dividing Decimals
Practice Exercises: Problem 9 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
9.
1.854 : 9 =
)
9 1.8 5 4
Dividing Decimals
Practice Exercises: Problem 9 of 10
The number on the outside of the division sign doesn’t have a decimal
point, so the decimal point in the inside number stays where it is.
9.
1.854 : 9 =
)
9 1.8 5 4
Dividing Decimals
Practice Exercises: Problem 9 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
9.
1.854 : 9 =
.
9 1.8 5 4
)
Dividing Decimals
Practice Exercises: Problem 9 of 10
Divide the same way you do with whole numbers. The answer is .206.
9.
1.854 : 9 =
.2 0 6
9 1.8 5 4
18
5
0
)
54
54
0
Dividing Decimals
Practice Exercises: Problem 10 of 10
Write this problem down and work through it with me.
10.
9.09 : 4.5 =
Dividing Decimals
Practice Exercises: Problem 10 of 10
The problem is written across. Copy it so that the FIRST number is
inside the division sign.
10.
9.09 : 4.5 =
)
4.5 9.0 9
Dividing Decimals
Practice Exercises: Problem 10 of 10
Move the decimal point of the number on the outside of the division
sign 1 place to the right so that it becomes a whole number.
10.
9.09 : 4.5 =
)
4.5. 9.0 9
Dividing Decimals
Practice Exercises: Problem 10 of 10
Move the decimal point on the inside number 1 place to the right, just
as you did on the outside number.
10.
9.09 : 4.5 =
)
4.5. 9.0.9
Dividing Decimals
Practice Exercises: Problem 10 of 10
Put the decimal point for your answer DIRECTLY ABOVE the one in
your inside number.
10.
9.09 : 4.5 =
.
4.5. 9.0.9
)
Dividing Decimals
Practice Exercises: Problem 10 of 10
Divide the same way you do with whole numbers.
10.
9.09 : 4.5 =
2.0
4.5. 9.0.9
90
9
0
9
)
Dividing Decimals
Practice Exercises: Problem 10 of 10
Since there is a remainder, add a 0 to the number inside the division
sign. Then bring the 0 down and divide.The answer is 2.02
10.
9.09 : 4.5 =
2.0 2
4.5. 9.0.9 0
90
9
0
90
90
0
)