dividing decimals lesson 1-9. remember the parts of a division problem: 545 9 dividend divisor...
TRANSCRIPT
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Dividing Decimals
Lesson 1-9
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Remember the parts of a division problem:
5 459
dividend
divisor
quotient
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Dividing a Decimal by a Whole Number
• Place the decimal point in the quotient directly above the decimal point in the dividend.
• Divide as you normally would (DMSCB)
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Example
5 12.5. D
MSCB
2
1025
5
250
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Example 29 101.52
.1
911
1
925
2
1872
8
720
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Dividing a Decimal by a Decimal
• Move the decimal point in the divisor to the right, until you get to the end of the digits.
• Count how many places you moved that decimal.
• Move the decimal point in the dividend the same number of places to the right that you moved the decimal point in the divisor.
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Example
0.3 6.72
one space
03 67.2 New problem
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3 67.2DMSCB
.2
607
2
61 2
4
1 20
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Example 23.2 2.24
32 22.4. 32
x 5160
32x 8256
32x 7224
7
22 40
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Example 30.38 13.3
The decimal must be moved 2 spaces to the right.
When we move this one 2 spaces, we find that we need to add a space. What will we fill it with?
Answer: Fill it in with a 0. 13.3 becomes 1330
SO, our problem becomes 038 into 1330. 038 is the same as 38.
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38 133038
x 5190
38x 4152
38x 3114
3
114
190
5
1900
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Example 4
2.48 1.3392
248 133.92
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248 133.92.
248x 5
1240
248x 6
14885
124 099 2
248x 4992
4
9 920
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Terminating and Repeating Decimals
• A terminating decimal is a decimal that stops, or terminates.
• Examples: 1.25 or 0.892• A repeating decimal is a decimal that has
a repeating digit or a repeating group of digits.
• Examples: 1.3333… or .121212121…• Repeating decimals usually have a bar
across the repeating portion.
2.3
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6287
566
.0
.
0
7
564
0
0
5
400
Terminating decimal
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56 .0. 8
4 82
0
0
3
18
2
0
0
3
182
This is a repeating decimal.
.83
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Classwork:Show what you know about dividing decimals by trying out this site that models multiplication and division together!http://www.hbschool.com/activity/elab2004/gr6/1.html
Time For Homework!P. 45, 1-55 odd