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Converting Simple Decimals to Fractions and Vice Versa.
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Transcript of Converting Simple Decimals to Fractions and Vice Versa.
![Page 1: Converting Simple Decimals to Fractions and Vice Versa.](https://reader033.fdocuments.us/reader033/viewer/2022061602/56649f265503460f94c3ca8e/html5/thumbnails/1.jpg)
Converting Simple Decimals to Fractions and Vice Versa
![Page 2: Converting Simple Decimals to Fractions and Vice Versa.](https://reader033.fdocuments.us/reader033/viewer/2022061602/56649f265503460f94c3ca8e/html5/thumbnails/2.jpg)
Today’s Learning Goals We will continue to link our understanding of
fractions with decimals. We will continue to develop our understanding
of place value when determining the fraction equivalence of decimals.
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Representing Decimals Recently, we have seen how to represent a
decimal number to the hundredths using a rectangle cut up into 100 parts.
For example, how would we represent the number 2.34 if we let the large rectangle below represent 1 whole?Good…we need 2 wholes and 34 hundredths.
![Page 4: Converting Simple Decimals to Fractions and Vice Versa.](https://reader033.fdocuments.us/reader033/viewer/2022061602/56649f265503460f94c3ca8e/html5/thumbnails/4.jpg)
Decimals to Fractions The number 2.34 and the representation above show
different ways to write the number as a fraction.
2 3 4
ones
tenth
shundre
dth
s First, you could write the decimal out in
expanded form. Expanded form shows the value of each place.
How would we write 2.34 in expanded form?
Nice…1004
103
2
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Decimals to Fractions Another way to write a decimal is as a mixed
fraction. When writing a decimal as a mixed fraction,
we must state how many wholes there are and then what part of another whole by combining everything to the right of the decimal place.
2 3 4
ones
tenth
shundre
dth
s
How would we write 2.34 as a mixed fraction?
Good…
10034
2
1004
10030
2
![Page 6: Converting Simple Decimals to Fractions and Vice Versa.](https://reader033.fdocuments.us/reader033/viewer/2022061602/56649f265503460f94c3ca8e/html5/thumbnails/6.jpg)
Decimals to Fractions A third way to write a decimal is just as a
single fraction. When writing a decimal as a single fraction, we
must combine all place values together. How would we write 2.34
as a single fraction?
Good…
100
234100
4
100
30
100
200
2 3 4
ones
tenth
shundre
dth
s
![Page 7: Converting Simple Decimals to Fractions and Vice Versa.](https://reader033.fdocuments.us/reader033/viewer/2022061602/56649f265503460f94c3ca8e/html5/thumbnails/7.jpg)
Fractions to Decimals As we have discussed, all decimal numbers
are fractions with a denominator that is a power of 10 (e.g. tenths, hundredths).
Consider the following fractions. How would you write the following as decimals?
a)10
3= 0.3 b)
100
6= 0.06 c)
100
52= 0.52
d)10
62 = 2.6 e)
100
2435 =
35.24f)
100
71 = 1.07
![Page 8: Converting Simple Decimals to Fractions and Vice Versa.](https://reader033.fdocuments.us/reader033/viewer/2022061602/56649f265503460f94c3ca8e/html5/thumbnails/8.jpg)
Fractions to Decimals Suppose the fraction was . This fraction is
not in tenths or hundredths. What could we do to write this fraction as a decimal?
52
Excellent…we could get an equivalent fraction for 2/5.
Now that we have 2/5 written with a base-10 denominator, how could we write 2/5 as a decimal?
5
2
10
4
Awesome… = 0.45
2
10
4
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Fractions to Decimals Consider the following fractions. How would
you write the following as decimals?
a)5
48.0
10
8 5.2
10
52 75.3
100
753 b)
2
12 c)
4
33
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Partner Work You have 20 minutes to work on the following
problems with your partner.
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For those that finish early
What number does each letter represent?
0 0.05 0.1 0.15 0.2 0.25
A B C D E
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Big Idea from Today’s Lesson We can represent the same decimal number in
many different ways. In expanded form, mixed fraction form, or as a single
fraction.
One way to go from a fraction to a decimal is to get the fraction to have a denominator that is a power of 10.
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Homework Complete Homework Worksheet. Pg. 155 (2, 3, 15, 17, 18)