Transcript Comparing Fractions and Decimals by: April

Comparing
Fractions and Decimals
Grade 5
Lesson Objectives
• 6.A.1.d Compare and order fractions with or
without using symbols (>,<,=)
• 6.A.1.c Identify and determine equivalent
forms of proper fractions
• 3.A.1.a Use technology tools, including
software and hardware, from a range of
teacher -selected options to learn new
content or reinforce skills.
Unitedstreaming Video Clip
•
There is a great video clip that can be
used with this lesson. To use it:
1. Log into Unitedstreaming
– www.unitedstreaming.com
2. Do a search for this Movie:
–
Discovery Math: Number Theory (3-5)
Discovery Channel School
3. Then choose this clip:
–
Relations Among Numbers
Fractions and Decimals
Discovery Math: Number Theory (3-5) Discovery Channel
School. 2005 http://www.unitedstreaming.com/>
Let’s Review
•
•
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•
Comparing
Converting
Comparing
Converting
fractions
fractions to decimals
decimals
decimals to fractions
Comparing Fractions
• In order to compare fractions,
the denominators for each
fraction need to be the same.
• Find the Least Common Multiple
• Make equivalent fractions
Comparing Fractions
3
2
7
4 , 5 , 20
4: 4, 8, 12, 16, 20
5: 5, 10, 15, 20, 25
20: 20
LCM = 20
Comparing Fractions
3
4
=
15
20
2
5
=
8
20
7
20
=
7
20
Now order these fractions from
least to greatest.
7
20
2
5
3
4
Comparing Fractions
Order these fractions
6
10
1
2
1
2
4
5
6
10
4
5
Comparing Decimals
• When comparing decimals, you have to
look at the whole numbers.
• If the whole numbers are the same,
then look at the decimal in the tenths
place.
• Keep looking at the digits until you can
identify which is the greatest or least.
Comparing Decimals
Practice Time! Order from least to greatest
Problems
Answers
1.134, 1.341, 1.103
1.103, 1.134, 1.341
14.072, 14.172, 14.07
14.07, 14.072, 14.172
3.963, 3.63, 3.93
3.63, 3.93, 3.963
Converting Fractions to Decimals
Think about how you say the fraction.
6
= .6
10
How many TENTHS are
there? The 6 goes in the
TENTHS place.
8
=
100
.08
How many HUNDREDTHS
are there? The 8 goes in the
HUNDREDTHS place.
Converting Fractions to Decimals
If the denominator is not a tenth or
hundredth, you will need to make an
equivalent fraction using a 10 or 100
as the denominator.
4
5
=
8
=
.8
10
Converting Fractions to Decimals
3
4
Let’s try a few!
75
= 100 = .75
4
20
=
= .20
20
100
10
40
.40
=
=
25
100
Converting Decimals to Fractions
• Converting decimals to fractions is the
opposite of converting fractions to
decimals.
• Once again, read the fraction.
• What do you hear?
Tenths or hundredths?
Converting Decimals to Fractions
Think about how you say the decimal.
6
=
.6
10
8
.08 = 100
Read the decimal. The 6 is
in the TENTHS place, so
the denominator is 10.
What place is the 8 in? The
HUNDREDTHS place. The
denominator is 100.
Converting Decimals to fractions
.60
Let’s try a few!
6
60
= 10 or 100
16
.16 =
100
40
4
.40 = 100 or 10
Comparing
Fractions and Decimals
In order to compare fractions
and decimals, you have to use all
of the skills you have learned and
reviewed in this session. You can
not compare fractions and
decimals. You have to convert
them all to either fractions or all
to decimals.
Comparing
Fractions and Decimals
Compare and order these fractions and decimals.
.60
4
10
4
20
1
2
.75
.4