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Warm Up

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Comparing and Ordering Rational Numbers 2-11 Warm Up Problem of the Day Lesson Presentation Course 2 Warm Up Write each mixed number as an improper fraction. – PowerPoint PPT presentation

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Title: Warm Up


1
Warm Up
Problem of the Day
Lesson Presentation
2
Warm Up Write each mixed number as an improper
fraction. 1. 1 3. 1
23 8
7 4
3 4
7 8
2. 2
5 6
1 12
11 6
97 12
4. 8
3
Learn to compare and order fractions and
decimals.
4
Insert Lesson Title Here
Vocabulary
rational number
5
7 9
2 9
Which is greater, or ?
When two fractions have the same denominator,
just compare the numerators.
7 9
2 9
gt
because 7 gt 2.
7 9

2 9

6
Additional Example 1A Comparing Fractions
Compare the fractions. Write lt or gt.
The LCM of the denominators 9 and 8 is 72.
Write equivalent fractions with 72 as the
denominator.




Compare the numbers.
7
Additional Example 1B Comparing Fractions
Compare the fractions. Write lt or gt.


Cross Multiply the denominator Of the first
fraction by the Numerator of the second
fraction Second, Cross multiply the Denominator
of the second fraction By the numerator of the
first fraction
Cross Multiply



-14 -15
-14 gt -15 So -2/5 gt -3/7
8
Check It Out Example 1A
Compare the fractions. Write lt or gt.
9
Check It Out Example 1B
Compare the fractions. Write lt or gt.


Both fractions can be written with a denominator
of 56.
Write equivalent fractions with common
denominators. Put the negative signs in the
numerators.
6 7 8 7
42 56



5 8 7 8
40 56



5 7
42 56
40 56


lt

, and so lt .
10
To compare decimals, line up the decimal points
and compare digits from left to right until you
find the place where the digits are different.
11
Additional Example 2A Comparing Decimals
Compare the decimals. Write lt or gt.
0.427
0.425
0.427
Line up the decimal points.
7
The tenths and hundredths are the same.
0.425
5
Compare the thousandths
7 gt 5.
Since 0.007 gt 0.005, 0.427 gt 0.425.
12
Additional Example 2B Comparing Decimals
Compare the decimals. Write lt or gt.
0.73
0.734
0.733
Line up the decimal points.
3
The tenths and hundredths are the same.
0.734
4
Compare the thousandths
3 lt 4.
13
Check It Out Example 2A
Compare the decimals. Write lt or gt.
0.535
0.538
0.535
Line up the decimal points.
5
The tenths and hundredths are the same.
0.538
8
Compare the thousandths
5 lt 8.
Since 0.005 lt 0.008, 0.535 lt 0.538.
14
Check It Out Example 2B
Compare the decimals. Write lt or gt.
0.334
0.3333
Line up the decimal points.
3
The tenths and hundredths are the same.
0.334
4
Compare the thousandths
3 lt 4.
15
A rational number is a number that can be written
as a fraction with integers for its numerator and
denominator. When rational numbers are written in
a variety of forms, you can compare the numbers
by writing them all in the same form.
16
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17
Additional Example 3 Ordering Fractions and
Decimals
4 5
0.93, and 0.9 from least to greatest.
,
Order
Write as decimals with the same number of places.
4 5
0.80
0.93 0.93
0.9 0.90
Graph the numbers on a number line.
0.93
0.80 lt 0.90 lt 0.93
Compare the decimals in order.
4 5
From least to greatest, the numbers are , 0.9,
0.93.
18
Check It Out Example 3
3 5
Order , 0.84, and 0.7 from least to greatest.
Write as decimals with the same number of places.
3 5
0.60
0.84 0.84
0.7 0.70
Graph the numbers on a number line.
0.84
0.60 lt 0.70 lt 0.84
Compare the decimals in order.
3 5
From least to greatest, the numbers are , 0.7,
0.84.
19
Insert Lesson Title Here
Lesson Practice
Compare the fractions. Write gt or lt. 1.
Compare the decimals. Write lt or gt. 3. 0.32
and 0.312
4 10
3 7
2 3
5 8
or
2.
or
gt
5 6
4. Order , 0.8, 0.826 from least to greatest.
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