3-10 comparing and ordering rational numbers course 2 warm up warm up problem of the day problem of...
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Which is greater, or ? When two fractions have the same denominator, just compare the numerators > 2929 because 7 > 2. = 7979 = 2929 Course Comparing and Ordering Rational NumbersTRANSCRIPT
![Page 1: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/1.jpg)
3-10 Comparing and Ordering Rational Numbers
Course 2
Warm UpWarm UpProblem of the DayProblem of the DayLesson PresentationLesson Presentation
![Page 2: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/2.jpg)
Learn to compare and order fractions and decimals.
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 3: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/3.jpg)
Which is greater, or ?79
29
When two fractions have the same denominator, just compare the numerators.
79 > 2
9 because 7 > 2.
= 79
= 29
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 4: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/4.jpg)
Compare the fractions. Write < or >.
Additional Example 1A: Comparing Fractions
A. 79
58
Both fractions can be written with a denominator of 72.79 = 7 · 8
9 · 8 = 5672
58 = 5 · 9
8 · 9 = 4572
5672 > 45
72 , and so . 79 > 5
8
Write as fractions with common denominators.
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 5: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/5.jpg)
Additional Example 1B: Comparing Fractions
Compare the fractions. Write < or >.B. 2
537– –
25– = –2 · 7
5 · 7 = –14 35
37– = –3 · 5
7 · 5 = –15 35
– 1435 > – 15
35 , and so – > .25 – 3
7
Write as fractions withcommon denominators.Put the negative signs in the numerators.
Both fractions can be written with a denominator of 35.
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 6: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/6.jpg)
Compare the fractions. Write < or >.
A. 56
78
Both fractions can be written with a denominator of 48.56 = 5 · 8
6 · 8 = 4048
78 = 7 · 6
8 · 6 = 4248
4048 < 42
48 , and so . 56 < 7
8
Write as fractions with common denominators.
Try This: Example 1A
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 7: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/7.jpg)
Compare the fractions. Write < or >.B. 6
857– –
68– = –6 · 7
8 · 7 = –42 56
57– = –5 · 8
7 · 8 = –40 56
– 4256 < – 40
56 , and so – < .68 – 5
7
Write as fractions withcommon denominators.Put the negative signs in the numerators.
Try This: Example 1B
Both fractions can be written with a denominator of 56.
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 8: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/8.jpg)
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.
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 9: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/9.jpg)
Compare the decimals. Write < or >.
Additional Example 2: Comparing Decimals
0.427 0.425
0.427
0.425
0.427 > 0.425
Line up the decimal points.The tenths and hundredths arethe same.Compare the thousandths:
7
57 > 5.
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 10: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/10.jpg)
Compare the decimals. Write < or >.
0.535 0.538
0.535
0.538
0.535 < 0.538
Line up the decimal points.The tenths and hundredths arethe same.Compare the thousandths:
5
85 < 8.
Try This: Example 2
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 11: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/11.jpg)
Order the numbers from least to greatest.Additional Example 3: Ordering Fractions and Decimals
45 0.93, and 0.9 ,
45 = 0.80
Graph the numbers on a number line.
0 0.2 0.4 0.6 0.8 1
0.93
Write as decimals with the same number of places.
0.93 = 0.93 0.9 = 0.90
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 12: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/12.jpg)
Additional Example 3 Continued
The values on a number line increase as we move from left to right.
0.80 < 0.90 < 0.93
45 , 0.9, 0.93
Place the decimals in order.
Order the numbers from least to greatest.45 0.93, and 0.9 ,
0 0.2 0.4 0.6 0.8 1
0.93
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 13: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/13.jpg)
Order the numbers from least to greatest.Try This: Example 3
35 0.84, and 0.7 ,
35 = 0.60
Graph the numbers on a number line.
0 0.2 0.4 0.6 0.8 1
0.84
Write as decimals with the same number of places.
0.84 = 0.84 0.7 = 0.70
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 14: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/14.jpg)
Try This: Example 3 Continued
The values on a number line increase as we move from left to right.
0.60 < 0.70 < 0.84
35 , 0.7, 0.84
Place the decimals in order.
Order the numbers from least to greatest.35 0.84, and 0.7 ,
0 0.2 0.4 0.6 0.8 1
0.84
Course 2
3-10 Comparing and Ordering Rational Numbers
![Page 15: 3-10 Comparing and Ordering Rational Numbers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation](https://reader036.vdocument.in/reader036/viewer/2022062504/5a4d1b787f8b9ab0599b7db3/html5/thumbnails/15.jpg)
Lesson Quiz: Part 1
Choose the greater number.
1.
Place the numbers in order from least to greatest
3. 0.3, 0.32, 0.312
Insert Lesson Title Here
0.3, 0.312, 0.32
37 or 4
1058 or 2
32. 23
37
56 , 0.8, 0.826 0.8, 0.826, 5
64.
Course 2
3-10 Comparing and Ordering Rational Numbers
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Lesson Quiz: Part 25. Dana’s cross-country team is getting ready for
a big meet. On Monday they ran 3.7 miles, on Tuesday they ran 3 miles, and on Wednesday they ran miles. On which day did they run the greatest distance? Monday
Insert Lesson Title Here
3811
4
Course 2
3-10 Comparing and Ordering Rational Numbers