Which is greater, or ? Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 5959 6 11 Rewrite...
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Which is greater, or ? Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 5 9 6 11 Rewrite each fraction with the denominator 9 • 11 = 99. Multiply the numerator and denominator by 11. 5 9 5 • 11 9 • 11 = Multiply. = 55 99 Multiply the numerator and denominator by 9. 6 11 6 • 9 11 • 9 = Multiply. 54 99 = Since 55 99 54 99 > , > 5 9 6 11 . 4-3
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Transcript of Which is greater, or ? Comparing and Ordering Rational Numbers COURSE 3 LESSON 4-3 5959 6 11 Rewrite...
Which is greater, or ?
Comparing and Ordering Rational NumbersComparing and Ordering Rational NumbersCOURSE 3 LESSON 4-3COURSE 3 LESSON 4-3
59
611
Rewrite each fraction with the denominator 9 • 11 = 99.
Multiply the numerator and denominator by 11.59
5 • 119 • 11=
Multiply.=5599
Multiply the numerator and denominator by 9.6
116 • 9
11 • 9=
Multiply. 5499=
Since5599
5499> , >
59
611 .
4-3
Which is greater, or ?
Comparing and Ordering Rational NumbersComparing and Ordering Rational NumbersCOURSE 3 LESSON 4-3COURSE 3 LESSON 4-3
718
512
Since the LCM of 18 and 12 is 36, the LCD of the fractions is 36.
Multiples of 18: 18, 36
Multiples of 12: 12, 24, 36
List multiples of each denominator to find their LCD.
Multiply the numerator and denominator by 2.7
187 • 2
18 • 2=
Simplify.1436=
4-3
(continued)
Comparing and Ordering Rational NumbersComparing and Ordering Rational NumbersCOURSE 3 LESSON 4-3COURSE 3 LESSON 4-3
Multiply the numerator and denominator by 3.5
125 • 3
12 • 3=
Simplify.1536=
Since1536
1436> , >
718 .
512
4-3
The Eagles won 7 out of 11 games while the Seals won 8
out of 12 games. Which team has the better record?
Comparing and Ordering Rational NumbersComparing and Ordering Rational NumbersCOURSE 3 LESSON 4-3COURSE 3 LESSON 4-3
Change each fraction to a decimal. Compare the two decimals.
Since 0.666 > 0.636, the Seals have the better record.
Divide. Use a calculator.Eagles:
711 0.636363
Seals:8
12 0.666667
4-3
Order –0.175, , – , 1.7, –0.95 from least to greatest.
Comparing and Ordering Rational NumbersComparing and Ordering Rational NumbersCOURSE 3 LESSON 4-3COURSE 3 LESSON 4-3
23
58
Then graph each decimal on a number line.
The order of the points from left to right gives the order of the numbers from least to greatest.
–0.95 < –0.625 < –0.175 < 0.667 < 1.7
So, –0.95 < – < –0.175 < < 1.7.23
58
4-3
Write each fraction as a decimal.
23 0.667
58 = –0.625–
Comparing and Ordering Rational NumbersComparing and Ordering Rational Numbers
Compare. Use <, >, or =.
1. 2.
3. 4. 0.35
5. Order 0.17, , –0.3, 0, and – from least to greatest.
< >
COURSE 3 LESSON 4-3COURSE 3 LESSON 4-3
= =
–0.3, – , 0, 0.17, 14
15
5 12
8 15
45
8 11
1550
36 120
7 20
15
14
4-3
