Warm Up

1
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
2
Warm Up Write each fraction as a decimal.
1 3
45
2.
0.8
1.
3 4
23
3.
0.75
4.
3
Problem of the Day How much pie do you have if
you take 2 of 5 total pieces?
0.4 pie
4
Learn to compare and order positive and negative
rational numbers written as fractions, decimals,
and integers.
5
Vocabulary
least common denominator (LCD)
6
To compare or order rational numbers, first write
them in the same form. To compare fractions, find
a common denominator. This could be the least
common denominator (LCD), which is the least
common multiple of the denominators.
7
Remember!
The least common multiple (LCM) of two numbers is
the smallest number, other than 0, that is a
multiple of both numbers.
8
Additional Example 1A Comparing Fractions by
Finding a Common Denominator
Compare. Write lt, gt, or .
5 6
7 10
gt
Method 1 Multiply to find a common denominator.
Multiply 6 and 10 to find a common denominator.
6 ? 10 60
Write the fractions with a common denominator.
Compare the fractions.
9
Additional Example 1B Comparing Fractions by
Finding a Common Denominator
Compare. Write lt, gt, or .
2 3
4 5
gt
Method 2 Find the least common denominator.
List multiples of 3 and 5. The LCM is 15.
3 3, 6, 9, 12, 15 5 5, 10, 15
Write the fractions with a common denominator.
Compare the fractions.
10
Check It Out Example 1A
Compare. Write lt, gt, or .
1 2
2 5
gt
Method 1 Multiply to find a common denominator.
Multiply 2 and 5 to find a common denominator.
2 ? 5 10
Write the fractions with a common denominator.
Compare the fractions.
11
Check It Out Example 1B
Compare. Write lt, gt, or .
2 3
3 4
gt
Method 2 Find the least common denominator.
List multiples of 3 and 4. The LCM is 12.
3 3, 6, 9, 12, 4 4, 8, 12
Write the fractions with a common denominator.
Compare the fractions.
12
Additional Example 2A Comparing by Using
Decimals
Compare. Write lt, gt, or .
_
2 7
lt
A. 5 5
Write the fractions as decimals.
Compare the decimals.
13
Additional Example 2B 2C Comparing by Using
Decimals
Compare. Write lt, gt, or .
lt
B. 0.44
Compare the decimals.
C. 0.1
gt
Compare the decimals.
14
Check It Out Example 2A
Compare. Write lt, gt, or .
_
3 5
lt
A. 4 4
Write the fractions as decimals.
Compare the decimals.
15
Check It Out Example 2B C
Compare. Write lt, gt, or .

B. 0.80
Compare the decimals.
C. 0.8
gt
Compare the decimals.
16
To order fractions and decimals, you can either
write them all in the same form and then compare
them, or place them on a number line.
17
Additional Example 3 Social Studies Application
6.0 ?
2.5 ?
18
Check It Out Example 3
3.0 ?
2.2 ?
19
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
20
Lesson Quiz
Compare. Write lt, gt, or .
1 3
1.
gt
2. 0.29
gt
3. 2 2
4. Sarah competed in a long-jump contest.
Her first jump was 3.75 m, her second jump was 3
m, and her third jump was 3 m. Which jump
was the longest?
second jump
21
Lesson Quiz for Student Response Systems
1. Identify the correct sign to compare. A.
lt B. C. gt D.
1 5
1 7
22
Lesson Quiz for Student Response Systems
2. Identify the correct sign to compare.
0.498 A. lt B. gt C. D.
3 7
23
Lesson Quiz for Student Response Systems
3. Identify the correct sign to compare. 3
3 A. lt B. C. gt D.
5 8
4 9
24
Lesson Quiz for Student Response Systems
4. Paul competed in a shot put contest.
His first throw was 6 m, his second
throw was 6.78 m, his third throw was 6 m,
and his fourth throw was 6.59 m. Which was his
longest throw? A. first B. second C. third D.
fourth
4 9
8 9