Title: Warm Up
1Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
2Warm Up Write each fraction as a decimal.
1 3
45
2.
0.8
1.
3 4
23
3.
0.75
4.
3Problem of the Day How much pie do you have if
you take 2 of 5 total pieces?
0.4 pie
4Learn to compare and order positive and negative
rational numbers written as fractions, decimals,
and integers.
5Vocabulary
least common denominator (LCD)
6To 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.
7Remember!
The least common multiple (LCM) of two numbers is
the smallest number, other than 0, that is a
multiple of both numbers.
8Additional 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.
9Additional 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.
10Check 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.
11Check 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.
12Additional 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.
13Additional 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.
14Check It Out Example 2A
Compare. Write lt, gt, or .
_
3 5
lt
A. 4 4
Write the fractions as decimals.
Compare the decimals.
15Check It Out Example 2B C
Compare. Write lt, gt, or .
B. 0.80
Compare the decimals.
C. 0.8
gt
Compare the decimals.
16To 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.
17Additional Example 3 Social Studies Application
6.0 ?
2.5 ?
18Check It Out Example 3
3.0 ?
2.2 ?
19Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
20Lesson 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
21Lesson Quiz for Student Response Systems
1. Identify the correct sign to compare. A.
lt B. C. gt D.
1 5
1 7
22Lesson Quiz for Student Response Systems
2. Identify the correct sign to compare.
0.498 A. lt B. gt C. D.
3 7
23Lesson Quiz for Student Response Systems
3. Identify the correct sign to compare. 3
3 A. lt B. C. gt D.
5 8
4 9
24Lesson 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