1. Comparing and Ordering Rational Numbers
2-11
Comparing and Ordering Rational Numbers
Course 2
Warm Up
Problem of the Day
Lesson Presentation

2. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Warm Up
Write each mixed number as an improper fraction.
1. 1
3. 1 3 4 7 8
2. 2 5 6 1 12
4. 8

3. Equivalent Fractions and Decimals
Course 2
2-10
Equivalent Fractions and Decimals
In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. The statistics on the next slide are for the 2004 Major League Baseball season.

4. Batting Average (thousandths)
Course 2
2-10
Equivalent Fractions and Decimals
Player
Hits
At Bats
Batting Average (thousandths)
Lance Berkman
Alex Rodriguez
Hits
at Bats
172
544
172
544
172 ÷ 544 ≈ 0.316
172
601
172
601
172 ÷ 601 ≈ 0.286
To convert a fraction to a decimal, divide the numerator by the denominator.

5. Terminating Decimals 2-10 Equivalent Fractions and Decimals
Course 2
2-10
Equivalent Fractions and Decimals
Write each fraction as a decimal. Round to the nearest hundredth, if necessary. Example: 1 4 9 5 A. B.
These are called
Terminating Decimals
Because the decimals come to an end.

6. Insert Lesson Title Here
Course 2
2-10
Equivalent Fractions and Decimals
Insert Lesson Title Here
Write each fraction as a decimal. Round to the nearest hundredth, if necessary. Examples: 5 3 7 3 e. f.
Repeating Decimals
These are called
Because the decimal repeats the pattern forever.

7. Equivalent Fractions and Decimals
Course 2
2-10
Equivalent Fractions and Decimals
You should write a repeating decimal with a bar over the repeating part. For example:
0.333… = 0.3
0.8333… = 0.83
… = 0.72

8. Use Mental Math to Write Fractions as Decimals
Course 2
2-10
Equivalent Fractions and Decimals
Use Mental Math to Write Fractions as Decimals
Write each fraction as a decimal.
4 5
3 5 A. c.
37 50
18 25 B. d.

9. Equivalent Fractions and Decimals
Course 2
2-10
Equivalent Fractions and Decimals
Write each decimal as a fraction in simplest form. A
B. 1.55
You read the decimal as “eighteen thousandths.”
Reading Math

10. Insert Lesson Title Here
Course 2
2-10
Equivalent Fractions and Decimals
Insert Lesson Title Here
Write each decimal as a fraction in simplest form. C
D. 1.30

11. Learn to compare and order fractions and decimals.
Course 2
2-11
Comparing and Ordering Rational Numbers
Learn to compare and order fractions and decimals.

12. Insert Lesson Title Here
Course 2
2-11
Comparing and Ordering Rational Numbers
Insert Lesson Title Here
Vocabulary
rational number

13. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers 7 9 2 9
Which is greater, or ?
When two fractions have the same
denominator, just compare the numerators. 7 9 2 9
>
because 7 > 2. 7 9 = 2 9 =

14. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Compare the fractions. Write < or >. 7 9 11 15
Using LCM

15. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Compare the fractions. Write < or >. 2 5 3 7 – –
Using LCM

16. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Now, YOU try!
Compare the fractions. Write < or >. 5 6 7 8

17. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Now, YOU try!
Compare the fractions. Write < or >. 6 8 5 7 – –

18. Course 2
2-11
Comparing and Ordering Rational Numbers
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.

19. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Compare the decimals. Write < or >.
0.427
0.425
Line up and check from left to right

20. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Compare the decimals. Write < or >.
0.73
0.734

21. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Now, YOU try!
Compare the decimals. Write < or >.
0.535
0.538

22. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Now, YOU try!
Compare the decimals. Write < or >.
0.3
0.334

23. Course 2
2-11
Comparing and Ordering Rational Numbers
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.

24. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers
Click through 4 5
Order ,
0.93, and 0.9 from least to greatest.
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 < 0.90 < 0.93
Compare the decimals in order. 4 5
From least to greatest, the numbers are , 0.9, 0.93.

25. Comparing and Ordering Rational Numbers
Course 2
2-11
Comparing and Ordering Rational Numbers 3 5
Click through
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 < 0.70 < 0.84
Compare the decimals in order. 3 5
From least to greatest, the numbers are , 0.7, 0.84.

26. Insert Lesson Title Here
Course 2
2-11
Comparing and Ordering Rational Numbers
Insert Lesson Title Here
Lesson Quiz
Compare the fractions. Write > or <. 1.
Compare the decimals. Write < or >.
and 0.312 3 7 4 10 5 8 2 3 or
> 2.
< or
> 5 6
4. Order , 0.8, from least to greatest.
0.8, 0.826, 5 6