1. Section 2-7, “Comparing and Ordering Rational Numbers”
A RATIONAL NUMBER is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator.

2. “Rational Numbers” Rational Numbers Rational Numbers numbers that can
represented as a
ratio or fraction
Integers
Integers
-3,-2,-1, 0,1,2,3…
Whole Numbers
Whole Numbers
0,1,2,3,4,5…

3. What Do You See?
“EQUIVALENT FRACTIONS”

4. “Comparing Fractions”
Compare the fractions and
When two fractions have different denominators, write equivalent fractions with common denominators. Then compare the numerators. =
Same denominator,
now compare
numerators
Therefore, 4/5 is
greater 3/4. =

5. Comparing and Ordering Different Forms of Numbers
To make ordering easy, first convert all the numbers to the same form.
Usually, the simplest to convert the numbers to is decimals.

6. Comparing and ordering numbers
To convert a fraction to a decimal, type the fraction in your calculator, hit enter. Then hit the 2nd button, followed by the PRB button.
To change a percent to a decimal, move the decimal point 2 places to the LEFT.
25% would become 0.25

7. Compare the Following Fractions
<
>
<

8. < > “Comparing Decimals” 0.81 0.84 0.34 0.342 0.81 0.343 0.84
To compare decimals, line up the decimal points and compare the digits from left to right until you find the place where the digits are different.
Compare the fractions. Write < or >.
Compare the fractions. Write < or >.
<
>
0.81
0.84
0.34
0.342
0.81
0.343
4 is greater than 1, so 0.84 is greater than 0.81
3 is greater than 2, so 0.34 is greater than 0.342
0.84
0.342

9. Order the Numbers from Least to Greatest
0.7011, 0.7, 0.71, 0.70, 0.7
Place numbers in order from least to greatest
Line up numbers by the decimal point
Write all decimals in the same place value
0.7011
0.7011
0.7011
0.7
0.7
0.7000
0.71
0.7100
0.71
0.70
0.70
0.7070
0.7
0.7
0.7777

10. Using a Number Line
Plot the numbers on a number line. Then order them from least to greatest.
0.2
0.4
0.5
0.625
0.67 1
1.5
1.5
In order them from least to greatest.

11. Using a Number Line
F D
Plot the numbers on a number line. Then order them from least to greatest.
0.3
0.21
0.5
0.6
0.6
0.85 1
1.5
In order them from least to greatest.