1. Section 2-7, “Comparing and Ordering Rational and Irrational 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. Compare the Following Fractions by finding the LCD
<
>
<

5. Compare the Following Fractions by converting to decimals
<
>
<

6. < > “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

7. 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
0.7
0.7011
0.7011
0.7011
0.7011
0.7
0.7000
0.7
0.71
0.71
0.7100
0.70
0.70
0.70
0.7070
0.71
0.7
0.7777
0.7
0.7

8. 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.

9. 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.