1. Rational Numbers

2. Definition:
A rational number is a number that can be expressed as a ratio where a and b are integers and b≠0.

3. Visual:

4. (it can be written as a ratio).
Rational Numbers
Example:
1.5 is a rational number 
because 1.5 = 1½ = 3/2 
(it can be written as a ratio).

5. Rational or irrational? Prove it!
Rational Numbers
Rational or irrational? Prove it! ⅛
7.25 -8 e)
f) 35%
g) 0.3
h) …  

6. If x = 36 and y = 4, which of the following are rational? a) c) b) d)
Rational Numbers
If x = 36 and y = 4, which of the following are rational? a) c) b) d)

7. You can graph rational numbers on a number line.-¾ -½ 1⅛ -1 1

8. Rational Numbers
When comparing rational numbers, it is helpful to know the fraction- decimal equivalents. -¾ -½ 1⅛
-0.75
-0.5
0.25
0.5
1.125 -1 1

9. Which fraction-decimal equivalents do you know? List them.
Rational Numbers
Which fraction-decimal equivalents do you know? List them.

10. Basic Fraction to Decimal Equivalents to Know…
0.50 ⅓
0.33… ⅔
0.66…
0.25
2/4 = ½
0.75
1/5
0.20
1/10
0.10

11. Figure out the decimal equivalents for these fractions …
1/8
2/8
3/8
4/8
5/8
6/8
7/8
8/8

12. Write the correct symbol (>, < or =).
½ ___ 0.54
2/5 ___ 0.25
-3/10 ____ -0.4