1. 3.1 Review
What’s used to show a decimal is repeating? Change the fraction 7/8 into a decimal using long division.
Compare .75 ____ 1/4

2. 3.2 Rational Numbers
Objective: Students will be able to change a mixed fraction into an improper one. They will be able to reduce fractions. Finally, they will be able to change a decimal (terminating/repeating) into fraction.

3. Information Rational Number: number written as quotient (fraction).
2 characteristics
Terminates: remainder is zero
Repeats
Rational numbers are “nice” numbers.

4. Write number as a (quotient) fraction7
-11
3 ¾
-5 ½

5. St: Write as (quotient) fraction20
4 7/10 52
-2 3/7 2
2 4/7

6. Simplifying Fractions
4/6
15/25
3/9
12/36

7. Simplifying Fractions
10/35
8/24
15/33
7/21
9/45
1/9

8. Decimal to fractions Terminating decimal: Ex: .34
Put number over place value
Reduce
Ex: .34
Repeating decimal (if repeating bar over whole decimal):
Put number over place value but subtract 1 from place value.
Ex: .6

9. St: change to fractions
.61
0.7
-1.33
.373

10. What to do if repeating not over whole decimal.
THIS IS VERY TRICKY!!!! PAY ATTENTION!!!!
.065
.07

11. Identify correctly
Whole number: positive whole numbers, natural numbers. 0, 1, 2, 3,….
Integers: pos. / neg. whole numbers. -1, 0, 1,….
Rational: fractions, repeating, terminating numbers. -9 14
9.6

12. Identify as whole, integer, and/or rational number9 .6 -6
.55
9 6/7

13. Wrap up
Questions/Comments
Hw: workbook pg. 29