1. Lesson1 Terminating and Repeating Decimals

2. Lesson 1: Terminating and Repeating Decimals
Objective: SWBAT write fractions as decimals and decimals as fractions. Do Now: Worksheet #1 - 7

3. Lesson 1: Terminating and Repeating Decimals
Definitions
Terminating decimal has a finite number of digits
after the decimal point.
Repeating decimal has an infinite number of
digits after the decimal point and has a pattern.
Bar Notation is used to represent repeating
decimals.

4. Lesson 1: Terminating and Repeating Decimals
1/1 =
1/2 =
1/3 =
2/3 =
1/4 =
2/4 =
3/4 =
1/5 =
2/5 =
3/5 =
4/5 =
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
1/7 =
2/7 =
3/7 =
4/7 =
5/7 =
6/7 =
1/8 =
2/8 =
3/8 =
4/8 =
5/8 =
6/8 =
7/8 =
1/9 =
2/9 =
3/9 =
4/9 =
5/9 =
6/9 =
7/9 =
8/9 =
1/10 =
2/10 =
3/10 =
4/10 =
5/10 =
6/10 =
7/10 =
8/10 =
9/10 =

5. Lesson 1: Terminating and Repeating Decimals
1/1 =
1/2 =
1/3 =
2/3 =
1/4 =
2/4 =
3/4 =
1/5 =
2/5 =
3/5 =
4/5 =
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
1/7 =
2/7 =
3/7 =
4/7 =
5/7 =
6/7 =
1/8 =
2/8 =
3/8 =
4/8 =
5/8 =
6/8 =
7/8 =
1/9 =
2/9 =
3/9 =
4/9 =
5/9 =
6/9 =
7/9 =
8/9 =
1/10 = .1
2/10 = .2
3/10 = .3
4/10 = .4
5/10 = .5
6/10 = .6
7/10 = .7
8/10 = .8
9/10 = .9

6. Lesson 1: Terminating and Repeating Decimals
1/1 =
1/2 =
1/3 =
2/3 =
1/4 =
2/4 =
3/4 =
1/5 =
2/5 =
3/5 =
4/5 =
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
1/7 =
2/7 =
3/7 =
4/7 =
5/7 =
6/7 =
1/8 =
2/8 =
3/8 =
4/8 =
5/8 =
6/8 =
7/8 =
1/9 =
.111…
2/9 =
.222….
3/9 =
.333…
4/9 =
.444…
5/9 =
.555…
6/9 =
.666…
7/9 =
.777…
8/9 =
.888…
1/10 = .1
2/10 = .2
3/10 = .3
4/10 = .4
5/10 = .5
6/10 = .6
7/10 = .7
8/10 = .8
9/10 = .9

7. Lesson 1: Terminating and Repeating Decimals
1/1 =
1.0
1/2 = .5
1/3 =
.333…
2/3 =
.666…
1/4 =
2/4 =
3/4 =
1/5 =
2/5 =
3/5 =
4/5 =
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
1/7 =
2/7 =
3/7 =
4/7 =
5/7 =
6/7 =
1/8 =
2/8 =
3/8 =
4/8 =
5/8 =
6/8 =
7/8 =
1/9 =
.111…
2/9 =
.222….
3/9 =
4/9 =
.444…
5/9 =
.555…
6/9 =
7/9 =
.777…
8/9 =
.888…
1/10 = .1
2/10 = .2
3/10 = .3
4/10 = .4
5/10 =
6/10 = .6
7/10 = .7
8/10 = .8
9/10 = .9

8. Lesson 1: Terminating and Repeating Decimals
1/1 =
1.0
1/2 = .5
1/3 =
.333…
2/3 =
.666…
1/4 =
.25
2/4 =
3/4 =
.75
1/5 = .2
2/5 = .4
3/5 = .6
4/5 = .8
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
1/7 =
2/7 =
3/7 =
4/7 =
5/7 =
6/7 =
1/8 =
2/8 =
3/8 =
4/8 =
5/8 =
6/8 =
7/8 =
1/9 =
.111…
2/9 =
.222….
3/9 =
4/9 =
.444…
5/9 =
.555…
6/9 =
7/9 =
.777…
8/9 =
.888…
1/10 = .1
2/10 =
3/10 = .3
4/10 =
5/10 =
6/10 =
7/10 = .7
8/10 =
9/10 = .9

9. Lesson 1: Terminating and Repeating Decimals
1/1 =
1.0
1/2 = .5
1/3 =
.333…
2/3 =
.666…
1/4 =
.25
2/4 =
3/4 =
.75
1/5 = .2
2/5 = .4
3/5 = .6
4/5 = .8
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
1/7 =
2/7 =
3/7 =
4/7 =
5/7 =
6/7 =
1/8 =
.125
2/8 =
.250
3/8 =
.375
4/8 =
.500
5/8 =
.625
6/8 =
.750
7/8 =
.875
1/9 =
.111…
2/9 =
.222….
3/9 =
4/9 =
.444…
5/9 =
.555…
6/9 =
7/9 =
.777…
8/9 =
.888…
1/10 = .1
2/10 =
3/10 = .3
4/10 =
5/10 =
6/10 =
7/10 = .7
8/10 =
9/10 = .9

10. Lesson 1: Terminating and Repeating Decimals
1/1 =
1.02
1/2 = .5
1/3 =
.333…
2/3 =
.666…
1/4 =
.25
2/4 =
3/4 =
.75
1/5 = .2
2/5 = .4
3/5 = .6
4/5 = .8
1/6 =
2/6 =
3/6 =
4/6 =
5/6 =
.8333….
1/7 = …
2/7 = …
3/7 = …
4/7 = …
5/7 = …
6/7 = …
1/8 =
.125
2/8 =
.250
3/8 =
.375
4/8 =
.500
5/8 =
.625
6/8 =
.750
7/8 =
.875
1/9 =
.111…
2/9 =
.222….
3/9 =
4/9 =
.444…
5/9 =
.555…
6/9 =
7/9 =
.777…
8/9 =
.888…
1/10 = .1
2/10 =
3/10 = .3
4/10 =
5/10 =
6/10 =
7/10 = .7
8/10 =
9/10 = .9

11. Lesson 1: Terminating and Repeating Decimals
Any fraction can be expressed as a decimal by dividing the numerator by the denominator. Example 1: If the repeating digit is zero, the decimal is a terminating decimal. 1 = .5 1 = = .2 1 =

12. Lesson 1: Terminating and Repeating Decimals
Example 2: If the repeating digit is not zero, the decimal is a repeating decimal. 1 = .3333… = .2222… = … =

13. Lesson 1: Terminating and Repeating Decimals
If denominator is a factor of 10, 100, 1000 there is no need to use division. Words Fraction Decimal Seven tenths Nineteen hundredths One-hundred five thousandths

14. Lesson 1: Terminating and Repeating Decimals
Words Fraction Decimal Seven tenths 7/10 .7 Nineteen hundredths 19/ One-hundred five 105/ thousandths

15. Lesson 1: Terminating and Repeating Decimals
If denominator is a factor of 9, 99, 999 there is no need to use division. Words Fraction Decimal Five ninths Twelve ninety-nine hundredths One-hundred three nine hundred ninety-nine thousandths

16. Lesson 1: Terminating and Repeating Decimals
If denominator is a factor of 9, 99, 999 there is no need to use division. Words Fraction Decimal Five ninths 5/9 .5 Twelve ninety-nine hundredths 12/ One-hundred three 103/ nine hundred ninety-nine thousandths

17. Lesson 1: Terminating and Repeating Decimals
Write the fraction or mixed number as a decimal. 1. 2. 3. 5
5. 1

18. Lesson 1: Terminating and Repeating Decimals6. 7. -6
9. 12
10.

19. Lesson 1: Terminating and Repeating Decimals
12.
13. -
15.

20. Lesson 1: Terminating and Repeating Decimals2.
3. - 4. 5.

21. Lesson 1: Terminating and Repeating Decimals
_1_ 12 3 7
_2_ 15

22. Lesson 1: Terminating and Repeating Decimals
Write each terminating decimal as a fraction in simplest form. .4

23. Lesson 1: Terminating and Repeating Decimals
Write each repeating decimal as a fraction in simplest form. …… …… ….
……….
…….

24. Real-World Problem There are .15 goldfish and .4 angelfish in the
aquarium. Write the fraction that represents
how many goldfish and angelfish are in the
aquarium.

25. Classwork Guided Practice #1-5 Independent Practice #1-17
Problem Solving Practice # 1- 6

26. Closure
Question: What number do you use in the denominator when writing terminating and repeating decimals to fractions? Exit Ticket Homework: Practice #1 -26

27. Exit Ticket Write each fraction as a decimal. 18 2. 7 25 9
Write each decimal as a fraction.

28. Homework