1. Fractions, Decimals and Percents
Lesson 3.1

2. Fractions to decimals
Numbers can be written in both fraction and decimal form. For example: 3 can be written as 3/1 and 3.0 A fraction illustrates division 1/10 means 1÷10 1/10 in decimal form is .1

3. Review of decimals 63.165 Fraction 7/10 1/100 19/100 1/1000 23/1000
471/1000
Decimal
Each decimal place has a name.
Tenths – the first number after the decimal
Hundredths – the second number after the decimal
Thousandths – the third number in the decimal
63.165

4. Terminating decimals
Decimals that have a definite number of decimal places are called terminating decimals.
Examples: 0.1, 0.25, 0.94
These decimals always end.

5. Repeating decimals
When digits repeat themselves forever, they are called repeating decimals.
Examples are: , ,
Repeating decimals have a bar drawn over the digits that repeat.
4/33 = can be written as 0.12

6. Patterns Patterns can occur when we write fractions in decimal form.
Example: 1/99 = 0.01, 2/99 = 0.02,
15/99 = 0.15, 43/99 = __________
For fractions with a denominator of 99, the digits in the numerator of the fraction are the repeating digits in the decimal.

7. Finding the decimal...
If I have a fraction with a denominator of 10, the numerator is the decimal to the tenths place.
Example: 1/10 = .1
3/10 = .3
7/10 = ________
The decimal is a terminating decimal with one decimal place (the tenths place)

8. Hundreds...
If the fraction has a denominator of 100, the numerator is the decimal to the hundredths place.
Example: 26/100 = .26
72/100 = .72
39/100 = ________
If the fraction is less than 10/100, the first number after the decimal is a 0.
Example: 7/100 = .07
9/100 = ____________

9. Thousands...
If the denominator is 1000, the numerator is the decimal to the thousandths place.
Example: 576/1000 = .576
112/1000 = .112
423/1000 = _________
If the number is less than 100, the first number after the decimal is a 0. Ex. 98/1000 = .098
If the number is less than 10, the first two numbers after the decimal are 0. Ex. 8/1000 = .008

10. Converting fractions to decimals...
What if I get a fraction without a 10, 100, or 1000?
First, ask yourself if the denominator can be changed to a 10, 100, or 1000.
For example: 1/5
Can the denominator be changed to a 10?
YES! Multiply 5 x 2. Then, what you do to bottom, you do to the top! Multiply 1 x 2. Your new fraction is 2/10...
What is the decimal value?

11. Or try this...
20/50 – Can 50 turn into 100?
YES! Multiply 50 x 2 = 100, multiply 20 x 2 = New fraction = 40/100...
What is the decimal value?

12. Or how about this?
90/200?
Multiply 200 x 5 = 1000 and 90 x 5 = 450
New fraction = 450/1000
What is the decimal?

13. Find equivalent fractions with denominators of 10, 100 or 1000 for the following fractions. Then, find the decimal value.
6/20
18/25
40/50
60/200

14. AHH! There is no equivalent!
9/40...I cannot turn this into a fraction with a denominator of 10, 100 or NOW WHAT??
Remember long division??
Yes, you need to know how.

15. 10/15
We cannot turn 15 into 10, 100 or 1000, so, set up a long division question.
Remember, the 15 sits in the nook of the division sign and the 10 sits under the lid.
15√10
15 cannot go into 10, so follow the steps of long division to find your answer.

16. Division definitions...
Divisor – a number by which a number is going to be divided.
Dividend – the amount you want to divide up.
Quotient – the answer in a division question.

17. Extra reminder...
online.com/objects/ViewObject.aspx?ID=ABM 1001
This link will show you the steps of division.

18. Try converting these fractions to decimals using long division.
4/12
6/15
3/16

19. Homework
Workbook 3.1
Textbook Page #2,3,4,5,10,11,REFLECT