-‐ Convert repeating decimals into their fraction equivalent using

August 28, 2013
8/28/12
8/28/12
Warm Up:
Fill in the following place values
What about
.25
and
-­‐ Convert repeating decimals into their fraction equivalent using patterns or algebraic reasoning.
Let's look at the following:
1
4
What can you tell me about these?
.333
and
1
3
What can you tell me about these?
August 28, 2013
What if I only gave you:
3
4
What if I only gave you:
.60
What would the fraction be?
What would the decimal be?
How do you know?
How do you know?
Now let's try it: Convert the following
.80
5
6
.325
4
9
August 28, 2013
Quick Check:
Convert to a decimal:
1) 6/7
2) 8/14
Convert to a fraction:
3) .4
4) .77777.......
Class Work
Complete the worksheet you
have been given.
August 28, 2013
Ticket Out:
Order the following rational numbers from least
to greatest.
Look at .1111111.....
Let's try converting this to a fraction. We are going to
use the algebraic method.
1.70, 16, -3.2, 0, 4, - 9 , 1 2 - 4
3
5
now let's try .545454....
what about .727272....
August 28, 2013
now you try .8888888.....