Math 6 High (Period3)

Connecting Decimals &  Fractions 2.8 

Verbal --> fraction--> decimal
3/4 to figure out what the decimal equivalence is you need to divide 3 by 4

3/4 = 0.75

But what about 5/3
5/3 = 1.666666...
It is a repeating decimal
we write
5/3 = 1.6 with a bar over the 6

The bar is called a vinculum.
Write the repeating part only once and put the vinculum ( bar) over the repeating part of the decimal.

2/7 was an interesting decimal
we found that 2/7 = 0.285714285714....
We then talked about the 1/7th family and noticed that
1/7 = .142857142857....
2/7 = .285714285714...
3/7= .428571428571...
4/7= .571428571428...
5/7= .714285714285....
6/7 = .857142857142...
all are repeating decimals with the same 6 digits in the same order... just the starting number changed...

But the textbook asked us to round 2/7 to the nearest thousands.. so we divide to the ten thousands  and found we had
0.2857 so we look to the place past the thousandths place and since it was a 7 we rounded up and dropped the digits past the thousandths place.
2/7 rounds to 0.286

Next, the textbook ased us to plot the following on a number line
2.4, 3.2, 4/5  3 2/5 and 11/5

Change all to decimals and the plot on a number line We found that 4/5 = 8/10 = 0.8
3 2/5 = 3 4/10 = 3.4 and 11/5 =  2 1/5 = 2 2/10 = 2.2
Then it became easy to plot on a number line

How do you write 2.5 as a mixed number ?  2 1/2
How about 0.125?

read it it is 125/1000  Then use divisibility rules what goes into 125 and 1000? 5 does but wait-- so does 25...
5/40  but that can be simplified because 5 goes into 5 and 40 so 5/40 = 1/8