Math 6 H (Period 3)

Comparing and Ordering Decimals 1.5

It is really important to read  decimals correctly:
3.4 is Three and four tenths
3.04 is three and four hundredths
30.40 is thirty and forty hundredths

We graphed 2.6 on the numberline and noticed that we placed a dot directly on the numberline at 2.6
< means "is less than"
> means "Is greater than"
5<8 8="8" and="and"> 5  notice the distinctions 
Put the following in order from least to greatest
2.3,   2.09,  2.32, 2.27, 2.37
In order to compare decimals, we compare the digits in the place farthest to the left where the decimals have different digits.
First stack them
To make it easier to compare, first express 2.3  to the same number of decimal places as the rest of the numbers.
2.30
2.09
2.32
2.27
2.37

All of them have a 2 in the units place so we look at the tenths place and notice  2.09 is the smallest
cross that number out and look again at the tenths place.
the next smallest is then 2.27
Now we are left with
2.30
2.32
2.37

The all have a 3 in the tenth's place so we look at the hundredths and notice that 2.30 would be the next in order. Then 2.32 and thus, 2.37 is the largest of the numbers so in order
2.09 < 2.27 < 2.3 <  2.32 <2 .37=".37" p="p">
How would you write One and thirty-five thousandths
1._ _ _   put the place value underlined so you know how far to start then look again at the decimal portion
that is thirty-five thousandths
so
1.035

What about One and three hundred five ten-thousandths?
1._ _ _ _
so
1.0305