Strong understanding of decimals place value!
As you study this lesson, you will discover that decimals place value is similar to place value
of whole numbers.
Study the following diagram carefully. You should see some similarity with place value for whole numbers
The place value for 4 is the tenths.
Note that 1 tenth = 0.1 or
,so 4 tenths means 4 × 0.1 or 0.4
Note also that the place value for 2 is the thousandths
1 thousandth = 0.001 or
,so 2 thousandths means 2 × 0.001 or 0.002
There is another way to look at it!
Write down the 2, then replace all numbers on the left of 2 with a zero
The last number that will be replaced with a zero is the one right before the decimal point
You will get the same answer: 0.002
Find the name of the place for each underlined digit.
4 is in the tenths
5 is in the thousandths
0 is in the hundredths
What is the value
of each of the underlined numbers above?
5, the value of 4 is 0.4
, the value of 5 is 0.005
477, the value of 0 is 0.00 and a bunch of zeros like these is of course not interesting since is is just 0!