The number 87.65487.65487, point, 654 can be placed on a place value chart as follows:
Tens Ones . Tenths Hundredths Thousandths
888 777 ..point 666 555 444
Decimal place value
The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.
Example: 0.810.810, point, 81
The number 0.\blueD8\greenD10.810, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD is made up of \blueD88start color blueD, 8, end color blueD tenths and \greenD11start color greenD, 1, end color greenD hundredth.
We can also write this as:
0.\blueD8\greenD1=\blueD{0.8}+\greenD{0.01}0.81=0.8+0.010, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD, equals, start color blueD, 0, point, 8, end color blueD, plus, start color greenD, 0, point, 01, end color greenD
or
0.\blueD8\greenD1=\blueD{\dfrac8{10}}+\greenD{\dfrac1{100}}0.81=
10
8
+
100
1
0, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD, equals, start color blueD, start fraction, 8, divided by, 10, end fraction, end color blueD, plus, start color greenD, start fraction, 1, divided by, 100, end fraction, end color greenD
Or we can use a place value chart:
Ones . Tenths Hundredths
000 ..point \blueD88start color blueD, 8, end color blueD \greenD11start color greenD, 1, end color greenD
Want to learn more about decimal place value? Check out this video.
Want to review whole number place value? Check out this article.
Practice