In our everyday life, we often need to measure things very accurately. Sometimes, a small difference in length or size can make a big difference in how things fit or work.
 
For example:
  • A toy might not work if the screw is just a little too short or too long.
  • A machine part might not fit if the measurement is slightly off.
  • A fish or an insect might be only a tiny bit longer than another, but that matters in science.
Now, learn about the place values of the decimal part.
The first digit which placed after a decimal point is called tenths place. The tenth place is \(\frac{1}{10}\) of the number.
 
The second digit which placed after a decimal point is called the hundredth place. The hundredth place is 1100.
Place value_3.png
 
We can also show decimals using blocks.
1. Hundreds block have \(100\) boxes.
 
2. Tens block have \(10\) boxes.
 
3. Ones block have \(1\) box.
 
4. Tenths block have 110 boxes of ones block.
 
5. Hundredths block have 1100 boxes of ones block.
Decimal block_2.png
 
In the above image:
 
\(2\) hundreds box + \(3\) tens box + \(5\) ones box + \(4\) tenths box + \(2\) hundredths box
 
200+30+5+410+2100=235.42
 
This number can be read as "two hundred thirty-five and forty-two hundredth".
 
It also can be read as "two hundred thirty-five point four two".
 
This also can be represented in the place value table.
 
Place value_6.png
The third digit which placed after a decimal point is called the thousandth place. The thousandth place is 11000.
Important!
\(\frac{1}{10}\) means \(1\) part out of \(10\) parts of a whole.
 
1100 means \(1\) part out of \(100\) parts of a whole.
 
11000 means \(1\) part out of \(1000\) parts of a whole.