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Place value can be defined as the value represented by a digit in a number based on its position in the number. Every digit in a number has a place value.
The place value of ones digit is the same unit digit number. The place value of tens digit is the tens digit number times \(10\). The place value of hundreds digit is the hundreds digit number times \(100\), and so on.
Example:
We have a number \(423\).
This can be written in place order as follows:
Hundreds (H) | Tens (T) | Ones (O) |
\(100\) | \(10\) | \(1\) |
\(4\) | \(2\) | \(3\) |
Place value of \(4 = 4 × 100 = 400\)
Place value of \(2 = 2 × 10 = 20\)
Place value of \(3 = 3 × 1 = 3\)
Important!
Recall the following:
\(1\) tens \(= 10\) ones.
\(10\) tens \(= 1\) hundreds \(= 100\) ones.
\(1\) thousand \(= 10\) hundreds \(= 100\) tens.
\(1\) lakh \(= 100\) thousands \(= 1000\) hundreds.
\(1\) crore \(= 100\) lakhs \(= 10,000\) thousands.
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