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Place value means that a digit is worth more or less depending on where it stands. In 4,318 the 3 is worth 300; in 4,381 it is worth 300 too, but the 8 has changed from 8 to 80. Expanded form asks the child to break a number into such parts: 4,318 = 4,000 + 300 + 10 + 8.
Numbers follow the Indian system here: ones, tens, hundreds, thousands, ten thousands, lakhs, with commas as 1,00,000.
Tips for parents and teachers
- Draw a place value chart (Th, H, T, O) on top of the sheet and let the child write the digits in it first.
- Zeros need care: 4,008 is 4,000 + 8. There are no hundreds and no tens to write.
- Mix both types over a week. Expanded form builds the idea; the underlined digit checks it.
Ready settings by class
Common questions
What is the difference between face value and place value?
The face value of a digit is the digit itself. The place value is the digit multiplied by the value of its place. In 4,318 the face value of 3 is 3 and its place value is 300.