Revisiting place value

The expansion of a 2-digit number like 78 is done as

78 = 70 + 8 = 7 × 10 + 8

The expansion of a 3-digit number like 278 is done as

278 = 200 + 70 + 8 = 2 × 100 + 7 × 10 + 8

We say, here, 8 is at onestenshundreds place, 7 is at tensoneshundreds place and 2 at hundredsonestens place.

Extending to 4-digit numbers.

For example, the expansion of 5278 is

5278 = 5000 + 200 + 70 + 8 = 5 × 1000 + 2 × 100 + 7 × 10 + 8

Here, 8 is at ones place, 7 is at tens place, 2 is at hundreds place and 5 is at thousandshundredstens place.

With the number 10000 known to us, we may extend the idea further. We may write 5-digit numbers like

45278 = + + + +

= 4 × 10000 + 5 × 1000 + 2 × 100 + 7 × 10 + 8

We say that here 8 is at ones place, 7 at tens place, 2 at hundreds place, 5 at thousands place and 4 at ten thousandsthousands place.

The number 45278 is read as forty five thousand, two hundred seventy eight.

Can you now write the smallest five digit number?

and now, the greatest 5-digit number?

TRY THESE

Choose the correct number names for the given number.

Expand the numbers for the given numbers

20000 = 2 × 10000

26000 = 2 × 10000 + 6 × 1000

38400 = × 10000 + 8 × + × 100

65740 = 6 × + × 1000 + 7 × + 4 ×

89324 = × 10000 + 9 × + 3 × + × + 4 × 1

41000 = × 10000 + ×

47300 = × + × 1000 + ×

57630 = 5 × + 7 × + 6 × + 3 ×

29485 = × 10000 + × 1000 + × 100+ × 10 + × 1

20005 = × + ×