How to express a number in the expanded form?
Expressing a number according to the place value of its digits is called the expanded form of the number.
Place value chart
Ten thousand Thousand Hundreds Tens Ones
(T. Th.) (Th.) (H) (T) (O)
(i) 4 7 2 9 8
(ii) 5 9 0 4 5
(iii) 8 0 0 4 5
(iv) 7 0 0 0 2
Explanation of the above place value chart to express a number:
Expanded form of the number 47298 is 40000 + 7000 + 200 + 90 + 8
When we read a number, we actually read the place value of each digit of the number.
Thus, the number 47298 is read as ‘forty seven thousand two hundred ninety eight’.
Expanded form of the number 59045 is 50000 + 9000 + 000 + 40 + 5
If zero occurs as a digit in a number, we remain silent in reading its place value.
The number 59045 is read as ‘fifty nine thousand forty five’.
Expanded form of the number 80045 is 80000 + 40 + 5
The number 80045 is read as ‘eighty thousand forty five.
Expanded form of the number 70002 is 70000 + 2
The number 70002 is read as ‘seventy thousand two’.
For example:
1. Write the greatest 4 digit number.
Solution:
The greatest digit is 9. So, the greatest 4 digit number is 9999.
2. Write the smallest 5 digit number.
Solution:
The smallest digit is 1. We write a zero for each of the other places. So, the smallest 5 digit number is 10000.
3. Express 40102 in the expanded form.
Solution:
The expanded form of 40102 is 40000 + 100 + 2.
4. Express 7 thousands + 3 tens in figures.
Solution:
7030
5. Write the smallest 3 digit number.
Solution:
The smallest digit is 1. We write a zero for each of the other places. So, the smallest 3 digit number is 100.
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