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Solution: 36,14,561 can be written in the expanded form as 30,00,000 + 6,00,000 +
10,000 + 4,000 + 500 + 60 + 1
2. Write the expanded form of the following numbers in International system:
Example (i): 8,964,052 – In International system -
Place Millions Hundred Ten Thousands Hundreds Tens Ones
value thousands thousands
Value 8,000, 900,000 60,000 5,000 0 50 2
of 000
digit
We can add the values of the digits to get the number.
8,000,000 + 900,000 + 60,000 + 5,000 + 50 + 2 = 8,965,052
Example (ii): 3,192,611 -
Solution: In International system 3,192,611 can be written in the expanded form as
3,000,000 + 100,000 + 90,000 + 2,000 + 600 + 10 + 1
Example (iii): 257,400 -
Solution: In International system 257,400 can be written in the expanded form as
200,000 + 50,000 + 7,000 + 400
Standard Form:
We begin with expanded form and change it to the way we normally write numbers. For
example, 3 x 1,000 + 5 x 100 + 7 x 10 + 4 x 1 can be changed to 3 thousands and 5
hundreds and 7 tens and 4 ones. This becomes: 3000 + 500 + 70 + 4.
After doing the addition and we get 3574 (the standard form).
Example (i): 20,000 + 7,000 + 400 + 20 + 2
Solution: 27,422
Example (ii): 700,000 + 60,000 + 20 + 9
Solution: 760,029