Expanding Numbers

Expanding numbers is the sum of numbers according to its place values. The different place values are Ones (unit), Tens, Hundred, Thousand and so on.
The name of place values are according to Indian system or according to the International system of numeration.
Number can be written in three different ways. 1) Standard form (numeral form) 2) Word form 3) expanded form.
Example 1: Write 568 in expanded form.

5 ----> 500
6 ----> 60
8 ----> 8
So expanded form of 568 is
500 + 60 + 8.
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Example 2 : Write the expanded form of 1,245.

1 ----> 1000
2 ----> 200
4 ----> 40
5 ----> 5 So expanded form of 1245 is
1000 + 200 + 40 + 5.
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Example 3 : Write 805 in expanded form.
8 ----> 800 (hundred's place)
0 ----> 00 (ten's place)
5 ----> 5 (one's place)

So the expanded form of 805 is
800 + 00 + 5. As there is no number in ten's place so we can write this expanded form as 800 + 5.
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Expanded form to Standard form

The easiest way to write the given number in standard form is :
1) Write the place value at the top according to the given number. 2) write the given number accordingly.
3) Cancel the number of zeroes and write the number in the same order of the place value.
Example 1: Write the standard form of 600 + 30 + 8.
Here, we have only three numbers, so at the top write
H ,T ,O .
H T O
600 30 8
600   30 8
 (cancel the zeroes if present)

So the standard form of number is
638
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Example 2: Write the standard form of 1000 + 400 + 80 + 2.
Here, we have four numbers, so at the top write
Th, H ,T ,O .
Th H T O
1000 400 80 2
1000   400 80     2
 (cancel the zeroes if present)

So the standard form of number is
1482

Practice

1) Write the following numbers in expanded form.

  • 345
  • 541
  • 1,236
  • 2,354
  • 409

2) Write in standard form.

  • 2000 + 500 + 40 + 1
  • 900 + 80 + 5
  • 100 + 8
  • 600 + 20 + 6

Expanding numbers

2nd Grade Math

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