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How to Write Numbers in Expanded Form.
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How to Write Numbers in Expanded Form.

Rosemary Njeri

Prior to learning how to write numbers in expanded form, let us understand the term expanded form first. Writing a number in expanded form just means that we are showing the value of each digit in that number.

This form is handy because it shows what a number really means by defining each of its digits.

Formula to Write Numbers in Expanded Form.

  • First you need to know the place value of each digit in the number.
  • Then their total value, which is what expansion of numbers is based on.

Total value is the product of the digit and its place value.

Example 1:

Expand 3,532.

3 thousands

5 hundreds

3 tens

2 ones

Therefore, to expand this number we multiply each number by its place value.

3 x 1,000

= 3,0000

5 x 100

= 500

3 x 10

= 30

2 x 1

= 2

Hence 3,532 in expanded form is;

3000

500

30

2

Example 2:

Expand 212,786

2 hundreds of thousand

1 tens of thousand

2 thousands

7 hundreds

8 tens

6 ones

To expand this number we multiply each number by its place value.

2 x 100,000

= 200,000

1 x 10,000

= 10,000

2 x 1,000

=2,000

7 x 100

= 700

8 x 10

= 80

6 x 1

= 6

Hence 212786 in expanded form is;

200,000

10,000

2,000

700

80

6

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