Definition of Expanded Form of any Numbers

Topic : Expanded Form

Question : Definition for Expanded Form, Explained with an Example.

Answer :

Expanded form is a way to write a number that shows the sum of values of each digit of a number.

Expanded form is a way of writing numbers so that all that is hidden

about them comes out into the open.

The simplest way to write numbers in expanded form is to write them

sort of in English.

For 4,017, this becomes 4 thousands and 0 hundreds and 1 ten and 7

ones. This can be made to look like math by changing the words to math

symbols.The expanded form for 4,017, then, is:

4 x 1000 + 0 x 100 + 1 x 10 + 7 x 1

The expanded form shows what each digit is worth (for example, the 4

is worth 4 x 1000, which is the same as 4 thousands, which equals

4000).

Here is another example.

12,345 becomes 1 ten thousand and 2 thousands and 3 hundreds and 4 tens

and 5 ones. Changing the words to math symbols, 12,345 in expanded form

is:

1 x 10,000 + 2 x 1,000 + 3 x 100 + 4 x 10 + 5 x 1

Standard form is the reverse of expanded form. You 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