Question

Write the given number in expanded form:
\[2806196\]

Answer 1

Hint: Find ones, tens, hundreds, thousand and so on places of the given number and split the digits of the number in multiples of 10.

Complete step-by-step answer:

As we had to write the above number in expanded form, we have to split the given number in ones, tens, hundred, thousands and so on places.

As we know that one place is the first digit of the number multiplied by ,1 going from right to left.

Tens place is the second digit multiplied by 10, going from right to left.

Hundred place will be the third digit multiplied by 100, going from right to left of the number.

A thousand place is the fourth digit multiplied by 1000, going from right to left of the number.
And this continues till we reach the leftmost digit of the number.

Now we have to split the number into places.
\[ \Rightarrow n = a*{10^b} + c*{10^d} + e*{10^f} + ..... + ..\]

Where, \[a,b,c,d,e\] and \[f\] can be any whole number
So, the given \[2806196\] in expanded form can be written as,
\[ \Rightarrow 2806196 = 20,00,000 + 8,00,000 + 0 + 6000 + 100 + 90 + 6\]

On reducing the above equation. It becomes,
\[ \Rightarrow 2806196 = 2*10,00,000{\text{ }} + {\text{ }}8*1,00,000{\text{ }} + {\text{ }}0*10,000{\text{ }} + {\text{ }}6*1000{\text{ }} + {\text{ }}1*100{\text{ }} + 9*{\text{ }}10{\text{ }} + 6*1\]

Hence, \[2806196 = 2*{10^6} + {\text{ }}8*{10^5}{\text{ }} + {\text{ }}6*{10^3}{\text{ }} + {\text{ }}1*{10^2}{\text{ }} + {\text{ }}9*{10^1}{\text{ }} + {\text{ }}6*{10^0}\]

Note: Whenever we came up with this type of problem where we had to write the given number in expanded form then we had to split all the digits of given number such that they become \[a*{10^b}\] where a, and b can be any whole number, then add them up to get the required expanded form of number.