Question

Write the number in words and in expanded form in Indian System of Numeration:

$102345678$.

Answer 1

Step 1: Write the number in words

Given number, $102345678$

$$\begin{gathered} \mathrm{TC}\mathrm{C}\mathrm{TL}\mathrm{L}\mathrm{TTh}\mathrm{Th}\mathrm{H}\mathrm{T}\hspace{0.17em}\mathrm{O} \\ 102345678 \end{gathered}$$

So, the given number is ten crore twenty-three lac forty-five thousand six hundred seventy-eight.

Step 2: Write the number in expanded form

$$\begin{gathered} \mathrm{TC}\mathrm{C}\mathrm{TL}\mathrm{L}\mathrm{TTh}\mathrm{Th}\mathrm{H}\mathrm{T}\hspace{0.17em}\mathrm{O} \\ 102345678 \\ \Rightarrow 1\times 100000000+0\times 10000000+2\times 1000000+3\times 100000+4\times 10000+5\times 1000+6\times 100+7\times 10+8 \\ =100000000+2000000+300000+40000+5000+600+70+8 \end{gathered}$$

Hence, the given number in words is ten crore twenty-three lac forty-five thousand six hundred seventy-eight

and expanded form of the given number is $100000000+2000000+300000+40000+5000+600+70+8$.