Question

Fill in the blanks:

$12345=1\times {10}^4+2\times {10}^3+..............+4\times {10}^1+5\times {10}^0$

Answer 1

Whenever we write the expanded form of any number, we write in the form of a summation of the place values of each digit.

Let's write the expanded form of -

$$\begin{gathered} 12345=10000+2000+300+40+5 \\ =1\times 10000+2\times 1000+3\times 100+4\times 10+5\times 1 \\ =1\times {10}^4+2\times {10}^3+3\times {10}^2+4\times {10}^1+5\times {10}^0 \end{gathered}$$

Hence, the missing term is $3\times {10}^2$.