Question

Fill in the blanks to make the statement true: $27500000=2.75\times {10}^{\_\_\_\_\_}$.

Answer 1

Compute the power:

The standard form of a number is a way of representing a number in which any number can be expressed in decimals from 1.0 to 10.0 and also multiplied with powers of 10.

By using the definition of standard form, we can write

$\begin{array}{rcl}27500000& =& 275\times 100000\\ & =& 2.75\times 100\times 100000\\ & =& 2.75\times 10000000\\ & =& 2.75\times {10}^7\end{array}$

Hence, the required statement is $27500000=2.75\times {10}^7$.