# How do you write 2.5xx10^7 in expanded form?

Sep 27, 2016

$2.5 \times {10}^{7} = 25000000.0$

#### Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$.

In other words, in scientific notation, a number is written as $a \times {10}^{n}$, where $1 \le a < 10$ and $n$ is an integer and $1 \le a < 10$.

To write the number in normal or standard notation one just needs to multiply by the power ${10}^{n}$ (or divide if $n$ is negative). This means moving decimal $n$ digits to right if multiplying by ${10}^{n}$ and moving decimal $n$ digits to left if dividing by ${10}^{n}$ (i.e. multiplying by ${10}^{- n}$).

In the given case, as we have the number as $2.5 \times {10}^{7}$, we need to move decimal digit to the right by seven points. For this, let us write $2.5$ as $2.50000000$ and moving decimal point three points to right means $25000000.0$

Hence in standard notation $2.5 \times {10}^{7} = 25000000.0$