# Question #fb949

Sep 17, 2015

$6.3 \cdot {10}^{2} = 630$

#### Explanation:

Numbers expressed in scientific notation follow the general form

$\textcolor{b l u e}{a \cdot {10}^{b}} \text{ }$, where

$a$ - the mantissa, which represens the significant digits of the number;
$b$ - the exponent of the base;

In your case, the mantissa is equal to $6.3$ and the exponent of the base is equal to $2$.

To convert this number from scientific notation to standard notation you need to move the decimal point to the right because you're dealing with a positive exponent.

As you move the decimal point to the right, you decrease the exponent by $1$ for every position the decimal dot changes. You do this until the exponent is equal to zero.

This means that you would get

$6.3 \cdot {10}^{2} \to 63 \cdot {10}^{1} \to 630 \cdot 1 = 630$

The standard notation for $6.3 \cdot {10}^{2}$ is $630$. Keep in mind that you need to have the same number of sig figs for both numbers.