Question #fb949

1 Answer
Sep 17, 2015

Answer:

#6.3 * 10^2 = 630#

Explanation:

Numbers expressed in scientific notation follow the general form

#color(blue)(a * 10^b)" "#, 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 * 10^(2) -> 63 * 10^1 -> 630 * 1 = 630#

The standard notation for #6.3 * 10^2# is #630#. Keep in mind that you need to have the same number of sig figs for both numbers.