How do you write the number in scientific notation: 322,000,000?

1 Answer
Nov 15, 2016

Answer:

#322,000,000 = 3.22 xx 10^8#

Explanation:

Scientific notation is a way of writing very big or very small numbers, quickly, easily and accurately, without writing all the zeros as place holders.

It uses a number with only one digit before the decimal point, followed by a power of 10 to indicate the size of the number.

#322,000,000 = 3.22 xx 10^8#

Note that in #322,000,000.# the decimal point is on the right.
#color(white)(....................................)uarr#

Note that in #3.22 xx10^8# the decimal point is after the first digit.
#color(white)(........x......)uarr#

Count how many places the decimal point has been moved to the left:

#3color(red)(22,000,000.) = 3.22 xx 10^color(red)(8)#