What is 965,000,000,000,000 in scientific notation?

1 Answer
Aug 12, 2016

#965,000,000,000,000 = 9.65 xx 10^14#

Explanation:

Thank goodness for scientific notation!

Imagine having to work with numbers like this without a short and easy way to write these very big or very small numbers!
'Scientific notation uses the powers of 10.

#10 = 1xx10#
#100 xx 1 xx10^2#

#1,000,000 = 1 xx10^6#

#200,000,000 = 2 xx 10^8 and 250,000,000 = 2.5 xx10^8#

Decide which power of 10 we are working with first by counting the number of place holders AFTER the first digit.

In #9color(red)(65,000,000,000,000) # there are #color(red)(14)# place holders, which means we have multiplied by 10, fourteen times.

#100,000,000,000,000 = 1xx10^14# We have 9.65 times as many:

Notice that there is always just ONE digit before the decimal point.

#965,000,000,000,000 = 9.65 xx 10^14#