What is the product of 12.0987*2345?

1 Answer
George C.
Jun 5, 2016

#12.0987*0.2345=2.83714515#

Explanation:

Assuming you don't have a calculator to hand...

There are no particular shortcuts that I can think of to calculate #12.0987*0.2345# by hand, so let's use long multiplication:

First note that #12*0.25 = 3#, so the result we're looking for is approximately #3#.

To avoid messiness with decimal points, let's multiply integers:

#120987 * 2345#

It will be useful to have a table of multiples of #120987# up to #5 xx 120987#:

#1color(white)(000)120987#
#2color(white)(000)241974#
#3color(white)(000)362961#
#4color(white)(000)483948#
#5color(white)(000)604935#

Then we just need to add up:

#color(white)(0)241974color(white)(00000)(2 xx 120987 xx 1000)#
#color(white)(00)362961color(white)(0000)(3 xx 120987 xx 100)#
#color(white)(000)483948color(white)(000)(4 xx 120987 xx 10)#
#underline(color(white)(0000)604935)color(white)(00)(5 xx 120987 xx 1)#
#color(white)(0)283714515#

Put the decimal point back in to get:

#2.83714515#

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