How do you multiply 0.47 • 3.01?

1 Answer
Andre R.
Oct 23, 2016

So, for this problem we use long multiplication to multiply 47 by 301 and then put the decimal 4 places in (4 decimal spots in the question) leaving us with 1.4147

Explanation:

To Multiply numbers with decimals sometimes it is easier to ignore the decimal place until the end of the problem.
the problem can be rewritten as,

#47*10^-2*301*10^-2# or,

#47*301*10^-4#

(#47*301# with decimal moved four to the left )

(I'm not really sure how to format long multiplication on this website so sorry about the dodgy set out Zeros in front are just placeholders representing a space. If someone can offer a solution in the comments that would be appreciated as well.)

0047
X 301
#bar(00007)#
00040
02100
12000
#bar(14147)#

After moving the decimal place four to the left (4 decimal spots in the question) we leave ourselves with,
1.4147

Alternatively, you could think of the problem as two fractions.

#47/100*301/100#

#=(47*301)/(100*100)#

#=14147/10000# (this is where the #*10^-4# comes from)

#=1.4147#

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