How do you multiply #10.4\times 4.6#?

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Answer 1 · 2017-02-08T15:55:27

#10.4times4.6=47.84#

First notice

#10.4times4.6=(1/10times104)times(1/10times46)#

Then we can group the #1/10#s together

#(1/10times104)times(1/10times46)=(1/10times1/10)times(104times46)#

#=1/100times(104times46)#

Since #104=100+4# then

#1/100times(104times46)=1/100times((100+4)times46)#

Then we distribute #46#

#=1/100times((100times46)+(4times46))#

And multiply

#=1/100times(4600+184)=1/100times4784=47.84#