How do you multiply 10.4\times 4.6?

1 Answer
Feb 8, 2017

10.4times4.6=47.84

Explanation:

First notice

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

Then we can group the 1/10s 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