Question

How do you multiply 0.47 • 3.01?

Answer 1

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`