How do I find the product when multiplying with decimals 0.36 * 2.4

Question

How do I find the product when multiplying with decimals

`0.36 * 2.4`

Answer 1

Step 1:

first let us convert the two decimals into fractions.

0.36=36/100 (since there are two digits after decimal point we divide by 100)

2.4=24/10 (since there are one digit after decimal point we divide by 10)

now we can multiply the fractions

`(36)/(100)`×
`(24)/(10)`

multiplying numerator with numerator and denominator with denominator:

`(36*24)/(100*10)`

=
`(864)/(1000)`

Now we can convert this back to decimal

864/1000=0.864, moving decimal three digits to the left since we have three zeros in the denominator that is 1000.

Answer=0.864