Question

Find the multiplicative inverse of 0.3. Provide your answer below:

Answer 1

`(10)/(3)`

1) Multiplicative inverses are the numbers whose product by the original number yields 1.

2) So examining the number 0.3 we can rewrite it as:

`(3)/(10)`

3) And therefore the multiplicative inverse of that is the number:

`(3)/(10)*(10)/(3)=(30)/(30)=1`

SO the multiplicative inverse of 0.3 is:

`(10)/(3)`