How many digits will be to the right of the decimal point in the product $0.2\times 0.03\times 0.004$?

To determine the number of digits to the right of the decimal point in a product, we count the total number of decimal places across all multiplying factors:
* In $0.2$, there is $1$ digit to the right of the decimal point.
* In $0.03$, there are $2$ digits to the right of the decimal point.
* In $0.004$, there are $3$ digits to the right of the decimal point.

Total number of decimal places = $1+2+3=6$

Let's double-check by calculating the exact product:

$$2\times 3\times 4=24$$

Placing the decimal point $6$ positions to the left gives:

$$0.2\times 0.03\times 0.004=0.000024$$

The number of digits to the right of the decimal point in $0.000024$ is exactly $6$.