Final answer:
The next number in the series '0.6, 0.06, 0.006' is 0.0006, following the pattern of adding one more zero between the decimal point and the digit 6 for each subsequent number.
Step-by-step explanation:
The next number in the math series '0.6, 0.06, 0.006, _' is 0.0006. The pattern demonstrates that with each subsequent number, the decimal point moves one place to the right, and the number of zeroes between the decimal point and the digit 6 increases by one. This is similar to the way numbers are moved to the right or left in scientific notation to change the value of the coefficient, but in this series, there is a consistent increase of one zero between the decimal and the 6.