Final answer:
To change the decimal 0.002 into a fraction, express it as 2/1000 and then simplify it to 1/500.
Step-by-step explanation:
To change the decimal 0.002 into a fraction, we need to consider the place value of the last digit in the decimal. In 0.002, the 2 is in the thousandths place. This means the decimal can be expressed as a fraction where the numerator is the number without the decimal point, and the denominator is 1 followed by the same number of zeros as there are digits after the decimal point.
Thus, 0.002 can be written as 2/1000. However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 2. After simplification, the fraction becomes 1/500.