To express the decimal number 0.004 as a simplified fraction, follow these steps:
1. Understand the Decimal:
The decimal number 0.004 is a small decimal less than 1.
2. Convert to a Fraction:
Write 0.004 as a fraction. The decimal 0.004 can be written as [tex]\(\frac{4}{1000}\)[/tex] because the decimal point moves three places to the right.
3. Simplify the Fraction:
Now, simplify the fraction [tex]\(\frac{4}{1000}\)[/tex]. To do this, find the greatest common divisor (GCD) of 4 and 1000.
The GCD of 4 and 1000 is 4.
Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{4 \div 4}{1000 \div 4} = \frac{1}{250}
\][/tex]
Thus, the simplified fraction for 0.004 is [tex]\(\frac{1}{250}\)[/tex].
So, the correct answer is:
(b) [tex]\(\frac{1}{250}\)[/tex]
