Question

write \\(dfrac{7}{1000}\\) as a decimal.

Explanation:

Step1: Recall fraction to decimal conversion

To convert a fraction with denominator \(10^n\) to a decimal, we move the decimal point in the numerator \(n\) places to the left. Here, the denominator is \(1000 = 10^3\), and the numerator is \(7\), which can be written as \(7.0\) (a decimal with a decimal point).

Step2: Move the decimal point

Since \(1000 = 10^3\), we move the decimal point in \(7.0\) three places to the left. Moving the decimal point one place left gives \(0.7\), two places left gives \(0.07\), and three places left gives \(0.007\).

Answer:

\(0.007\)