Converting Mixed Numbers: Writing One and Four Thousandths as 1.004

To solve this problem, we need to understand the phrase "one and four thousandths" and convert it to decimal form.

• First, the word "one" represents the whole number part, which is simply $1$.
• The word "and" in the context of numbers usually indicates that a decimal point is to be placed. Therefore, we have $1$ followed by a decimal point, making it $1.$.
• The phrase "four thousandths" gives us the fractional part. In decimal form, thousandths is represented by the third position to the right of the decimal. Thus, four thousandths is written as $0.004$.

Combining these, "one and four thousandths" is written as the decimal fraction $1.004$.

Therefore, the solution to the problem, stated clearly, is that "one and four thousandths" as a decimal fraction is $1.004$.