Converting 523 Thousandths to Decimal Fraction: Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Convert the phrase into numerals
• Step 3: Position the numerals correctly based on place value

Now, let's work through each step:
Step 1: The problem gives us the phrase "five hundred and twenty-three thousandths."
Step 2: The number in the phrase is 523, which we need to represent as a decimal fraction.
Step 3: Since the phrase uses "thousandths," 523 must be placed in the position representing thousandths in a decimal. This requires placing 523 starting from the third decimal place:
In decimal form, each digit represents a power of ten. For thousandths, we use the position three places to the right of the decimal point.
Writing this in decimal form involves placing 523 in the "thousandths" column: $0.523$.

Therefore, the solution to the problem is $0.523$.