Find the Place Value: Determining Positions in 0.63

To solve this problem, it's important to understand the place value system in decimals. The number provided is $0.63$. We need to determine its place value, which involves expressing it in words rather than just numerals.

In a decimal number, the digits immediately after the decimal point represent fractions of 10. Specifically:

• The first digit to the right of the decimal point is the tenths place.
• The second digit is the hundredths place.

Breaking down the number $0.63$, we have:

• $0.6$ means 6 tenths, or $\frac{6}{10}$.
• $0.03$ means 3 hundredths, or $\frac{3}{100}$.

When combined, $0.63$ represents sixty-three hundredths. This can be thought of as: $\frac{63}{100}$, which is expressed as "sixty-three hundredths" in words.

Hence, the place value of 0.63, when expressed in words, is sixty-three hundredths.