Place Value Analysis: Determining the Position of 0.3 in Decimal Form

Determine the place value of 0.3

To determine the place value of decimal $0.3$, we need to understand the structure of decimal numbers. In a decimal number system, each digit to the right of the decimal point represents a fractional part of a power of ten.

• Step 1: Identify the position of the digit '3'. In $0.3$, the digit '3' is in the first position to the right of the decimal point.
• Step 2: Determine the corresponding fractional place value. The first position to the right of the decimal point represents the tenths. Therefore, the place value of '3' in this position is three tenths.
• Step 3: Understand the implication. Since there are no other digits involved in this problem, the place value is simply three tenths, written as $\frac{3}{10}$.

However, none of the options provided are directly 'three tenths'. Upon reviewing the options' wording, we identify that 'thirty hundredths' can equivalently be expressed as $\frac{30}{100} = \frac{3}{10}$. Therefore, for the specific question and provided options, the place value of 0.3 is correctly identified as "Thirty hundredths".

Therefore, the solution to the problem is "Thirty hundredths".