Skill: Identify decimal place values

To identify a decimal place value, start at the decimal point and count to the right:

• First place: tenths
• Second place: hundredths
• Third place: thousandths

Each place is worth one-tenth as much as the place before it.

Example: In the number $2.047$, what place is the digit $4$ in, and what is its value?

1. Look at the digits to the right of the decimal point:

$$2.047$$

• $0$ is in the tenths place.
• $4$ is in the hundredths place.
• $7$ is in the thousandths place.

2. Therefore, the digit $4$ is in the hundredths place.

3. A $4$ in the hundredths place has a value of four hundredths:

$$4 \text{ hundredths} = 0.04$$

So, in $2.047$, the digit $4$ is in the hundredths place, and its value is $\boxed{0.04}$.

The zero in the tenths place is a placeholder. It shows that there are no tenths, so the $4$ stays in the hundredths place.