Place Value Analysis: Positioning 0.1 in the Decimal System

Determine the place value of 0.1

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

• Step 1: Understand decimal place values. Each position to the right of the decimal point represents a division by the next power of ten.
• Step 2: Analyze the given number 0.1. The digit '1' is immediately after the decimal point.
• Step 3: Determine the place value. The first digit to the right of the decimal point is in the "tenths" place.

Now, let's work through each step:
Step 1: In any decimal number, the digits to the right of the decimal point have place values based on negative powers of ten. The first position is the tenths (1/10), followed by hundredths (1/100), etc.
Step 2: In 0.1, the '1' is the first digit after the decimal point.
Step 3: As the '1' is in the first position after the decimal point, the place value of 0.1 is the "tenths".

Therefore, the place value of the digit in the number 0.1 is tenth.