Determine the Place Value in 0.7: Decimal Position Analysis

Determine the place value of 0.7

To determine the place value of the digit '7' in the decimal number 0.7, we'll follow these steps:

• Step 1: Understand the decimal system where each position represents a fraction with a denominator that is a power of 10.
• Step 2: Identify the position of the digit '7' in 0.7.
• Step 3: Convert the decimal form to a fractional form to indicate its place value.

Now, let's work through each step:

Step 1: In the decimal system, each digit has a place value. The place value of the first digit to the right of the decimal point is in the tenths place.
Step 2: The digit '7' in the number 0.7 is in the first place to the right of the decimal point, which corresponds to the tenths place.
Step 3: The decimal 0.7 can be expressed as a fraction: $\frac{7}{10}$. This indicates that the '7' represents seven tenths.

Therefore, the place value of 0.7 is seven tenths.