What is the difference between the place and face values of 3 in 52310 ?

Options

A. 128
B. 225
C. 285
D. 297

Answer

To solve the question, "What is the difference between the place and face values of 3 in 52310?", we will follow these steps:

### Step 1: Identify the Face Value of 3
The face value of a digit is the digit itself, regardless of its position in the number.

- **Face Value of 3**: 3

### Step 2: Determine the Place Value of 3
The place value of a digit depends on its position in the number. In the number 52310, the digit 3 is in the hundreds place.

- **Place Value of 3**:
- Since 3 is in the hundreds place, its place value is calculated as:
\[ \text{Place Value} = 3 \times 100 = 300 \]

### Step 3: Calculate the Difference Between Place Value and Face Value
Now, we need to find the difference between the place value and the face value of 3.

- **Difference**:
\[ \text{Difference} = \text{Place Value} - \text{Face Value} = 300 - 3 = 297 \]

### Final Answer
The difference between the place and face values of 3 in 52310 is **297**.

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