The difference of place values of 7's in 1715.271 is

Options

A. 0
B. 700
C. 700.07
D. 699.93

Answer

To solve the problem of finding the difference of the place values of the 7's in the number 1715.271, we will follow these steps:

### Step 1: Identify the place values of the 7's
In the number 1715.271, there are two instances of the digit 7:
- The first 7 is in the hundreds place (1715).
- The second 7 is in the hundredths place (0.271).

### Step 2: Calculate the place value of the first 7
The first 7 is in the hundreds place. The place value is calculated as follows:
\[ \text{Place value of first 7} = 7 \times 100 = 700 \]

### Step 3: Calculate the place value of the second 7
The second 7 is in the hundredths place. The place value is calculated as follows:
\[ \text{Place value of second 7} = 7 \times 0.01 = 0.07 \]

### Step 4: Find the difference between the two place values
Now, we need to find the difference between the place values of the two 7's:
\[ \text{Difference} = \text{Place value of first 7} - \text{Place value of second 7} \]
\[ \text{Difference} = 700 - 0.07 = 699.93 \]

### Final Answer
The difference of the place values of the 7's in 1715.271 is **699.93**.

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