Choose the correct alternative from those given below each statement and complete the statement:
What is the difference in the place values of 2 in the number 32.725?

Options

A. 2.02
B. 1.08
C. 1.998
D. 1.98

Answer

To find the difference in the place values of the digit 2 in the number 32.725, we can follow these steps:

### Step 1: Identify the two 2s in the number
In the number 32.725, there are two occurrences of the digit 2:
- The first 2 is in the units place (the whole number part).
- The second 2 is in the hundredths place (the decimal part).

### Step 2: Determine the place value of the first 2
The first 2 is in the units place. Therefore, its place value is:
- Place value of the first 2 = 2 × 1 = 2

### Step 3: Determine the place value of the second 2
The second 2 is in the hundredths place. Therefore, its place value is:
- Place value of the second 2 = 2 × 0.01 = 0.02

### Step 4: Calculate the difference in place values
Now, we need to find the difference between the place values of the two 2s:
- Difference = Place value of first 2 - Place value of second 2
- Difference = 2 - 0.02

### Step 5: Perform the subtraction
Now, we perform the subtraction:
- Difference = 2 - 0.02 = 1.98

### Final Answer
The difference in the place values of the two 2s in the number 32.725 is **1.98**.

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