Find the difference of the place values of two `8`’s in the number `578493087`.

Options

A. `7999990`
B. `8999920`
C. `7999920`
D. `8999820`

Answer

To find the difference of the place values of the two `8`s in the number `578493087`, we can follow these steps:

### Step 1: Identify the Number and Its Place Values
The number given is `578493087`. We need to identify the place values of the two `8`s in this number.

### Step 2: Write the Number in Place Value Format
Let's break down the number into its place values:
- 5 (hundred million)
- 7 (ten million)
- 8 (million)
- 4 (hundred thousand)
- 9 (ten thousand)
- 3 (thousand)
- 0 (hundred)
- 8 (ten)
- 7 (units)

### Step 3: Identify the Place Values of the Two `8`s
- The first `8` is in the **million** place, which is \( 8 \times 10^6 = 8,000,000 \).
- The second `8` is in the **ten** place, which is \( 8 \times 10^1 = 80 \).

### Step 4: Calculate the Place Values
- Place value of the first `8` = \( 8,000,000 \)
- Place value of the second `8` = \( 80 \)

### Step 5: Find the Difference of the Place Values
Now, we need to find the difference between the two place values:
\[ \text{Difference} = \text{Place value of first } 8 - \text{Place value of second } 8 \]
\[ \text{Difference} = 8,000,000 - 80 \]

### Step 6: Perform the Subtraction
To perform the subtraction:
\[ 8,000,000 - 80 = 7,999,920 \]

### Final Answer
The difference of the place values of the two `8`s in the number `578493087` is **7,999,920**.

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