Find the product of the largest `3`-digit number and the largest `5`-digit number.

Options

A. `99899002`
B. `99899000`
C. `99899001`
D. `99899003`

Answer

To solve the problem of finding the product of the largest 3-digit number and the largest 5-digit number, we can follow these steps:

### Step 1: Identify the largest 3-digit number
The largest 3-digit number is 999.

### Step 2: Identify the largest 5-digit number
The largest 5-digit number is 99999.

### Step 3: Multiply the two numbers
Now, we need to calculate the product of 999 and 99999.

\[ 999 \times 99999 \]

### Step 4: Perform the multiplication
To multiply these numbers, we can use the standard multiplication method or break it down using the distributive property.

Using the standard multiplication:
\[ 999 \times 99999 = 999 \times (100000 - 1) = 999 \times 100000 - 999 \times 1 \]

Calculating each part:
1. \(999 \times 100000 = 99900000\)
2. \(999 \times 1 = 999\)

Now, subtract the second result from the first:
\[ 99900000 - 999 = 99899001 \]

### Final Answer
The product of the largest 3-digit number and the largest 5-digit number is:
\[ \text{Product} = 99899001 \]

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