Find the product of the largest 5-digit number and the largest 3-digit number using distributive law.

Answer

To find the product of the largest 5-digit number and the largest 3-digit number using the distributive law, we can follow these steps:

### Step 1: Identify the largest 5-digit and 3-digit numbers
- The largest 5-digit number is **99999**.
- The largest 3-digit number is **999**.

### Step 2: Rewrite the largest 3-digit number
- We can express **999** as **1000 - 1**. This will help us use the distributive law effectively.

### Step 3: Apply the distributive law
- According to the distributive law, we can write:
\[ 99999 \times 999 = 99999 \times (1000 - 1) \]
- Now, we can distribute **99999** across the terms inside the parentheses:
\[ 99999 \times 1000 - 99999 \times 1 \]

### Step 4: Calculate each term
1. Calculate \(99999 \times 1000\):
\[ 99999 \times 1000 = 99999000 \]
2. Calculate \(99999 \times 1\):
\[ 99999 \times 1 = 99999 \]

### Step 5: Subtract the second term from the first term
- Now, we subtract the second term from the first term:
\[ 99999000 - 99999 = 99999000 - 99999 = 99989001 \]

### Final Answer
- Therefore, the product of the largest 5-digit number and the largest 3-digit number is **99989001**.

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