Vidhi writes the smallest 6-digit number and Ridhi writes the greatest 7-digit number on the blackboard. Their Maths teacher finds the difference between the smallest 4-digit number and the sum of the two numbers written on the blackboard. What would be the answer?

Options

A. 10099999
B. 10098999
C. 19999890
D. 10069998

Answer

To solve the problem step by step, let's break it down:

### Step 1: Identify the smallest 6-digit number
The smallest 6-digit number is:
- **100000** (which is 1 followed by 5 zeros).

### Step 2: Identify the greatest 7-digit number
The greatest 7-digit number is:
- **9999999** (which is 7 nines).

### Step 3: Calculate the sum of the two numbers
Now, we need to find the sum of the smallest 6-digit number and the greatest 7-digit number:
- **100000 + 9999999**.

Calculating this:
- 100000 + 9999999 = 100000 + 9999999 = 10100000.

### Step 4: Identify the smallest 4-digit number
The smallest 4-digit number is:
- **1000** (which is 1 followed by 3 zeros).

### Step 5: Calculate the difference
Now, we need to find the difference between the smallest 4-digit number and the sum we calculated:
- **Difference = Smallest 4-digit number - Sum**.
- **Difference = 1000 - 10100000**.

Calculating this:
- 1000 - 10100000 = -10090000.

### Final Answer
The answer is **-10090000**.

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