If q = 9999 , find the value of q ( q + 2 ) is:

Options

A. 99999999
B. 999999
C. 1000001
D. 9999

Answer

To solve the problem, we need to find the value of \( q(q + 2) \) given that \( q = 9999 \).

### Step-by-step Solution:

1. **Identify the value of \( q \)**:
\[ q = 9999 \]

2. **Substitute \( q \) into the expression \( q(q + 2) \)**:
\[ q(q + 2) = 9999(9999 + 2) \]

3. **Calculate \( q + 2 \)**:
\[ 9999 + 2 = 10001 \]

4. **Now substitute this back into the expression**:
\[ q(q + 2) = 9999 \times 10001 \]

5. **Multiply \( 9999 \) by \( 10001 \)**:
- We can use the distributive property to simplify the multiplication:
\[ 9999 \times 10001 = 9999 \times (10000 + 1) = 9999 \times 10000 + 9999 \times 1 \]
\[ = 99990000 + 9999 \]
\[ = 99990000 + 9999 = 99999999 \]

6. **Final result**:
\[ q(q + 2) = 99999999 \]

### Summary:
The value of \( q(q + 2) \) when \( q = 9999 \) is \( 99999999 \).