Study the following pattern `9 xx 9 =81, 99 xx 99 = 9801`.
`999 xx 999 = 998001` ………………..What is value of `99999 xx9999`?

Options

A. 9999888001
B. 9999800001
C. 999880001
D. 9999880001

Answer

To solve the problem of finding the value of `99999 x 9999`, we can identify the pattern established in the previous examples.

1. **Identify the Pattern**:
- The pattern shows that when we multiply numbers consisting entirely of the digit 9, the result can be derived from the number of 9s in the multiplicands.
- For example:
- `9 x 9 = 81` (1 nine on each side → 1 zero in between)
- `99 x 99 = 9801` (2 nines on each side → 1 zero in between)
- `999 x 999 = 998001` (3 nines on each side → 2 zeros in between)

2. **Determine the Number of 9s**:
- In the expression `99999 x 9999`, we have:
- `99999` has 5 nines.
- `9999` has 4 nines.

3. **Construct the Result**:
- The total number of nines is 5 (from `99999`) and 4 (from `9999`), which gives us a total of 5 nines.
- According to the pattern, we will have:
- The leading digit will be `9` (one less than the total number of nines).
- The number of zeros in between will be equal to the total number of nines minus 1, which is `5 + 4 - 1 = 8` (from the total of 9 nines).
- The last digit will be `1`.

4. **Final Result**:
- Therefore, the result will be `9999600001`.

Thus, the value of `99999 x 9999` is **9999600001**.