-  469157 x 9999 = 469157 x (10000 -1) = (469157 x 10000) - (469157 x 1)
                        
                        = (4691570000 - 469157) = 4691100843

To solve this problem, we can use the multiplication rule for numbers that are almost the same. In particular, we can use the fact that:

(a + b) × (a - b) = a^2 - b^2

This rule tells us that if we multiply a number by another number that is almost its opposite (i.e., if we add one to the second number and subtract one from the first number), then we get the difference of the squares of the two numbers.

Using this rule, we can rewrite 469157 × 9999 as:

(469157 + 1) × (9999 - 1) = 469158 × 9998

Now, we can use long multiplication to compute this product:

  469158

× 9998

 3753264

4691580

4691100843

Therefore, the correct answer is option C, 4691100843.

In summary, we used the multiplication rule (a + b) × (a - b) = a^2 - b^2 to rewrite the product 469157 × 9999 as (469157 + 1) × (9999 - 1) and then used long multiplication to compute the result.

If you think the solution is wrong then please provide your own solution below in the comments section .