The problem requires us to perform two calculations: a) $-10844 + 9751$ b) $771 - (-4182)$

1. Problem Description

The problem requires us to perform two calculations:

a) $-10844 + 9751$

b) $771 - (-4182)$

2. Solution Steps

a) $-10844 + 9751$

Since the first number is negative and has a larger absolute value than the second number which is positive, the result will be negative.

We calculate the difference between the absolute values:

$10844 - 9751 = 1093$

So, $-10844 + 9751 = -1093$

b) $771 - (-4182)$

Subtracting a negative number is the same as adding the positive number.

So, $771 - (-4182) = 771 + 4182$.

Now we calculate the sum:

$771 + 4182 = 4953$

3. Final Answer

a) -1093

b) 4953