The problem asks us to calculate the results of two arithmetic expressions: a) $-10,844 + 9751$ b) $771 - 4182$

1. Problem Description

The problem asks us to calculate the results of two arithmetic expressions:

a) $-10,844 + 9751$

b) $771 - 4182$

2. Solution Steps

a) $-10,844 + 9751$ can be calculated as follows:

Since the numbers have different signs, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

$| -10,844 | = 10,844$

$| 9751 | = 9751$

$10,844 - 9751 = 1093$

Since $| -10,844 | > | 9751 |$, the result is negative.

So, $-10,844 + 9751 = -1093$

b) $771 - 4182$ can be calculated as follows:

Since we are subtracting a larger number from a smaller number, the result will be negative.

$4182 - 771 = 3411$

So, $771 - 4182 = -3411$

3. Final Answer

a) $-1093$

b) $-3411$