The problem asks us to calculate the results of two arithmetic expressions: a) $-10752 + 9683$ b) $652 - 5837$

1. Problem Description

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

a) $-10752 + 9683$

b) $652 - 5837$

2. Solution Steps

a) $-10752 + 9683$

Since the numbers have different signs, we subtract the smaller absolute value from the larger absolute value. The result will have the sign of the number with the larger absolute value.

$| -10752 | = 10752$

$| 9683 | = 9683$

$10752 - 9683 = 1069$

Since $-10752$ has a larger absolute value and is negative, the answer is negative.

$-10752 + 9683 = -1069$

b) $652 - 5837$

Since the numbers have different signs (652 is positive and 5837 is negative when subtracting), we subtract the smaller absolute value from the larger absolute value. The result will have the sign of the number with the larger absolute value.

$| 652 | = 652$

$| -5837 | = 5837$

$5837 - 652 = 5185$

Since $-5837$ has a larger absolute value and is negative, the answer is negative.

$652 - 5837 = -5185$

3. Final Answer

a) -1069

b) -5185