The problem asks us to calculate the results of two arithmetic expressions. a) $-10,672 + 9615$ b) $815 - (-6294)$

1. Problem Description

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

a) $-10,672 + 9615$

b) $815 - (-6294)$

2. Solution Steps

a) To calculate $-10,672 + 9615$, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

$|10672| = 10672$ and $|9615| = 9615$.

Since $10672 > 9615$, the result will be negative.

$10672 - 9615 = 1057$

Therefore, $-10,672 + 9615 = -1057$.

b) To calculate $815 - (-6294)$, we remember that subtracting a negative number is the same as adding the positive number.

$815 - (-6294) = 815 + 6294$

$815 + 6294 = 7109$

Therefore, $815 - (-6294) = 7109$.

3. Final Answer

a) $-1057$

b) $7109$