Complete the addition: i) (-3) + (-2) ii) (+5) + (-7)

Part (i): $(-3) + (-2)$

Step 1: Rule for adding two negative numbers.
Sum of two negatives is negative of the sum of absolute values.
$a + b = -( |a| + |b| )$ where $a < 0$ and $b < 0$.

Step 2: Substitute values.
$(-3) + (-2) = -(3 + 2)$

Step 3: Simplify inside parentheses.
$3 + 2 = 5$
$-(5) = -5$

-5

Part (ii): $(+5) + (-7)$

Step 1: Rule for adding positive and negative.
If absolute value of negative is larger, result is negative of the difference.
$a + b = -(|b| - |a|)$ where $|b| > |a| > 0$.

Step 2: Substitute values.
$5 + (-7) = -(7 - 5)$

Step 3: Simplify inside parentheses.
$7 - 5 = 2$
$-(2) = -2$

-2