To solve the expression [tex]\(-3) + (-5)\)[/tex], follow these steps:
1. Identify the numbers in the expression, which are [tex]\(-3\)[/tex] and [tex]\(-5\)[/tex].
2. Notice that both of these numbers are negative.
Next, when adding two negative numbers, you add their absolute values (ignore the negative sign for a moment) and then place a negative sign in front of the sum.
3. The absolute value of [tex]\(-3\)[/tex] is [tex]\(3\)[/tex].
4. The absolute value of [tex]\(-5\)[/tex] is [tex]\(5\)[/tex].
5. Add these absolute values together: [tex]\(3 + 5 = 8\)[/tex].
Since both of the original numbers were negative, the result will also be negative.
6. Place a negative sign in front of the sum: [tex]\(-8\)[/tex].
Therefore, [tex]\(-3 + (-5) = -8\)[/tex].