Sure, let's work through each of the given problems step-by-step.
1. [tex]\( 8 + 2 = 10 \)[/tex]
For the first question, we are simply adding two positive numbers:
[tex]\[
8 + 2 = 10
\][/tex]
So, the result is [tex]\( 10 \)[/tex].
2. [tex]\( -6 + (-5) = -11 \)[/tex]
In the second question, we are adding two negative numbers. When you add negative numbers, you end up with a negative number that is the sum of their absolute values:
[tex]\[
-6 + (-5) = -11
\][/tex]
So, the result is [tex]\( -11 \)[/tex].
3. [tex]\( -35 + (-25) = -60 \)[/tex]
For the third question, again, we are adding two negative numbers. The sum will be a negative number, which is the total of their absolute values:
[tex]\[
-35 + (-25) = -60
\][/tex]
So, the result is [tex]\( -60 \)[/tex].
4. [tex]\( 436 + 27 = 463 \)[/tex]
In the final question, we need to add two positive numbers. Adding them together:
[tex]\[
436 + 27 = 463
\][/tex]
So, the result is [tex]\( 463 \)[/tex].
Hence, the detailed solutions are as follows:
1. [tex]\( 8 + 2 = 10 \)[/tex]
2. [tex]\( -6 + (-5) = -11 \)[/tex]
3. [tex]\( -35 + (-25) = -60 \)[/tex]
4. [tex]\( 436 + 27 = 463 \)[/tex]
