Certainly! Let's work through the problem step-by-step.
1. Understanding the Base Calculation:
- We start with the known equation [tex]\( 5 + 5 \)[/tex]. From basic addition, we know that [tex]\( 5 + 5 = 10 \)[/tex].
2. Relating to the New Problem:
- The new problem we need to solve is [tex]\( 5 + 6 \)[/tex]. Notice that [tex]\( 6 \)[/tex] can be broken down into [tex]\( 5 + 1 \)[/tex].
- Therefore, [tex]\( 5 + 6 \)[/tex] can be rewritten as [tex]\( 5 + (5 + 1) \)[/tex].
3. Breaking it Down Further:
- If we solve [tex]\( 5 + (5 + 1) \)[/tex], we can use our known result:
[tex]\[
5 + (5 + 1) = (5 + 5) + 1
\][/tex]
4. Using the Known Result:
- From our initial problem, we know that [tex]\( 5 + 5 = 10 \)[/tex]. So we substitute this into our equation:
[tex]\[
(5 + 5) + 1 = 10 + 1
\][/tex]
5. Addition to Find the Final Result:
- Finally, adding [tex]\( 1 \)[/tex] to [tex]\( 10 \)[/tex] gives us:
[tex]\[
10 + 1 = 11
\][/tex]
So, knowing that [tex]\( 5 + 5 = 10 \)[/tex] helps us find that [tex]\( 5 + 6 = 11 \)[/tex].
