Certainly! Let's explore how knowing the sum of [tex]\(5 + 5 = 10\)[/tex] can assist us in finding the result of [tex]\(5 + 6\)[/tex].
### Step-by-Step Solution:
1. Identify the Known Sum:
We know that [tex]\(5 + 5 = 10\)[/tex]. This is a given fact and serves as our starting point.
2. Understand the Relationship:
Notice that [tex]\(5 + 6\)[/tex] is very similar to [tex]\(5 + 5\)[/tex]. The only difference is that the second number increases from 5 to 6.
3. Increment and Adjust:
To transition from [tex]\(5 + 5\)[/tex] to [tex]\(5 + 6\)[/tex], you are essentially adding 1 more to the sum of [tex]\(5 + 5\)[/tex].
- If [tex]\(5 + 5 = 10\)[/tex],
- Then [tex]\(5 + 6\)[/tex] is adding 1 more to that sum.
4. Calculate the New Sum:
- Since [tex]\(5 + 5 = 10\)[/tex],
- To find [tex]\(5 + 6\)[/tex], simply add 1 to 10.
So,
[tex]\[
5 + 6 = 10 + 1 = 11
\][/tex]
#### Summary:
By knowing that [tex]\(5 + 5 = 10\)[/tex], we can easily find [tex]\(5 + 6\)[/tex] by recognizing that it is just one more than [tex]\(5 + 5\)[/tex]. Therefore, [tex]\(5 + 6 = 11\)[/tex].
