Let's break down the detailed steps to illustrate [tex]\(3 + 5 = 8\)[/tex] using number strips.
### Step-by-Step Solution:
#### Step 1: Understanding the Addition
We want to add 3 and 5 together to get a total. The addition problem we are solving is:
[tex]\[ 3 + 5 = 8 \][/tex]
#### Step 2: Create Number Strips
To visually represent the addition, we can use number strips. A number strip is a strip of squares where each square represents one unit.
#### Step 3: Draw the Number Strip for 3
First, we draw a number strip that represents the number 3:
[tex]\[ \begin{array}{|c|c|c|}
\hline
1 & 2 & 3 \\
\hline
\end{array} \][/tex]
#### Step 4: Draw the Number Strip for 5
Next, we draw another number strip that represents the number 5:
[tex]\[ \begin{array}{|c|c|c|c|c|}
\hline
1 & 2 & 3 & 4 & 5 \\
\hline
\end{array} \][/tex]
#### Step 5: Combine the Number Strips
Now, we combine the two number strips to illustrate the total:
[tex]\[
\begin{array}{|c|c|c|}
\hline
1 & 2 & 3 \\
\hline
\end{array}
\ + \
\begin{array}{|c|c|c|c|c|}
\hline
1 & 2 & 3 & 4 & 5 \\
\hline
\end{array}
\][/tex]
When you add together the lengths of the two strips, you get a new number strip that represents the total sum:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline
\end{array}
\][/tex]
### Conclusion
The total number of units represented by the combined number strips is 8. This shows that:
[tex]\[ 3 + 5 = 8 \][/tex]
By visually using number strips, we can clearly see the addition process and the resulting sum.
