The image shows a worksheet titled "Rainbow to 10," which is designed to help children practice addition by finding pairs of numbers that add up to 10. The task involves filling in the blanks with pairs of numbers that sum to 10.
Worksheet Details:
- The title is "Rainbow to 10."
- The question asks, "How many ways can you find to make 10?"
- There are multiple blank equations provided:
- \_\_ + \_\_ = 10
- \_\_ + \_\_ = 10
- \_\_ + \_\_ = 10
- \_\_ + \_\_ = 10
- \_\_ + \_\_ = 10
- \_\_ + \_\_ = 10
- \_\_ + \_\_ = 10
Solution Approach:
To solve this problem, we need to identify all possible pairs of whole numbers that add up to 10. Let's list them systematically:
1.
Start with the smallest number (0) and increase one number while decreasing the other:
- \( 0 + 10 = 10 \)
- \( 1 + 9 = 10 \)
- \( 2 + 8 = 10 \)
- \( 3 + 7 = 10 \)
- \( 4 + 6 = 10 \)
- \( 5 + 5 = 10 \)
- \( 6 + 4 = 10 \)
- \( 7 + 3 = 10 \)
- \( 8 + 2 = 10 \)
- \( 9 + 1 = 10 \)
- \( 10 + 0 = 10 \)
Unique Pairs:
Since the order of the numbers doesn't matter (e.g., \( 3 + 7 \) is the same as \( 7 + 3 \)), we can consider only unique pairs. The unique pairs are:
- \( 0 + 10 \)
- \( 1 + 9 \)
- \( 2 + 8 \)
- \( 3 + 7 \)
- \( 4 + 6 \)
- \( 5 + 5 \)
Filling in the Worksheet:
Using the unique pairs, we can fill in the blanks on the worksheet. Here’s one possible way to do it:
1. \( 0 + 10 = 10 \)
2. \( 1 + 9 = 10 \)
3. \( 2 + 8 = 10 \)
4. \( 3 + 7 = 10 \)
5. \( 4 + 6 = 10 \)
6. \( 5 + 5 = 10 \)
7. \( 6 + 4 = 10 \)
Explanation:
- The goal is to find combinations of two numbers that add up to 10.
- By starting from 0 and increasing one number while decreasing the other, we ensure we cover all possibilities.
- Since the worksheet has 7 blanks, we can use the first 7 unique pairs listed above.
Final Answer:
\[
\boxed{
\begin{aligned}
0 + 10 &= 10 \\
1 + 9 &= 10 \\
2 + 8 &= 10 \\
3 + 7 &= 10 \\
4 + 6 &= 10 \\
5 + 5 &= 10 \\
6 + 4 &= 10
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 10 addition facts worksheet.
