Free Addition Worksheet Set for Sums of 10 - Rainbow to 10 theme for engaging math practice.

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.

Problem:

The worksheet asks: "How many ways can you find to make 10?"

Solution:

To solve this, we need to identify all possible pairs of whole numbers that add up to 10. Let's list them step by step:

1. Start with the smallest number (0) and find its complement to make 10:
- \( 0 + 10 = 10 \)

2. Move to the next number (1) and find its complement:
- \( 1 + 9 = 10 \)

3. Continue this process incrementally:
- \( 2 + 8 = 10 \)
- \( 3 + 7 = 10 \)
- \( 4 + 6 = 10 \)
- \( 5 + 5 = 10 \)
- \( 6 + 4 = 10 \)
- \( 7 + 3 = 10 \)
- \( 8 + 2 = 10 \)
- \( 9 + 1 = 10 \)
- \( 10 + 0 = 10 \)

Observations:

- Each pair is unique, and the order of numbers in each pair matters (e.g., \( 1 + 9 \) is different from \( 9 + 1 \)).
- There are 11 distinct pairs in total.

Final Answer:

The pairs of numbers that add up to 10 are:
\[
\boxed{
\begin{aligned}
&0 + 10 = 10 \\
&1 + 9 = 10 \\
&2 + 8 = 10 \\
&3 + 7 = 10 \\
&4 + 6 = 10 \\
&5 + 5 = 10 \\
&6 + 4 = 10 \\
&7 + 3 = 10 \\
&8 + 2 = 10 \\
&9 + 1 = 10 \\
&10 + 0 = 10
\end{aligned}
}
\]

There are 11 ways to make 10 using pairs of whole numbers.