Compose and Decompose Numbers Worksheets for Kids Online - SplashLearn - Free Printable

Problem Explanation:

The task involves filling in the missing numbers in a "number bond" diagram. A number bond is a visual representation that shows how a number can be broken down into two or more parts. For example, if we have the number 5, it can be broken down into pairs like \(2 + 3\), \(1 + 4\), etc.

The goal is to write three unique number bonds for each of the given numbers: 5, 6, and 7.

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Solution:

#### Step 1: Number Bonds of 5
We need to find three unique pairs of numbers that add up to 5.

1. \(5 = 1 + 4\)
2. \(5 = 2 + 3\)
3. \(5 = 0 + 5\)

So, the completed diagrams for 5 are:
- First diagram: \(5 = 1 + 4\)
- Second diagram: \(5 = 2 + 3\)
- Third diagram: \(5 = 0 + 5\)

#### Step 2: Number Bonds of 6
We need to find three unique pairs of numbers that add up to 6.

1. \(6 = 1 + 5\)
2. \(6 = 2 + 4\)
3. \(6 = 0 + 6\)

So, the completed diagrams for 6 are:
- First diagram: \(6 = 1 + 5\)
- Second diagram: \(6 = 2 + 4\)
- Third diagram: \(6 = 0 + 6\)

#### Step 3: Number Bonds of 7
We need to find three unique pairs of numbers that add up to 7.

1. \(7 = 1 + 6\)
2. \(7 = 2 + 5\)
3. \(7 = 3 + 4\)

So, the completed diagrams for 7 are:
- First diagram: \(7 = 1 + 6\)
- Second diagram: \(7 = 2 + 5\)
- Third diagram: \(7 = 3 + 4\)

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Final Answer:

The completed number bonds are:

1. Number Bonds of 5:
- \(5 = 1 + 4\)
- \(5 = 2 + 3\)
- \(5 = 0 + 5\)

2. Number Bonds of 6:
- \(6 = 1 + 5\)
- \(6 = 2 + 4\)
- \(6 = 0 + 6\)

3. Number Bonds of 7:
- \(7 = 1 + 6\)
- \(7 = 2 + 5\)
- \(7 = 3 + 4\)

Thus, the final answer is:
\[
\boxed{
\begin{array}{ccc}
5 = 1 + 4 & 5 = 2 + 3 & 5 = 0 + 5 \\
6 = 1 + 5 & 6 = 2 + 4 & 6 = 0 + 6 \\
7 = 1 + 6 & 7 = 2 + 5 & 7 = 3 + 4
\end{array}
}
\]