Math- Partners of 10 worksheet - Free Printable

Let's solve this step by step.

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Problem 1: Write the 10-partners and the switched partners

We are given visual representations of numbers using dots (filled and empty). Each group has a total of 10 dots. The goal is to identify pairs of numbers that add up to 10 (called "10-partners") and their switched versions (commutative property).

#### Step 1: Analyze each dot pattern

Each row shows a combination of filled (●) and empty (○) dots, totaling 10.

Let’s go through them one by one:

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First group:
●●●●●●●●●○ → 9 filled, 1 empty
So:
- 9 + 1 = 10
- Switched: 1 + 9 = 10

Second group:
●●●●●●●●○○ → 8 filled, 2 empty
So:
- 8 + 2 = 10
- Switched: 2 + 8 = 10

Third group:
●●●●●●○○○○ → 6 filled, 4 empty
So:
- 6 + 4 = 10
- Switched: 4 + 6 = 10

Fourth group:
●●●●●○○○○○ → 5 filled, 5 empty
So:
- 5 + 5 = 10
- Switched: 5 + 5 = 10 (same)

Fifth group:
●●●●○○○○○○ → 4 filled, 6 empty
So:
- 4 + 6 = 10
- Switched: 6 + 4 = 10

Now fill in the blanks:

```
9 + 1 8 + 2 6 + 4 5 + 5 4 + 6
1 + 9 2 + 8 4 + 6 5 + 5 6 + 4
```

Now, for the number bonds (10 triangles):

Each triangle has 10 at the top, and two boxes below. We fill in the two numbers that make 10.

So:

- First: 9 and 1
- Second: 8 and 2
- Third: 6 and 4
- Fourth: 5 and 5
- Fifth: 4 and 6
- Then repeat for switched partners:
- 1 and 9
- 2 and 8
- 4 and 6
- 5 and 5
- 6 and 4

But since the problem asks for both partners and switched partners, we write each pair twice — once as original, once switched.

So the completed number bonds will be:

```
10 10 10 10 10
/ \ / \ / \ / \ / \
9 1 8 2 6 4 5 5 4 6

10 10 10 10 10
/ \ / \ / \ / \ / \
1 9 2 8 4 6 5 5 6 4
```

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Problem 2: Use patterns to solve

These are simple arithmetic problems based on number facts.

Let’s solve each:

#### Row 1:
- 7 + 1 = 8
- 9 + 1 = 10
- 1 + 8 = 9

#### Row 2:
- 10 - 1 = 9
- 7 - 1 = 6
- 9 - 1 = 8

#### Row 3:
- 9 + 0 = 9 (Adding zero doesn’t change number)
- 0 + 10 = 10
- 7 + 0 = 7

#### Row 4:
- 8 - 0 = 8 (Subtracting zero doesn’t change number)
- 7 - 0 = 7
- 10 - 0 = 10

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✔ Final Answer:

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#### 1. 10-Partners and Switched Partners

```
9 + 1 8 + 2 6 + 4 5 + 5 4 + 6
1 + 9 2 + 8 4 + 6 5 + 5 6 + 4
```

Number bonds:

```
10 10 10 10 10
/ \ / \ / \ / \ / \
9 1 8 2 6 4 5 5 4 6

10 10 10 10 10
/ \ / \ / \ / \ / \
1 9 2 8 4 6 5 5 6 4
```

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#### 2. Use patterns to solve

```
7 + 1 = 8 9 + 1 = 10 1 + 8 = 9
10 - 1 = 9 7 - 1 = 6 9 - 1 = 8
9 + 0 = 9 0 + 10 = 10 7 + 0 = 7
8 - 0 = 8 7 - 0 = 7 10 - 0 = 10
```

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📝 Explanation:

- 10-partners: Two numbers that add to 10 (e.g., 6 and 4).
- Switched partners: The commutative property — order doesn't matter (6+4 = 4+6).
- Patterns: Adding 0 keeps the number same; subtracting 0 also keeps it same. Subtracting 1 reduces by 1.
- These exercises build number sense and fluency with basic facts.

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