What is a Number Family of 6?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A Number Family of 6 is a group of addition and subtraction facts that use the same three numbers to make 6. It shows how these numbers are related to each other through addition and subtraction. Think of it like a small family where everyone is connected!

Simple Example

Quick Example

Imagine you have 6 ladoos. You can have 4 ladoos and your friend has 2 ladoos. So, 4 + 2 = 6. This also means if you start with 6 ladoos and eat 2, you have 4 left (6 - 2 = 4). These numbers (4, 2, and 6) are part of the Number Family of 6.

Worked Example

Step-by-Step

Let's find the Number Family of 6 using the numbers 3, 3, and 6.

Step 1: Start with an addition fact. How can you add two numbers to get 6? We can use 3 + 3 = 6.

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Step 2: Now, let's find another addition fact. Since both numbers are the same (3 and 3), the order doesn't change the sum. So, 3 + 3 = 6 is the only addition fact with these numbers.

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Step 3: Move to subtraction. If we start with the total (6) and take away one of the parts (3), what do we get? 6 - 3 = 3.

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Step 4: Now, try taking away the other part. Again, since both parts are 3, the subtraction fact remains 6 - 3 = 3.

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The Number Family of 6 for the numbers 3, 3, and 6 is: 3 + 3 = 6, 6 - 3 = 3.

Why It Matters

Understanding number families helps you solve math problems faster and builds a strong foundation for algebra. It's useful for everyday tasks like calculating change at a shop or figuring out how many ingredients you need for a recipe. Even engineers use these basic relationships when designing structures or circuits!

Common Mistakes

MISTAKE: Only writing addition facts and forgetting subtraction facts. | CORRECTION: Remember that a number family includes both addition and subtraction facts using the same set of numbers.

MISTAKE: Using numbers that don't add up to the target number (6 in this case). | CORRECTION: Always check that the two smaller numbers add up to the largest number in the family.

MISTAKE: Not writing all possible facts (e.g., only 2+4=6 but not 4+2=6). | CORRECTION: For distinct numbers, remember to swap the order for addition (e.g., 2+4 and 4+2) and for subtraction (e.g., 6-2 and 6-4).

Practice Questions

Try It Yourself

QUESTION: What are the addition facts for the Number Family of 6 using the numbers 5, 1, and 6? | ANSWER: 5 + 1 = 6 and 1 + 5 = 6

QUESTION: Write all the subtraction facts for the Number Family of 6 using the numbers 4, 2, and 6. | ANSWER: 6 - 4 = 2 and 6 - 2 = 4

QUESTION: Complete the Number Family of 6 using the numbers 0, 6, and 6. | ANSWER: 0 + 6 = 6, 6 + 0 = 6, 6 - 0 = 6, 6 - 6 = 0

MCQ

Quick Quiz

Which set of facts belongs to the Number Family of 6?

3 + 2 = 5, 5 - 2 = 3

4 + 2 = 6, 6 - 4 = 2, 6 - 2 = 4

5 + 2 = 7, 7 - 5 = 2

1 + 6 = 7, 7 - 1 = 6

The Correct Answer Is:

Option B uses the numbers 4, 2, and 6, where 4 + 2 = 6, and the subtraction facts 6 - 4 = 2 and 6 - 2 = 4 are correct. The other options involve different sums or numbers.

Real World Connection

In the Real World

When you're sharing a packet of 6 biscuits with your friends, you're using number families! If you eat 3, you know 3 are left. If you give 2 to a friend, you know 4 are left. This helps you quickly calculate shares without needing a calculator, just like shopkeepers quickly calculate change for customers.

Key Vocabulary

Key Terms

ADDITION: Putting numbers together to find a total | SUBTRACTION: Taking one number away from another to find the difference | FACT FAMILY: A group of related addition and subtraction facts | TOTAL: The result of adding numbers together

What's Next

What to Learn Next

Great job learning about the Number Family of 6! Next, you can explore Number Families for other numbers, like 7 or 8. This will strengthen your understanding of how addition and subtraction are connected and prepare you for bigger math challenges!