What is a Number Family for 6?

S0-SA1-1218

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A Number Family for 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 through both adding and taking away.

Simple Example

Quick Example

Imagine you have 6 ladoos. You can have 4 ladoos in one hand and 2 ladoos in the other (4 + 2 = 6). If you give away 2 ladoos, you are left with 4 (6 - 2 = 4). This group (4, 2, 6) forms a number family.

Worked Example

Step-by-Step

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

Step 1: Start with an addition fact that makes 6. We know 3 + 3 = 6.

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Step 2: Can we swap the numbers in addition? Yes, but since both are 3, it's still 3 + 3 = 6.

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Step 3: Now, let's use subtraction. Start with the biggest number (6) and subtract one of the smaller numbers (3). So, 6 - 3 = 3.

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Step 4: Are there any other subtraction facts? Since both smaller numbers are 3, 6 - 3 = 3 is the only unique subtraction fact.

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Answer: The Number Family for 6 using 3, 3, and 6 is: 3 + 3 = 6, and 6 - 3 = 3.

Why It Matters

Understanding number families helps you solve math problems faster by seeing connections between addition and subtraction. This skill is crucial for careers like a shopkeeper managing inventory, a cricket scorekeeper calculating runs, or even a software developer writing code that handles numbers.

Common Mistakes

MISTAKE: Only listing addition facts | CORRECTION: Remember to include both addition AND subtraction facts in a number family.

MISTAKE: Using numbers that don't add up to or subtract from the target number (6) | CORRECTION: Always check that the numbers you choose can actually form facts for the target number.

MISTAKE: Not finding all possible facts for the chosen numbers | CORRECTION: For two different smaller numbers (e.g., 2 and 4 for 6), remember to do both 2+4=6 and 4+2=6, and 6-2=4 and 6-4=2.

Practice Questions

Try It Yourself

QUESTION: What is the Number Family for 6 using the numbers 1, 5, and 6? | ANSWER: 1 + 5 = 6, 5 + 1 = 6, 6 - 1 = 5, 6 - 5 = 1

QUESTION: Write down the Number Family for 6 using the numbers 2, 4, and 6. | ANSWER: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, 6 - 4 = 2

QUESTION: If a shopkeeper has 6 mangoes and sells 3, how many are left? Write the addition and subtraction facts related to this scenario to form a number family for 6. | ANSWER: 3 + 3 = 6, 6 - 3 = 3

MCQ

Quick Quiz

Which set of facts correctly forms a Number Family for 6 using the numbers 0, 6, and 6?

0 + 6 = 6, 6 - 0 = 6

6 + 0 = 6, 6 - 6 = 0

Both A and B

None of the above

The Correct Answer Is:

Both options A and B show correct addition and subtraction facts using the numbers 0, 6, and 6. A number family includes all related facts.

Real World Connection

In the Real World

When you buy items at a local kirana store, the shopkeeper quickly calculates your change. If your bill is ₹4 and you give ₹10, they need to figure out ₹10 - ₹4 = ₹6. This is part of a number family (4, 6, 10), helping them do mental math quickly.

Key Vocabulary

Key Terms

ADDITION: Putting numbers together to find a total | SUBTRACTION: Taking one number away from another | NUMBER FAMILY: A set of related addition and subtraction facts | FACTS: Mathematical statements that are true

What's Next

What to Learn Next

Great job learning about number families for 6! Next, you can explore number families for other numbers like 7 or 8. This will strengthen your understanding of how numbers relate and make you a math superstar!