What is a Number Family for 5?

S0-SA1-1217

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A Number Family for 5 shows all the different ways you can make the number 5 by adding or subtracting two smaller numbers. It helps us understand how numbers are related to each other through basic operations.

Simple Example

Quick Example

Imagine you have 5 delicious ladoos. You can eat 2 ladoos and your friend eats 3 ladoos, and together you've eaten 5. Or you can eat 4 ladoos and your friend eats 1. These pairs (2 and 3, 4 and 1) are part of the Number Family for 5.

Worked Example

Step-by-Step

Let's find the Number Family for 5 using addition and subtraction.

Step 1: Start with addition. What two whole numbers add up to 5?
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Step 2: We can have 0 + 5 = 5. So, (0, 5) is a pair.
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Step 3: We can have 1 + 4 = 5. So, (1, 4) is a pair.
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Step 4: We can have 2 + 3 = 5. So, (2, 3) is a pair.
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Step 5: We can also reverse these: 5 + 0 = 5, 4 + 1 = 5, 3 + 2 = 5.
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Step 6: Now for subtraction. If we start with 5, what numbers can we subtract to get another number in the family? 5 - 0 = 5, 5 - 1 = 4, 5 - 2 = 3, 5 - 3 = 2, 5 - 4 = 1, 5 - 5 = 0.
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Answer: The Number Family for 5 includes pairs like (0, 5), (1, 4), (2, 3) and their reverse, showing how they add up to 5 or how 5 can be broken down by subtraction.

Why It Matters

Understanding number families builds a strong foundation for all maths. It's crucial for quick mental calculations and problem-solving in everyday life. This skill is used by shopkeepers calculating change, engineers designing structures, and even game developers coding scores.

Common Mistakes

MISTAKE: Only thinking about addition and forgetting subtraction. | CORRECTION: Remember that a number family includes both addition and subtraction facts that link the numbers together.

MISTAKE: Only finding one pair of numbers that make up the target number. | CORRECTION: Systematically list all possible pairs, starting from 0 and going up, to ensure you don't miss any.

MISTAKE: Confusing number families with multiplication tables. | CORRECTION: Number families focus on addition and subtraction relationships, while multiplication tables show repeated addition or scaling.

Practice Questions

Try It Yourself

QUESTION: Which pair completes the Number Family for 5: (3, ?) | ANSWER: (3, 2)

QUESTION: List all the addition pairs that make up the Number Family for 5. | ANSWER: (0, 5), (1, 4), (2, 3), (3, 2), (4, 1), (5, 0)

QUESTION: If you have 5 rupees and spend 2 rupees on a toffee, how many rupees are left? Which subtraction fact from the Number Family for 5 does this show? | ANSWER: 3 rupees are left. This shows 5 - 2 = 3.

MCQ

Quick Quiz

Which of these is NOT part of the addition Number Family for 5?

2 + 3

1 + 4

5 + 0

6 + 1

The Correct Answer Is:

Options A, B, and C all add up to 5. Option D, 6 + 1, adds up to 7, so it is not part of the addition Number Family for 5.

Real World Connection

In the Real World

When you're helping your parents count vegetables at the market, like 5 potatoes, you might group them as 2 big ones and 3 small ones. Or when you're checking how many wickets your favourite cricket team needs to win (say, 5 more wickets), you calculate how many batsmen are left to get out. These are everyday uses of number families.

Key Vocabulary

Key Terms

ADDITION: Combining numbers to find a total | SUBTRACTION: Taking one number away from another | NUMBER FAMILY: A set of numbers related by addition and subtraction facts | PAIR: Two numbers that work together in a number family

What's Next

What to Learn Next

Once you master the Number Family for 5, you can move on to larger numbers like 10 or 20. This will make understanding addition and subtraction of bigger numbers much easier and help you with concepts like place value and carrying over.