What is a Number Family of 5?

S0-SA1-1241

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A Number Family of 5 shows all the different ways you can add or subtract numbers to get 5. It's like a small group of numbers that are all related to each other through the number 5 using addition and subtraction.

Simple Example

Quick Example

Imagine you have 5 delicious ladoos. You can have 5 ladoos and 0 more, or 4 ladoos and 1 more, or 3 ladoos and 2 more. These are all part of the 'ladoo family of 5' because they add up to 5.

Worked Example

Step-by-Step

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

Step 1: Start with addition. What two numbers add up to 5?

Step 2: We can have 5 + 0 = 5.

Step 3: We can also have 4 + 1 = 5.

Step 4: And 3 + 2 = 5.

Step 5: Now, let's use subtraction. From these addition facts, we can make subtraction facts.

Step 6: From 5 + 0 = 5, we get 5 - 0 = 5 and 5 - 5 = 0.

Step 7: From 4 + 1 = 5, we get 5 - 1 = 4 and 5 - 4 = 1.

Step 8: From 3 + 2 = 5, we get 5 - 2 = 3 and 5 - 3 = 2.

Answer: The Number Family of 5 includes all these addition and subtraction facts: (5+0=5, 0+5=5, 5-0=5, 5-5=0), (4+1=5, 1+4=5, 5-1=4, 5-4=1), (3+2=5, 2+3=5, 5-2=3, 5-3=2).

Why It Matters

Understanding number families builds a strong foundation for all maths, from basic arithmetic to complex algebra. It helps you quickly solve problems in daily life, like calculating change at a shop or managing your pocket money. Engineers and scientists use similar logic to break down complex problems.

Common Mistakes

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

MISTAKE: Missing some combinations, like 0 + 5 or 1 + 4. | CORRECTION: Always start systematically, for example, from 0 and go up (0+5, 1+4, 2+3) to make sure you don't miss any pairs.

MISTAKE: Confusing the 'target' number (like 5) with the numbers that make it up. | CORRECTION: The number family is *about* that target number. All the facts will either add up to it or subtract from it.

Practice Questions

Try It Yourself

QUESTION: Which of these is NOT part of the Number Family of 5? (A) 2 + 3 = 5 (B) 5 - 1 = 4 (C) 1 + 3 = 4 (D) 0 + 5 = 5 | ANSWER: C

QUESTION: Write down all the addition facts that belong to the Number Family of 5. | ANSWER: 0 + 5 = 5, 1 + 4 = 5, 2 + 3 = 5, 3 + 2 = 5, 4 + 1 = 5, 5 + 0 = 5

QUESTION: If you know that 2 + 3 = 5, what two subtraction facts can you form for the Number Family of 5? | ANSWER: 5 - 2 = 3 and 5 - 3 = 2

MCQ

Quick Quiz

Which set of numbers correctly shows a part of the Number Family of 5?

2005-03-02T00:00:00.000Z

2006-04-02T00:00:00.000Z

2004-01-03T00:00:00.000Z

2010-05-05T00:00:00.000Z

The Correct Answer Is:

Option A (3, 2, 5) is correct because 3 + 2 = 5 and 5 - 2 = 3, 5 - 3 = 2. The other options do not form addition or subtraction facts related to the number 5.

Real World Connection

In the Real World

When you're sharing 5 gulab jamuns with your friend, you might give 3 to them and keep 2 for yourself. This is using the 3 + 2 = 5 fact. Or if you have 5 wickets left in a cricket match and need 2 more to win, you're looking at 5 - 2 = 3 (wickets remaining after taking 2).

Key Vocabulary

Key Terms

ADDITION: Putting numbers together to find a total | SUBTRACTION: Taking one number away from another to find the difference | NUMBER FAMILY: A group of related addition and subtraction facts using the same numbers | FACT: A true mathematical statement

What's Next

What to Learn Next

Great job learning about the Number Family of 5! Next, you can explore the Number Family of 10. This will help you master mental math and prepare for more complex calculations involving larger numbers.