What is a Number Family of 14?

S0-SA1-1248

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A 'Number Family of 14' is a group of addition and subtraction facts that all use the number 14 and its parts. It shows different ways to make 14 by adding, and how 14 can be broken down by subtracting.

Simple Example

Quick Example

Imagine you have 14 laddoos. You can have 10 laddoos in one box and 4 laddoos in another (10 + 4 = 14). Or, if you start with 14 laddoos and eat 4, you're left with 10 (14 - 4 = 10). These are part of the number family of 14.

Worked Example

Step-by-Step

Let's find some members of the Number Family of 14:
1. Start with addition: What two numbers add up to 14?
2. Try 7 + 7. Yes, 7 + 7 = 14.
3. Now, use these numbers for subtraction. If we have 14 and take away 7, we get 7. So, 14 - 7 = 7.
4. Let's try another pair: What if we have 10? To reach 14, we need 4 more. So, 10 + 4 = 14.
5. From 10 + 4 = 14, we get two subtraction facts: 14 - 4 = 10 and 14 - 10 = 4.
Answer: Some members are 7 + 7 = 14, 14 - 7 = 7, 10 + 4 = 14, 14 - 4 = 10, 14 - 10 = 4.

Why It Matters

Understanding number families helps you solve problems faster and understand how numbers relate to each other. This skill is crucial for careers like shopkeepers managing inventory, engineers calculating measurements, or even data analysts making sense of figures.

Common Mistakes

MISTAKE: Only thinking about addition facts | CORRECTION: Remember that a number family includes both addition AND subtraction facts that use the same numbers.

MISTAKE: Not using all three numbers in the family (e.g., for 10, 4, 14, only writing 10 + 4 = 14) | CORRECTION: For each addition fact (like 10 + 4 = 14), there are two related subtraction facts (14 - 4 = 10 and 14 - 10 = 4).

MISTAKE: Mixing up the target number. For example, trying to find facts for 12 when the family is 14. | CORRECTION: Always ensure your sums or differences correctly equal the main number of the family, which is 14 in this case.

Practice Questions

Try It Yourself

QUESTION: Write one addition fact for the Number Family of 14 using the numbers 8 and 6. | ANSWER: 8 + 6 = 14

QUESTION: If you know 5 + 9 = 14, write two subtraction facts for the Number Family of 14. | ANSWER: 14 - 5 = 9 and 14 - 9 = 5

QUESTION: Find all four facts (two addition, two subtraction) for the Number Family of 14 using the numbers 11, 3, and 14. | ANSWER: 11 + 3 = 14, 3 + 11 = 14, 14 - 3 = 11, 14 - 11 = 3

MCQ

Quick Quiz

Which of these is NOT part of the Number Family of 14?

14 - 2 = 12

10 + 4 = 14

14 - 7 = 7

9 + 6 = 15

The Correct Answer Is:

Options A, B, and C all involve the number 14 as either the sum or the starting number for subtraction. Option D, 9 + 6 = 15, equals 15, not 14, so it's not part of the Number Family of 14.

Real World Connection

In the Real World

When you're counting change at a shop, like if an item costs Rs. 14 and you pay with a Rs. 20 note, you mentally use number families. You know 20 - 14 = 6, so you expect Rs. 6 back. Similarly, when you budget your daily pocket money, you use these number relationships.

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 math facts using the same numbers | SUM: The total when numbers are added together

What's Next

What to Learn Next

Great job understanding number families! Next, you can explore 'Number Families of other numbers' like 15 or 20. This will help you build even stronger number sense and prepare you for more complex math problems.