What is a Number Family for 14?

S0-SA1-1224

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A 'Number Family' for a number like 14 shows how different numbers are related through addition and subtraction. It's a group of three numbers where two smaller numbers add up to the largest number, and you can also use these three numbers to make two subtraction facts.

Simple Example

Quick Example

Imagine you have 14 laddoos. You can divide them into two groups, say 10 laddoos and 4 laddoos. So, 10 + 4 = 14. This also means 14 - 10 = 4 and 14 - 4 = 10. The numbers 10, 4, and 14 form a number family.

Worked Example

Step-by-Step

Let's find a Number Family for 14 using the numbers 8 and 6.
---Step 1: Identify the two smaller numbers and the largest number. Here, the two smaller numbers are 8 and 6, and the largest number is 14.
---Step 2: Write the addition fact. Add the two smaller numbers: 8 + 6 = 14. This shows they belong to the family.
---Step 3: Write the first subtraction fact. Start with the largest number and subtract one of the smaller numbers: 14 - 8 = 6.
---Step 4: Write the second subtraction fact. Start with the largest number and subtract the other smaller number: 14 - 6 = 8.
---Answer: The Number Family for 14 using 8 and 6 includes these facts: 8 + 6 = 14, 14 - 8 = 6, and 14 - 6 = 8.

Why It Matters

Understanding number families helps you solve math problems faster and build a strong foundation in arithmetic. This skill is crucial for careers like being an accountant, a shopkeeper managing inventory, or even a chef who needs to adjust recipe quantities.

Common Mistakes

MISTAKE: Students sometimes only write the addition fact and forget the subtraction facts. | CORRECTION: Remember, a number family always has two addition facts (though often one is a reordering) and two subtraction facts using the same three numbers.

MISTAKE: Mixing up the largest number with the smaller ones in subtraction. For example, writing 8 - 14 = 6. | CORRECTION: In a number family, for subtraction, you always start with the largest number and subtract one of the smaller numbers.

MISTAKE: Using numbers that don't actually add up to the target number. For example, saying 7, 5, and 14 form a family because 7 + 5 is not 14. | CORRECTION: Always check that the two smaller numbers correctly add up to the largest number.

Practice Questions

Try It Yourself

QUESTION: Which addition fact belongs to the number family for 14 if one part is 9? | ANSWER: 9 + 5 = 14

QUESTION: If 14 - 7 = 7 is a fact, what are the other three facts in this number family? | ANSWER: 7 + 7 = 14, 14 - 7 = 7 (repeated), 7 + 7 = 14 (repeated). (Note: This is a special case where two numbers are the same, so there are only two unique facts.)

QUESTION: You have 14 rupees. If you spend 6 rupees on a chai, how much money do you have left? Write the subtraction fact and the related addition fact that forms part of this number family. | ANSWER: 14 - 6 = 8 rupees left. The related addition fact is 6 + 8 = 14.

MCQ

Quick Quiz

Which set of facts correctly represents a number family for 14?

6 + 8 = 14, 14 - 6 = 8, 14 - 8 = 6

7 + 6 = 13, 13 - 7 = 6, 13 - 6 = 7

5 + 9 = 14, 9 - 5 = 4, 14 - 9 = 5

10 + 4 = 14, 4 - 10 = -6, 14 - 4 = 10

The Correct Answer Is:

Option A correctly shows two numbers (6 and 8) adding up to 14, and then two subtraction facts where 14 is the starting number. Options B and C have incorrect sums or subtraction facts. Option D has an incorrect subtraction fact (4 - 10).

Real World Connection

In the Real World

When you're at a grocery store and have 14 items in your cart, and you put 5 back, you instantly know you have 9 left (14 - 5 = 9). This is using a number family! Similarly, when a cricket team needs 14 runs to win and scores 7, they know they need 7 more (14 - 7 = 7).

Key Vocabulary

Key Terms

NUMBER FAMILY: A group of three numbers related by addition and subtraction | ADDITION FACT: A math sentence showing two numbers combining to make a total | SUBTRACTION FACT: A math sentence showing a number being taken away from another | RELATED FACTS: Math facts that use the same three numbers in different operations

What's Next

What to Learn Next

Great job understanding number families! Next, you can explore 'Fact Families for Multiplication and Division'. It's the same idea, but using multiplication and division instead of addition and subtraction, which will help you with more complex calculations.