What is a Fact Family for 14?

S0-SA1-1313

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A Fact Family for a number like 14 is a group of related addition and subtraction facts that use the same three numbers. Think of it like a family where all members are connected! These three numbers are usually two smaller numbers that add up to the larger number.

Simple Example

Quick Example

Imagine you have 14 laddoos. If you eat 8 laddoos and your friend eats 6 laddoos, together you ate 14 laddoos. This means 8 + 6 = 14. From this, we can also say 6 + 8 = 14, 14 - 8 = 6, and 14 - 6 = 8. These four statements form a fact family for 14 using the numbers 8, 6, and 14.

Worked Example

Step-by-Step

Let's find the fact family for 14 using the numbers 5 and 9.

Step 1: Identify the three numbers. We have 5, 9, and 14.

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Step 2: Write the first addition fact. Add the two smaller numbers to get the larger number. So, 5 + 9 = 14.

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Step 3: Write the second addition fact. Swap the order of the two smaller numbers. So, 9 + 5 = 14.

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Step 4: Write the first subtraction fact. Start with the largest number and subtract one of the smaller numbers. So, 14 - 5 = 9.

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Step 5: Write the second subtraction fact. Start with the largest number and subtract the other smaller number. So, 14 - 9 = 5.

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Answer: The fact family for 14 using 5 and 9 is: 5 + 9 = 14, 9 + 5 = 14, 14 - 5 = 9, and 14 - 9 = 5.

Why It Matters

Understanding fact families helps you see the relationship between addition and subtraction, which is super important for mental math and solving problems faster. It's like learning shortcuts! This skill is useful for careers in finance, where you balance budgets, or in logistics, where you track inventory.

Common Mistakes

MISTAKE: Using four different numbers in the family. | CORRECTION: A fact family always uses only three numbers. Two smaller numbers and their sum.

MISTAKE: Confusing the order in subtraction, e.g., 5 - 14 = 9. | CORRECTION: In subtraction for a fact family, you always start with the largest number and subtract one of the smaller numbers.

MISTAKE: Not including all four facts (two addition, two subtraction). | CORRECTION: Remember, a complete fact family has two addition facts and two subtraction facts, unless the two smaller numbers are the same (like 7+7=14).

Practice Questions

Try It Yourself

QUESTION: What are the four facts in the fact family for 14 using the numbers 7 and 7? | ANSWER: 7 + 7 = 14, 14 - 7 = 7

QUESTION: If 14 - 3 = 11 is one fact, what are the other three facts in its family? | ANSWER: 3 + 11 = 14, 11 + 3 = 14, 14 - 11 = 3

QUESTION: Your mom bought 14 samosas. You ate some, and 6 are left. What fact family helps you find how many you ate? List the family. | ANSWER: The numbers are 14, 6, and 8. The fact family is: 6 + 8 = 14, 8 + 6 = 14, 14 - 6 = 8, 14 - 8 = 6. You ate 8 samosas.

MCQ

Quick Quiz

Which set of facts forms a complete fact family for 14 using the numbers 4 and 10?

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

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

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

4 + 10 = 14, 10 + 4 = 14, 14 + 4 = 18

The Correct Answer Is:

Option B is correct because it includes all four related facts: two addition facts (4+10=14, 10+4=14) and two subtraction facts (14-4=10, 14-10=4). The other options are missing one or more facts, or include incorrect facts.

Real World Connection

In the Real World

Imagine you're managing a small shop's daily cash. If you start with 1400 rupees and then spend 800 rupees on supplies, you need to quickly figure out how much is left (1400 - 800 = 600). The next day, if you earn 800 rupees and already had 600, you need to know your total (600 + 800 = 1400). This is exactly how fact families help you do quick mental calculations for money management, whether it's for your pocket money or a small business.

Key Vocabulary

Key Terms

Fact Family: A group of related addition and subtraction facts using the same three numbers | Addition: Combining numbers to find a total | Subtraction: Taking one number away from another to find the difference | Sum: The result of adding two or more numbers

What's Next

What to Learn Next

Great job understanding fact families! Next, you can explore 'Inverse Operations'. This concept builds on fact families by showing how addition and subtraction 'undo' each other, which is a fundamental idea in all of mathematics!