What is a Number Fact for 17?

S0-SA1-0659

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A number fact for 17 is any mathematical equation (like addition, subtraction, multiplication, or division) where the number 17 is involved as a main part of the equation or its answer. These facts help us understand how 17 relates to other numbers.

Simple Example

Quick Example

Imagine you have 10 cricket balls and your friend gives you 7 more. The total number of balls you have is 17. So, 10 + 7 = 17 is a number fact for 17.

Worked Example

Step-by-Step

Let's find some addition number facts for 17.

Step 1: Start with a small number, say 1. What do we add to 1 to get 17?
1 + ? = 17
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Step 2: To find the missing number, subtract 1 from 17.
17 - 1 = 16
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Step 3: So, 1 + 16 = 17 is an addition fact for 17.
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Step 4: Now, let's try another one. What if we start with 8?
8 + ? = 17
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Step 5: Subtract 8 from 17.
17 - 8 = 9
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Step 6: So, 8 + 9 = 17 is another addition fact for 17.

Answer: 1 + 16 = 17 and 8 + 9 = 17 are number facts for 17.

Why It Matters

Understanding number facts helps you do calculations faster and solve math problems easily. This skill is crucial for careers like being an accountant managing finances, an engineer designing structures, or even a shopkeeper calculating bills quickly.

Common Mistakes

MISTAKE: Only thinking of addition facts for 17 | CORRECTION: Remember that subtraction, multiplication, and division facts can also involve 17. For example, 20 - 3 = 17 is a subtraction fact.

MISTAKE: Confusing number facts with multiples of a number | CORRECTION: Number facts are about how numbers combine to make 17, or how 17 combines with others. Multiples are what you get when you multiply a number by whole numbers (e.g., multiples of 2 are 2, 4, 6...).

MISTAKE: Not checking if the equation actually equals 17 | CORRECTION: Always double-check your addition, subtraction, multiplication, or division to ensure the result or one of the numbers in the equation is indeed 17.

Practice Questions

Try It Yourself

QUESTION: Find a subtraction fact for 17 where 17 is the answer. | ANSWER: 25 - 8 = 17

QUESTION: Can you find a multiplication fact that results in 17? Why or why not? | ANSWER: No, you cannot find a multiplication fact (using whole numbers other than 1 and 17) that results in 17, because 17 is a prime number. Only 1 x 17 = 17 works.

QUESTION: If you have 17 samosas and want to share them equally among 3 friends, how many samosas does each friend get, and how many are left over? Write this as a division fact. | ANSWER: Each friend gets 5 samosas, and 2 are left over. This can be written as 17 ÷ 3 = 5 remainder 2.

MCQ

Quick Quiz

Which of the following is NOT a number fact for 17?

12 + 5 = 17

19 - 2 = 17

3 x 5 = 15

17 + 0 = 17

The Correct Answer Is:

Option C (3 x 5 = 15) does not involve 17 as either a part of the equation or the answer. All other options directly relate to 17.

Real World Connection

In the Real World

Knowing number facts helps you in daily life, like when you're calculating change after buying groceries at the local kirana store, or if you're keeping score in a gully cricket match and need to quickly add runs to reach a target of 17 runs in the last over.

Key Vocabulary

Key Terms

ADDITION: Putting numbers together to find a total | SUBTRACTION: Taking one number away from another | PRIME NUMBER: A whole number greater than 1 that has only two factors: 1 and itself | EQUATION: A statement that two mathematical expressions are equal

What's Next

What to Learn Next

Great job understanding number facts for 17! Next, you can explore number facts for other numbers like 20 or 25. This will strengthen your number sense and make you super quick with mental math!