Solve the Multiplication Problem: 3 × 3 Basic Number Facts

Q: Why is 3 × 3 equal to 9 and not 6?

Multiplication means repeated addition! When you see 3 × 3, think of it as three groups of three: 3 + 3 + 3 = 9. Addition would just be 3 + 3 = 6.

Q: How can I remember this multiplication fact?

Try visualization! Picture 3 rows of 3 dots each. Count all the dots and you'll get 9. You can also use your fingers: hold up 3 fingers three times!

Q: What if I accidentally add instead of multiply?

Always double-check the operation symbol! × means multiply, + means add. If you see ×, think 'groups of' not 'plus'.

Q: How do I know when the answer should be positive?

When multiplying two positive numbers, the answer is always positive! Since both 3's are positive, 3 × 3 = +9.

Basic Multiplication with Positive Integer Facts

Complete the following exercise?

$3\cdot3=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:05 Positive times positive is always positive

00:11 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following exercise?

$3\cdot3=$

Step-by-step solution

Let's remember the rule:

$(+x)\times(+x)=+x$

Therefore, the sign of the exercise result will be positive:

$+3\times+3=+9$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: When multiplying positive numbers, the result is always positive
Technique: Use repeated addition: 3 + 3 + 3 = 9
Check: Count in groups of 3 three times: 3, 6, 9 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't think 3 × 3 means 3 + 3 = 6! This adds the number instead of multiplying it by how many groups you have. Always remember multiplication means 'groups of': 3 groups of 3 equals 9.

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

FAQ

Everything you need to know about this question

Why is 3 × 3 equal to 9 and not 6?

Multiplication means repeated addition! When you see 3 × 3, think of it as three groups of three: 3 + 3 + 3 = 9. Addition would just be 3 + 3 = 6.

How can I remember this multiplication fact?

Try visualization! Picture 3 rows of 3 dots each. Count all the dots and you'll get 9. You can also use your fingers: hold up 3 fingers three times!

Is there a pattern with multiplying the same number twice?

Yes! When you multiply a number by itself, you're finding its square. So 3 × 3 = 3² = 9. Other examples: 2 × 2 = 4, 4 × 4 = 16.

What if I accidentally add instead of multiply?

Always double-check the operation symbol! × means multiply, + means add. If you see ×, think 'groups of' not 'plus'.

How do I know when the answer should be positive?

When multiplying two positive numbers, the answer is always positive! Since both 3's are positive, 3 × 3 = +9.

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