Solve the Basic Multiplication: 5 × 3 Step by Step

Q: Why is 5 × 3 the same as 3 × 5?

This is called the commutative property! Whether you have 5 groups of 3 or 3 groups of 5, you end up with the same total. Both equal 15.

Q: How do I remember multiplication facts like 5 × 3?

Try skip counting! For 5 × 3, count by fives three times: 5, 10, 15. Or use your fingers to make three groups of five.

Q: What does the × symbol mean exactly?

The × symbol means 'groups of'. So 5 × 3 means three groups of five, or taking the number 5 exactly 3 times.

Q: Do I need to worry about positive and negative signs?

For basic problems like this, both numbers are positive, so your answer is positive too. The sign rule $ (+) \times (+) = (+) $ applies here.

Q: What if I get confused between 2, 8, 15, and 30?

Use estimation! Since 5 × 3 means 5 taken 3 times, it must be bigger than 5 but not huge. Only 15 makes sense as a reasonable answer.

Basic Multiplication with Sign Rules

Complete the following exercise:

$5\cdot3=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Positive times positive always equals 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:

$5\cdot3=$

Step-by-step solution

Let's remember the rule:

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

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

$+5\times+3=+15$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Positive times positive always equals positive result
Technique: Calculate 5 × 3 = 15 by counting groups
Check: Count three groups of five: 5 + 5 + 5 = 15 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't add 5 + 3 = 8 instead of multiplying! Addition combines quantities while multiplication counts repeated groups. Always think '5 taken 3 times' not '5 plus 3'.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$(+6)\cdot(+9)=$

FAQ

Everything you need to know about this question

Why is 5 × 3 the same as 3 × 5?

This is called the commutative property! Whether you have 5 groups of 3 or 3 groups of 5, you end up with the same total. Both equal 15.

How do I remember multiplication facts like 5 × 3?

Try skip counting! For 5 × 3, count by fives three times: 5, 10, 15. Or use your fingers to make three groups of five.

What does the × symbol mean exactly?

The × symbol means 'groups of'. So 5 × 3 means three groups of five, or taking the number 5 exactly 3 times.

Do I need to worry about positive and negative signs?

For basic problems like this, both numbers are positive, so your answer is positive too. The sign rule $(+) \times (+) = (+)$ applies here.

What if I get confused between 2, 8, 15, and 30?

Use estimation! Since 5 × 3 means 5 taken 3 times, it must be bigger than 5 but not huge. Only 15 makes sense as a reasonable answer.

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