Solve the Basic Equation: 5 × 0 Multiplication Problem

Q: Why is 5 × 0 equal to 0 instead of 5?

Think of multiplication as repeated addition. When you multiply 5 × 0, you're adding 5 zero times, which gives you nothing. Or you can think of it as adding 0 five times: 0 + 0 + 0 + 0 + 0 = 0!

Q: Does it matter which number comes first?

No, it doesn't! Multiplication is commutative, so 5 × 0 = 0 × 5 = 0. The zero property works regardless of order.

Q: Is this true for negative numbers too?

Yes! The zero property works with all numbers: positive, negative, fractions, and decimals. For example: (-3) × 0 = 0 and 0 × (-7) = 0.

Q: What if I have a really big number times zero?

It doesn't matter how big the number is! Whether it's $ 1000 \times 0 $ or $ 999,999 \times 0 $, the answer is always zero.

Q: How can I remember this rule?

Think of it this way: "Zero makes everything disappear!" When zero is involved in multiplication, it's like having nothing of something, so the result is always nothing (zero).

Multiplication Properties with Zero Factor

Complete the following exercise:

$5\cdot0=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem step by step!

00:09 Remember, multiplying a positive number by another positive number always gives a positive result.

00:15 Also, any number multiplied by zero is always zero.

00:19 And there you have it, that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following exercise:

$5\cdot0=$

Step-by-step solution

Let's recall the law:

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

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

$+5\times+0=+0$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number multiplied by zero always equals zero
Technique: Apply the rule directly: $5 \times 0 = 0$
Check: Verify using repeated addition: 0 + 0 + 0 + 0 + 0 = 0 ✓

Common Mistakes

Avoid these frequent errors

Thinking the answer equals the non-zero number
Don't assume 5 × 0 = 5 because 5 is the bigger number! This ignores the fundamental zero property and gives wrong results. Always remember that multiplying by zero makes everything disappear - the answer is always zero.

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 × 0 equal to 0 instead of 5?

Think of multiplication as repeated addition. When you multiply 5 × 0, you're adding 5 zero times, which gives you nothing. Or you can think of it as adding 0 five times: 0 + 0 + 0 + 0 + 0 = 0!

Does it matter which number comes first?

No, it doesn't! Multiplication is commutative, so 5 × 0 = 0 × 5 = 0. The zero property works regardless of order.

Is this true for negative numbers too?

Yes! The zero property works with all numbers: positive, negative, fractions, and decimals. For example: (-3) × 0 = 0 and 0 × (-7) = 0.

What if I have a really big number times zero?

It doesn't matter how big the number is! Whether it's $1000 \times 0$ or $999,999 \times 0$ , the answer is always zero.

How can I remember this rule?

Think of it this way: "Zero makes everything disappear!" When zero is involved in multiplication, it's like having nothing of something, so the result is always nothing (zero).

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