Solve the Basic Equation: Finding the Product of 0×4

Q: Why does zero times anything equal zero?

Think of multiplication as repeated addition. $ 0 \times 4 $ means "add zero to itself 4 times" which gives 0 + 0 + 0 + 0 = 0!

Q: What if the zero comes second, like 4 × 0?

The order doesn't matter! Both $ 0 \times 4 $ and $ 4 \times 0 $ equal zero because of the Multiplicative Property of Zero.

Q: Does this work with bigger numbers too?

Absolutely! Whether it's $ 0 \times 100 $ or $ 0 \times 1,000,000 $, the answer is always zero. Zero is like a "multiplication eraser"!

Q: What about zero divided by a number?

That's different! $ 0 \div 4 = 0 $ because "how many 4s fit into 0?" is zero. But never divide by zero - that's undefined!

Q: How can I remember this rule?

Think: "Zero is greedy - it takes everything and gives back nothing!" When zero multiplies with any number, it "eats" the result and leaves zero.

Zero Property with Basic Multiplication

$0\times4=$

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Step-by-step video solution

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00:00 Solve

00:04 0 multiplied by any number always equals 0

00:09 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$0\times4=$

Step-by-step solution

To solve this problem, we'll apply the Multiplicative Property of Zero:

Step 1: Identify the numbers involved in the operation, which are 0 and 4.
Step 2: Apply the Multiplicative Property of Zero, which states that any number multiplied by 0 is 0.
Step 3: Calculate $0 \times 4$ .

Now, let's work through each step:
Step 1: We have the numbers 0 and 4 in the multiplication operation.
Step 2: According to the Multiplicative Property of Zero, $0 \times n = 0$ for any number $n$ . Here, $n$ is 4.
Step 3: Substituting $n = 4$ into the property, we get $0 \times 4 = 0$ .

Therefore, the solution to the problem is $0$ (choice 1).

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number multiplied by zero always equals zero
Technique: Apply $0 \times 4 = 0$ using multiplicative property
Check: Zero times any number gives zero: $0 \times 4 = 0$ ✓

Common Mistakes

Avoid these frequent errors

Thinking zero times four equals four
Don't think $0 \times 4 = 4$ because you see the 4! This confuses multiplication with addition or copying. The zero makes everything disappear. Always remember: zero multiplied by anything gives zero.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does zero times anything equal zero?

Think of multiplication as repeated addition. $0 \times 4$ means "add zero to itself 4 times" which gives 0 + 0 + 0 + 0 = 0!

What if the zero comes second, like 4 × 0?

The order doesn't matter! Both $0 \times 4$ and $4 \times 0$ equal zero because of the Multiplicative Property of Zero.

Does this work with bigger numbers too?

Absolutely! Whether it's $0 \times 100$ or $0 \times 1,000,000$ , the answer is always zero. Zero is like a "multiplication eraser"!

What about zero divided by a number?

That's different! $0 \div 4 = 0$ because "how many 4s fit into 0?" is zero. But never divide by zero - that's undefined!

How can I remember this rule?

Think: "Zero is greedy - it takes everything and gives back nothing!" When zero multiplies with any number, it "eats" the result and leaves zero.

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