Solve the Multiplication: 0 × 1000 = ?

Q: Why is zero times any number always zero?

Think of multiplication as repeated addition. If you add zero to itself 1000 times, you still get zero! $ 0 + 0 + 0 + ... $ (1000 times) = 0.

Q: Does it matter which number comes first?

Not at all! Multiplication is commutative, so $ 0 \times 1000 $ gives the same result as $ 1000 \times 0 $ - both equal zero.

Q: What if the number was even bigger, like a million?

The zero property works for any size number! Whether it's $ 0 \times 100 $, $ 0 \times 1000 $, or $ 0 \times 1,000,000 $, the answer is always zero.

Q: Is this the same as dividing by zero?

No, these are completely different! Multiplying by zero always gives zero and is perfectly fine. Dividing by zero is undefined and not allowed in mathematics.

Q: How can I remember this rule?

Remember: "Zero wipes out everything!" No matter how big or small the other number is, zero multiplication always results in zero. It's like having zero groups of something.

Zero Property with Large Numbers

$0\times1000=$

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Step-by-step video solution

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00:00 Solve

00:03 0 multiplied by any number always equals 0

00:08 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$0\times1000=$

Step-by-step solution

To solve the problem $0 \times 1000$ , we employ the fundamental property of zero in multiplication, which states that any number multiplied by zero equals zero. This is an elementary concept crucial in understanding basic arithmetic operations.

Step 1: Identify the numbers involved in the multiplication. Here, we have two numbers: zero ( $0$ ) and one thousand ( $1000$ ).

Step 2: Apply the property of zero in multiplication. According to this property, multiplying any number by zero yields zero. This can be summarized by the formula: $a \times 0 = 0$ for any real number $a$ .

Step 3: Calculate $0 \times 1000$ using the property: $0 \times 1000 = 0$ .

Thus, the solution to the problem is 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 $a \times 0 = 0$ where a = 1000
Check: Verify that $0 \times 1000 = 0$ follows the zero rule ✓

Common Mistakes

Avoid these frequent errors

Thinking the size of the number matters
Don't assume that because 1000 is large, the answer changes = getting 1000 or 100 instead of 0! The size of the non-zero number is irrelevant when multiplying by zero. Always remember that zero times ANY number equals zero.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why is zero times any number always zero?

Think of multiplication as repeated addition. If you add zero to itself 1000 times, you still get zero! $0 + 0 + 0 + ...$ (1000 times) = 0.

Does it matter which number comes first?

Not at all! Multiplication is commutative, so $0 \times 1000$ gives the same result as $1000 \times 0$ - both equal zero.

What if the number was even bigger, like a million?

The zero property works for any size number! Whether it's $0 \times 100$ , $0 \times 1000$ , or $0 \times 1,000,000$ , the answer is always zero.

Is this the same as dividing by zero?

No, these are completely different! Multiplying by zero always gives zero and is perfectly fine. Dividing by zero is undefined and not allowed in mathematics.

How can I remember this rule?

Remember: "Zero wipes out everything!" No matter how big or small the other number is, zero multiplication always results in zero. It's like having zero groups of something.

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