Calculate the Product: Solving 1000 × 0 Step by Step

Q: Why does any number times zero equal zero?

Think of multiplication as repeated addition. When you have $ 1000 \times 0 $, you're adding 1000 zero times, which means you add nothing at all, so the result is 0!

Q: Does it matter which number is zero?

Not at all! Whether it's $ 1000 \times 0 $ or $ 0 \times 1000 $, the answer is always zero. This is because multiplication is commutative (order doesn't matter).

Q: What if the number is really big, like a million?

Size doesn't matter with the zero property! Even $ 1,000,000 \times 0 = 0 $. The zero property works for any number, no matter how large or small.

Q: Is this different from adding zero?

Yes! Adding zero keeps the number the same: $ 1000 + 0 = 1000 $. But multiplying by zero always gives zero: $ 1000 \times 0 = 0 $.

Q: Can I use this rule for negative numbers too?

Absolutely! The zero property works for all numbers: $ -50 \times 0 = 0 $, $ 0 \times -200 = 0 $. Any number times zero is always zero.

Multiplication Rules with Zero Property

Complete the following exercise:

$1000\cdot0=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Positive times positive is always positive

00:06 Any number times 0 is always equal to 0

00:09 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:

$1000\cdot0=$

Step-by-step solution

Let's remember the rule:

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

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

$+1000\times+0=+0$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number multiplied by zero always equals zero
Technique: $1000 \times 0 = 0$ regardless of the first number
Check: Verify zero property holds: no matter what × 0 = 0 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication by zero with other operations
Don't think 1000 × 0 = 1000 or that zero "doesn't count"! This ignores the fundamental zero property and gives completely wrong answers. Always remember that ANY number multiplied by zero equals zero, no exceptions.

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 does any number times zero equal zero?

Think of multiplication as repeated addition. When you have $1000 \times 0$ , you're adding 1000 zero times, which means you add nothing at all, so the result is 0!

Does it matter which number is zero?

Not at all! Whether it's $1000 \times 0$ or $0 \times 1000$ , the answer is always zero. This is because multiplication is commutative (order doesn't matter).

What if the number is really big, like a million?

Size doesn't matter with the zero property! Even $1,000,000 \times 0 = 0$ . The zero property works for any number, no matter how large or small.

Is this different from adding zero?

Yes! Adding zero keeps the number the same: $1000 + 0 = 1000$ . But multiplying by zero always gives zero: $1000 \times 0 = 0$ .

Can I use this rule for negative numbers too?

Absolutely! The zero property works for all numbers: $-50 \times 0 = 0$ , $0 \times -200 = 0$ . Any number times zero is always zero.

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