Solve the Multiplication: 0 × 700 - Understanding Zero Products

Q: Why does anything times zero equal zero?

Think of multiplication as repeated addition. $ 0 \times 700 $ means 'add zero 700 times' or 0+0+0...+0 = 0. No matter how many zeros you add, you still get zero!

Q: Does it matter which number is zero?

No! Both $ 0 \times 700 $ and $ 700 \times 0 $ equal zero. Multiplication is commutative, so the order doesn't change the result.

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

Size doesn't matter with zero! Whether it's $ 0 \times 5 $ or $ 0 \times 1,000,000 $, the answer is always zero. Zero is the ultimate neutralizer in multiplication.

Q: How is this different from adding zero?

Great question! Adding zero keeps the number the same: $ 700 + 0 = 700 $. But multiplying by zero makes everything disappear: $ 700 \times 0 = 0 $.

Q: Can I use this rule with fractions and decimals too?

Absolutely! The zero property works with all numbers: $ 0 \times 3.5 = 0 $, $ 0 \times \frac{2}{3} = 0 $. Zero multiplication always gives zero!

Zero Property with Large Numbers

$0\times700=$

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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

00:06 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$0\times700=$

Step-by-step solution

To solve this problem, let's apply the mathematical property of multiplication involving zero:

When you multiply any number by zero, the result is always zero. This can be written as $a \times 0 = 0$ for any real number $a$ .

In our case, we have:

$0 \times 700 = 0$ .

Therefore, in this problem, since we are multiplying zero by 700, we use the property mentioned to conclude that the answer is zero.

Given the choices, the correct answer is:

$0$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Rule: Any number multiplied by zero always equals zero
Technique: $0 \times 700 = 0$ regardless of how large 700 is
Check: Think backwards: what times 700 gives 0? Only 0 works ✓

Common Mistakes

Avoid these frequent errors

Thinking zero times any number equals that number
Don't assume $0 \times 700 = 700$ because the second number is large! This confuses multiplication with addition where 0 + 700 = 700. Always remember the zero property: multiplying by zero makes everything disappear.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does anything times zero equal zero?

Think of multiplication as repeated addition. $0 \times 700$ means 'add zero 700 times' or 0+0+0...+0 = 0. No matter how many zeros you add, you still get zero!

Does it matter which number is zero?

No! Both $0 \times 700$ and $700 \times 0$ equal zero. Multiplication is commutative, so the order doesn't change the result.

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

Size doesn't matter with zero! Whether it's $0 \times 5$ or $0 \times 1,000,000$ , the answer is always zero. Zero is the ultimate neutralizer in multiplication.

How is this different from adding zero?

Great question! Adding zero keeps the number the same: $700 + 0 = 700$ . But multiplying by zero makes everything disappear: $700 \times 0 = 0$ .

Can I use this rule with fractions and decimals too?

Absolutely! The zero property works with all numbers: $0 \times 3.5 = 0$ , $0 \times \frac{2}{3} = 0$ . Zero multiplication always gives zero!

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