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Think of it this way, if you have 3/0, you also have 0 groups of three, therefore you have 0 of anything.

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Q: When you multiply by zero why is the product always zero?
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Related questions

What is the product of any number multiplied by 0?

It is zero. No matter how many times you multiply a zero, it is always zero. 0.


How do you get product of the zero?

multiply anything by zero and your product will be zero!


Why does x 0 have only one solution?

Anytime you multiply a number by zero, the product will always be zero. Thus, whenever a number, regardless of its value, is multiplied by zero, there is only one possible solution: zero.


If you multiply a linear equation by 0 what do you get?

Why am I wasting my time with such an obvious question? Multiplication Property of Zero! If you multiply anything by zero, the product is zero!


When is the product of two negative real numbers always greater than zero?

Whenever you multiply two negative real numbers.


When you multiply by 0 the product is always?

The product would always be 0.


What is the product of zero and any number?

The product of zero and any number is always 0.


Is the product always zero when one of the factors is zero?

Yes.


What is infinity to the power of zero?

No matter how many times you multiply zero by itself, you will always get zero.


Can 0 be the identity for multiplication?

No. The identity for multiplication is the number 1. If you multiply a number by 1, then the product is the original number. If you multiply a number by zero, the product is zero, so the number has 'lost it's identity'


When you multiply and number by 0 the product is 0?

Yes. Multiplying any number by zero results in zero.


When you multiply any number of even numbers will the product always be odd?

No, the product will always be even.