The number should equal our original divisor, 8. However, this serves as a way to help us understand why we cannot divide a number by 0. If for some reason you encountered 0 as a dividend in a problem, you can express it as 1, even though the answer is technically undefined.
Like in division, 0 in exponential is considered undefined. However, when solving problems and you encounter something that is 0 to the power of another number, or a number to the power of 0, remember the 0 exponent rule. A factorial is a mathematical expression, expressed by! So, 2! That means that 2! A zero factorial, often written as 0! Is defined as equal to 1.
Basically, since a factorial is an expression of the product of all the integers between the numbers given and 1, this is the only technically correct answer for 0! Using the number zero can be tricky, but there are a few rules that will help you correctly do math when zero is involved.
Make sure to stick to these rules, and keep in mind that zero is not your enemy. If you know how to work with the number zero, using it will feel like a piece of cake. Fascinated by the number zero? Learn how many zeros are in a billion and how many zeros in a googol and a googolplex.
Need more math help? Learn about how to convert decimals to fractions , adding and subtracting fractions , and all about composite and rational numbers. And don't forget our handy multiplication table.
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A Comprehensive Guide. Choose Your Test. The additive inverse property of zero reflects its position as the fulcrum between the negative and positive integers. Any two numbers whose sum is zero are additive inverses of one another. For example, if you add -5 to 5, you arrive at zero. So -5 and 5 are additive inverses of one another. The multiplication property states what every third-grader knows: Multiplying any number by zero results in a total of zero. It's obvious once ingrained but perhaps the reason is overlooked.
Multiplication is, in one effect, a shortcut for addition. The concept of dividing by zero is even more senseless, so much so there is no property for it; the concept simply doesn't exist since it can't be carried out. Even mathematicians often struggle to explain why dividing by zero doesn't work.
The reason is essentially related to the multiplication property. The concept of dividing by zero is fraught with illogical consequences, so much so that its mythical destructive power has become a joke on the Internet.
There is also the property of the zero exponent; because of the existence of negative exponents, numbers to the negative power, numbers to the zero power always equal one.
Although this works mathematically, it too presents logical problems. Chiefly, zero to the zero power still equals one, although zero added or subtracted to or multiplied by itself should equal zero [source: Stapel ]. Sign up for our Newsletter! Mobile Newsletter banner close. Mobile Newsletter chat close. Mobile Newsletter chat dots. Mobile Newsletter chat avatar.
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