First of all, infinity does not obey the rules of the basic arithmetic operations because it in not a number.
Second, your proposed procedure does not work for any number other than 0 or 2.
For example, 3*3 - 3 - 3 = 9 - 3 - 3 = 3
No matter how many times you multiply zero by itself, you will always get zero.
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
Division by zero is not "not defined". Division is the repeated subtraction of one thing from another, counting the number of times you subtract. If you divide 15 by 3 you get 5. You can also subtract 3 from 15 5 times. If you subtract zero from something, that something does not change, so you could say that anything divided by zero is infinity. (End of answer to question asked, but....) By definition, a positive number divided by zero is positive infinity, and a negative number divided by zero is negative infinity. Also, what "is" not defined is zero divided by zero. We call that indeterminate. However, its not quite that simple. For example, 2x / x when x = 0 is indeterminate, but the limit of 2x / x as x approaches zero is very determinant: it is 2
If you multiply any number by zero the answer is zero If you dividea number by zero the answer is undetermined. It is usually infinity , since when you divide a number ( numerator0 by a small the number (denominator) the smaller that denominator the larger the answer, and zero is so small that the answer is infinite. But not always, as in special cases when the numerator is also zero
Zero times infinity is defined as "indeterminate".
No matter how many times you multiply zero by itself, you will always get zero.
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
If you add, subtract or multiply rational numbers, the result will be a rational number. It will also be so if you divide by a non-zero rational number. But division by zero is not defined.
Division by zero is not "not defined". Division is the repeated subtraction of one thing from another, counting the number of times you subtract. If you divide 15 by 3 you get 5. You can also subtract 3 from 15 5 times. If you subtract zero from something, that something does not change, so you could say that anything divided by zero is infinity. (End of answer to question asked, but....) By definition, a positive number divided by zero is positive infinity, and a negative number divided by zero is negative infinity. Also, what "is" not defined is zero divided by zero. We call that indeterminate. However, its not quite that simple. For example, 2x / x when x = 0 is indeterminate, but the limit of 2x / x as x approaches zero is very determinant: it is 2
Infinity cannot, by definition, be a defined number such as zero.
Zero to Infinity was created in 1999-09.
Infinity into zero = Log 2 = 0.692 by L'hospital Rule
Zero times infinity is defined as "indeterminate".
If you multiply any number by zero the answer is zero If you dividea number by zero the answer is undetermined. It is usually infinity , since when you divide a number ( numerator0 by a small the number (denominator) the smaller that denominator the larger the answer, and zero is so small that the answer is infinite. But not always, as in special cases when the numerator is also zero
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.
minus infinity
Log zero is not defined, and if it were defined, it would be more likely to be minus infinity than infinity.