Q: When 0 is divided by a nonzero number is the quotient always 0?

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Yes, it is.

Yes.

Yes, always. That is the definition of a rational number.

Because that is how a rational number is defined!

Yes, by definition.

I had this name question for homework :| no

The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).

Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.

== == The fact is - any nonzero number raised to 0 is always 1. the reason is: suppose a is nonzero. Then by the quotient rule of indices, am/an = am - n Taking m = n we come up with am - m = am/am , which is 1 in view of a nonzero.

no number

Yes.

anything (except zero) divided by zero is infinityzero divided by zero is undefined (there are ways to get definite answers for this using calculus in some cases)

Zero divided by anything is always zero.

No. Well, any number can be divided by another number, but the quotient you get may not always be a whole number. In this case, 62 divided by 133162 results in the fractional quotient of .0004655

The definition of a rational number is the quotient of any two nonzero integers.

No. Let's say you have 500 divided by 2. Your quotient would be 250.

yes, as it can be expressed as the quotient of two (nonzero) integers (for example, 875 divided by 1000)

no ex: 30 divided by 2 = 15(not even)

Not always as for example 32/4 = 8

When any number is divided by itself, the quotient is always ' 1 ' exactly.

-243

Not if the second rational number is 0: in that case the quotient is not defined. Otherwise the answer is yes.

quotient

Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

The quotient.