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Q: What property do all nonzero numbers have that integers do not?

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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).

All nonzero numbers have factors. Some numbers have some of the same factors as other numbers. These are common factors. All nonzero numbers have 1 as a factor. The least common factor of any set of positive integers is 1.

Please don't write "the following" if you don't provide a list. This is the situation for some common number sets:* Whole numbers / integers do NOT have this property. * Rational numbers DO have this property. * Real numbers DO have this property. * Complex numbers DO have this property. * The set of non-negative rational numbers, as well as the set of non-negative real numbers, DO have this property.

No. All integers (positive And negative) are rational numbers (not irrational). A rational number can be expressed as a/b, where a & b are both integers, and b is nonzero. So the integer -3 can be expressed as a/b, where [a = 3, and b = -1] for example, or [a = -6 and b = 2].

All integers are real numbers, but not all real numbers are integers.

No. All whole numbers are integers and all integers are whole numbers.

One is a factor of all nonzero numbers.

Eight - all nonzero integers are significant.

Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers): 5 + (-3) = (-3) + 5

Since all integers are rational numbers (but not all rational numbers are integers), the certainly some of the rational numbers are integers. For example, 1, 2, and 3 are rational numbers. They are also integers.

All counting numbers are integers, not all integers are counting numbers.

Null set. All natural numbers are integers.

No, all integers are real numbers, but not all real numbers are integers. For example, 1.25 is a real number and a non-integer.No.

All nonzero numbers are significant.

No, not all rational numbers are integers. All integers are whole numbers, but a non-whole number can be rational if the numbers after the decimal point either 1. end or 2. repeat. So, sometimes rational numbers are integers, sometimes they're not. But all integers are rational numbers.

ALL natural numbers are integers.

All integers are rational numbers.

All integers are rational numbers.

Rational numbers are integers and fractions

All integers are whole numbers including natural numbers.

Not all rational numbers are integers, but all integers are rational.

All natural numbers are integers, not all integers are natural numbers.

Integers are all positive and negative whole numbers, and natural numbers are all positve whole numbers including zero. So, natural numbers is a subset of integers.

The group of integers consists of all whole numbers and their opposites. So, integers are... -2, -1, 0, 1, 2... However, 4/5, square root of 7, and Pi are all numbers, just not integers. All integers are numbers, but not all numbers are integers.

They are all the real numbers other than zero.