Of not being equal to zero. Also, of being closed under division.
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).
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, they are not because fractions can be negative also. fractions aren't integers
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
No. All whole numbers are integers and all integers are whole numbers.
One is a factor of all nonzero numbers.
Three. All nonzero integers are significant.
All nonzero numbers are significant.
All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.
All integers are real numbers, but not all real 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.