You can think of lots of sets that don't contain a number; or that contain it for that matter. In this case, the most natural such set is probably the set of natural numbers, {0, 1, 2, 3, ...}. Another example would be the set of even numbers: {0, 2, -2, 4, -4, 6, -6, ...}.
No.
You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).
The set of whole numbers.
I am assuming the you do not mean "group", which has a very specific mathematical meaning, but "set". The numbers belong to any set that will contain them! For example, {0, 3, 6, 27, 80}; {0, 3, pi, 6, sqrt(105), 27, 80}; N, the set of natural numbers, Z, the set of integers, Q, the set of rational numbers, R, the set of real numbers, C, the set of complex numbers, the set of integers between -30 and +130, the set of rational numbers between -97/4 and 641/5, the set of positive square roots of all non-negative numbers less than 9000.
Zero (0) is in the set of whole number. The only difference between the set of whole numbers and counting numbers is that the whole numbers contain zero. {0,1,2,3...}
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
You can think of lots of sets that don't contain a number; or that contain it for that matter. In this case, the most natural such set is probably the set of natural numbers, {0, 1, 2, 3, ...}. Another example would be the set of even numbers: {0, 2, -2, 4, -4, 6, -6, ...}.
You can think of lots of sets that don't contain a number; or that contain it for that matter. In this case, the most natural such set is probably the set of natural numbers, {0, 1, 2, 3, ...}. Another example would be the set of even numbers: {0, 2, -2, 4, -4, 6, -6, ...}.
The set of numbers that include the natural numbers, their opposites and 0 is called the set of integers.
No.
You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).
The set of whole numbers.
the set of whole numbers less than 0
I am assuming the you do not mean "group", which has a very specific mathematical meaning, but "set". The numbers belong to any set that will contain them! For example, {0, 3, 6, 27, 80}; {0, 3, pi, 6, sqrt(105), 27, 80}; N, the set of natural numbers, Z, the set of integers, Q, the set of rational numbers, R, the set of real numbers, C, the set of complex numbers, the set of integers between -30 and +130, the set of rational numbers between -97/4 and 641/5, the set of positive square roots of all non-negative numbers less than 9000.
The set of integers, of rational numbers, of real numbers, complex numbers and also supersets which contain them.
The mathematically correct answer is: any set that contains it. For example, it belongs to the set of all numbers between -3 and +2, the set {0, -3, 8/13, sqrt(97), pi}, the set {0}, the set of the roots of x3 - x2 + x = 0, the set of all integers, the set of all rational numbers, the set of all real numbers, the set of all complex numbers.