false -apex life
true
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
No. Closed means that you could do the operation (division) on any two natural numbers and you would get a result in the natural numbers. Take 7/3 for example, this is obviously not a natural number.
No. A simple example is 5 - 6 = -1. Two natural numbers (5 and 6) are used to subtract to -1 (which isn't a natural number).
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
false
false -apex life
True
It is the set of natural numbers.
False
A set "A" is said to be a subset of of set "B", if every element in set "A" is also an element of set "B". If "A" is a subset of "B" and the sets are not equal, "A" is said to be a proper subset of "B". For example: the set of natural numbers is a subset of itself. The set of square numbers is a subset (and also a proper subset) of the set of natural numbers.
true
Roster Method, for example {1, 2, 3, 4,5, 6} Set builder, for example {x:x is an element of Natural numbers, x
No, the natural numbers are not closed under division. For example, 2 and 3 are natural numbers, but 2/3 is not.
I think so yah
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
Natural numbers are a special kind of Rational numbers. Rational numbers can be expressed as a fraction. (Positive) fractions with the same (nonzero) numerator and denominator are natural numbers, for example 9/9 = 1.