N-P = 0.
Note here that N is the set of Natural numbers, P is the set of positive integers, and - is the set operation that in the above statement implies N and P are the same, with the exception that 0 is an element of N but not of P.
They are 3-digit positive integers.
The factors of a number comprises all positive integers which go into it evenly.
No. Odd numbers can be written as the sum of consecutive integers, but some multiples of odd numbers are even.
Yes. There is an injective function from rational numbers to positive rational numbers*. Every positive rational number can be written in lowest terms as a/b, so there is an injective function from positive rationals to pairs of positive integers. The function f(a,b) = a^2 + 2ab + b^2 + a + 3b maps maps every pair of positive integers (a,b) to a unique integer. So there is an injective function from rationals to integers. Since every integer is rational, the identity function is an injective function from integers to rationals. Then By the Cantor-Schroder-Bernstein theorem, there is a bijective function from rationals to integers, so the rationals are countably infinite. *This is left as an exercise for the reader.
The least common factor of any two or more positive integers is always 1.
Positive integers are (not is!) a proper subset of natural numbers. The natural numbers comprise positive integers and zero.
The natural numbers are the same as the positive integers.
Yes, the natural numbers are positive integers. {1,2,3,....}
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.
No, because there are no naturl numbers.But natural numbers (even), are not equivalent to integers: they are a subset of integers. Negative whole numbers are integers but they are not natural numbers. Mathematicians are undecided about whether or not zero is a natural number.
No. Natural numbers are the positive integers: 1, 2, 3, ...
No. Natural numbers are 0 and positive integers.
No, they are not equivalent sets.
Natural numbers are the same as counting numbers, but the term positive numbers means something else. Natural or counting numbers are positive integers, but the category of positive numbers includes both integers and fractions, as long as they are greater than zero.
No. Decimals come under "real numbers" and not natural numbers as natural numbers are positive whole numbers i.e., positive integers.
Natural numbers are sometimes defined to include zero, sometimes not. Equivalent terms therefore may include: positive integers, non-negative integers, whole numbers, positive whole numbers ("whole number" is ambiguous; some take it to include negative numbers, some not).
The set of natural numbers (counting numbers) {1,2,3,4....} corresponds to the positive integers. Note that the number 0 is neither positive nor negative. So anytime you want to count something you use natural numbers, which means you are also using positive integers.