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even numbers are exactly divisible by two. ie. they do not give a remainder when divided by 2.
natural numbers are positive integers starting from 1.
even natural numbers are a combination of both.. eg. 2,4,50 etc
the term positive is not required for these numbers because, natural numbers are positive !... so positive 'natural number' is like saying ' approximated estimate '..
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Are decimals considered a natural number?
No. Decimals come under "real numbers" and not natural numbers as natural numbers are positive whole numbers i.e., positive integers.
What are all the natural numbers?
All the positive real numbers are natural numbers.
Why are even whole and natural numbers closed under addition?
For a set to be closed under an operation, doing the operations on any two members of the set must result in another member of the set.The set of even natural numbers is {2, 4, 6, ...}.When two even numbers are added, the result is also an even number.Adding two positive numbers results in a larger positive number.Thus, adding two even natural numbers together results in another even natural number and so is closed.The set of even whole numbers is {..., -6, -4, -2, 0, 2, 4, 6, ...}.When two even numbers are added, the result is also an even number.It does not matter which combination of positive and negative whole numbers are added as all positive and negative whole numbers (including zero) are in the set. Thus it is also closed under addition.
Is 1.732 a natural number?
No. Natural numbers are positive whole numbers.
Are natural numbers counting numbers and positive numbers different names for the same set of numbers?
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.
