True. Every one is a sum of 0 and itself!
The is false. "the whole number" is a single number while "the set of natural numbers" is a set. A single number cannot be equal to a set.
False.
false
False because 2 is an even number which is also a prime number.
It is true.
It depends, many people do count 0 as a natural number, but MOST do not. So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.
The is false. "the whole number" is a single number while "the set of natural numbers" is a set. A single number cannot be equal to a set.
false, the set of natural numbers does not include 0, which can be considered a whole number.
False. The natural numbers are the counting numbers: 1, 2, 3, ... which are the positive integers; -7 is a negative integer and so not one of them.
There is some disagreement. Some people include zero in the set of natural numbers (like whole numbers), some people don't (like counting numbers).
False
False.
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.
false
False. The collection of natural numbers is an example of a set, not an element. An element is an individual member of a set, while the collection of natural numbers is a set itself.
True. Zero is in the set of whole numbers, integers, rational numbers and real numbers but not natural numbers. Natural numbers are often referred to as the "counting numbers" or how you learned to count. When we are teaching little children numbers, we never start with zero or negative numbers - just 1, 2, 3...
false