are all natural numbers whole numbers?

Question

mathstudent55 · Answer

Do you know what the natural numbers are and what the whole numbers are?

anonymous · Answer

not off the top of my head

mathstudent55 · Answer

Natural numbers: 1, 2, 3, 4, ...
Whole numbers: 0, 1, 2, 3, 4, ...

anonymous · Answer

ok

mathstudent55 · Answer

Ok, that is what each of those two sets is. 
Is every natural number included in the whole numbers?

anonymous · Answer

yes but y

mathstudent55 · Answer

Natural numbers are the numbers in the way you naturally count.
Counting starts at 1, not 0.
Therefore, the natural numbers start at 1.

mathstudent55 · Answer

Whole numbers are the numbers that are not fractional. They only have a whole part. That means you add 0 to the set of natural numbers to get the set of whole numbers.

sammixboo · Answer

Nice explaining @mathstudent55

anonymous · Answer

ok

mathstudent55 · Answer

Since every natural number is included in the set of whole numbers, then every natural number is also a whole number.

anonymous · Answer

ok

mathstudent55 · Answer

Notice that the opposite is not true.
"Every whole number is a natural number" is a false statement because 0 is whole but not natural.

mathstudent55 · Answer

@sammixboo 
Thanks.

anonymous · Answer

is a rhombus always a  square?

mathstudent55 · Answer

Once again, you need to go back tot eh definitions of rhombus and square.

mathstudent55 · Answer

A rhombus is a quadrilateral with congruent sides.
A square is a rectangle with congruent sides.

mathstudent55 · Answer

That means every square is a rhombus, but not every rhombus is a square.

mathstudent55 · Answer

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