Question

1. The difference of two natural numbers is always an integer.
2. The quotient of two natural numbers is always a rational number
3. The sum of two natural numbers is always a natural number.
4. The ratio of two natural numbers is always positive
5. The product of two natural numbers is always a natural number.
6. The difference of two natural numbers is always a natural number.
7. The quotient of two natural numbers is always a natural number.
Can someone help me figure this out?

Answer 1

ℕ-numbers are numbers that count. By that I mean, numbers such as, 1, 2, 3, etc. (You may also know ℕ-numbers, as whole numbers.)

ℤ-numbers, also known as integers, are like ℕ-numbers, but include, the negatives.

According to the definitions I have given you, we are able to say that, question one is true.

Answer 2

6. 2-7=-5,not a natural number.
7.
\[3\div 6=\frac{ 1 }{2 },\]
not a natural number.