Question

1. The difference of two natural numbers is always an integer.

2. The difference of two natural numbers is always a natural number.
3. The sum of two natural numbers is always a natural number.
4. The product of two natural numbers is always a natural number.
5. The quotient of two natural numbers is always a rational number
6. The quotient of two natural numbers is always a natural number.
7. The ratio of two natural numbers is always positive

I need help determining which ones are true and which are false

Answer 1

1. The difference of two natural numbers is always an integer. True

Like 6-3=3 and 3-6=-3 both 3 and -3 are integers.

2. The difference of two natural numbers is always a natural number. False.

For any two natural numbers a and b, a-b = natural number only when a>b.

Like 5-2=3 is natural but 2-5=-3 is not a natural number.

3. The sum of two natural numbers is always a natural number. True

4. The product of two natural numbers is always a natural number. True

5. The quotient of two natural numbers is always a rational number. True

6. The quotient of two natural numbers is always a natural number. False

7. The ratio of two natural numbers is always positive. True

Natural numbers are 0,1,2,3... all positive numbers, so their ratio will always be positive.

Answer 2

1. The difference of two natural numbers is always an integer. True2. The difference of two natural numbers is always a natural number. False
3. The sum of two natural numbers is always a natural number. True
4. The product of two natural numbers is always a natural number. False
5. The quotient of two natural numbers is always a rational number False
6. The quotient of two natural numbers is always a natural number. False
7. The ratio of two natural numbers is always positive True