Question

State whether the following statements are true or false. If the statement is false, give
an example.
1. Closure property holds for subtraction of natural numbers.
2. Associative property holds for division of integers.
3. Commutative property holds for addition of natural numbers.
4. Commutative property does not hold for subtraction of rational numbers.
5. If a property holds for rational numbers then it holds for integers as well.
6. Reciprocal of every rational number is a rational number.
Class-8
Signature: ...​

Answer 1

Answer:

1.True

2. False

3. True

4. True

5. True

6. True

Step-by-step explanation:

2. L. H. S. R. H. S.

(15/3)/5 15/(3/5)

=5/5 =15*5/3

=1 =25

L. H. S not= R. H. S.

Thus, Associative property does not hold for division.

Answer 2

Answer:

1.True

2. False

3. True

4. True

5. True

6. True

Step-by-step explanation:

2. L. H. S. R. H. S.

(15/3)/5 15/(3/5)

=5/5 =15*5/3

=1 =25

L. H. S not= R. H. S.

Thus, Associative property does not hold for division.