Properties of Rational Numbers

Q. $\text{If}(\frac{a}{b}+\frac{c}{d})+\frac{e}{f}=\frac{a}{b}+(\frac{c}{d}+\frac{e}{f}),$
then this expression represents:

1. Closure property
2. Additive identity
3. Commutative property
4. Associative property

Q. $x\times (y+z)=x\times y+x\times z$
Which of the following is represented by the above equation?

1. Commutative property
2. Closure property
3. Associative property
4. Distributive property

Q. The sum of two rational numbers is always a rational number. This property is known as

1. Commutative
2. Associative
3. Additive identity
4. Closure

Q. The product of two rational numbers is always a ___.

1. natural number
2. rational number
3. integer
4. whole number

Q. Find the value of
$\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$

1. $\frac{-55}{8}$
2. $\frac{-55}{4}$
3. $\frac{55}{4}$
4. $\frac{55}{8}$

Q. Under which of the following operations, are the rational numbers not closed?

1. Addition
2. Division
3. Subtraction
4. Multiplication

Q.

Under which of the following operations, are the integers not closed?

1. Addition

2. Subtraction

3. Multiplication

4. Division

Q.

Division of whole numbers follows the commutative law.

1. True

2. False

Q. Subtraction is associative for:

1. Whole numbers
2. Rational numbers
3. Integers
4. None of the above

Q.

If x, y are integers, then x+y is an integer.

1. True

2. False