Properties of Rational Number

Q.

The numerical expression $\left(\frac{3}{8}\right)+\left(\frac{-5}{7}\right)=\left(\frac{-19}{56}\right)$ shows that:

1. rational numbers are closed under addition

2. rational numbers are not closed under addition

3. rational numbers are closed under multiplication

4. addition of rational numbers is not commutative

Q.

The additive inverse of $\frac{1}{2}is2$.State whether true or false. Give a reason for your answer.

1. True
2. False

Q.

--------------is the only rational number which is equal to its additive inverse.

1. $0$

2. $1$

3. $2$

4. $-1$

Q.

The additive inverse of $-\frac{3}{5}$ is

Q.

The additive inverse of $\frac{1}{2}is-2$. State whether the statement is true (T) or false (F).

1. True
2. False

Q.

Without actual division, classify the decimal form of $\frac{17}{3}$.

1. Non-terminating
2. Terminating

Q.

Find the additive inverse of each of the following.

$0$

Q.

Which of the following statement is not correct regarding rational number?

1. It can be written in the form of p/q where p and q are integers and q ≠ 0.

2. It cannot be represented on a number line.

3. It can have non terminating recurring decimal.

4. It can have terminating decimal form.

Q. Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.

Q.

Write the additive inverse of $\frac{5}{8}$

Q.

Add the following rational numbers:

$\frac{11}{15}+\frac{3}{15}$

Q. State whether the given statement is true or false.
The product of two rational numbers is rational.

1. True
2. False

Q.

Find the addition of the given problem:

$(-11)+(-12)$

Q.

Find the addition of the given problem:

$(-32)+(-25)$