Reciprocal of a Rational Number

Q.

The reciprocal of -10 is

1. 0.1

2. - 0.1

3. 0.01

4. - 0.01

Q.

Write the following rational numbers with positive denominators.

$\frac{-7}{-19}$

Q. is the multiplicative identity of rational numbers.

1. \N
2. -1
3. 1
4. 2

Q.

The reciprocal of a negative rational number is _______.

1. a positive rational number

2. a negative rational number

3. can be either a positive or a negative rational number

4. cannot be determined

Q. The multiplicative identity of any rational number $\frac{p}{q}$ is its reciprocal.

1. False
2. True

Q. Pair the given rational numbers with their respective multiplicative inverses.

1. $\frac{2}{5}$
2. $-\frac{2}{5}$
3. $\frac{3}{11}$
4. $\frac{1}{11}$
5. $-\frac{5}{2}$
6. $11$
7. $\frac{5}{2}$
8. $\frac{11}{3}$

Q.

$\frac{a}{b}$ is always the multiplicative inverse of $\frac{b}{a}$.

1. True

2. False

Q.

Which of the following pairs are reciprocals of each other?

1. 1 and -1

2. 1 and 1

3. 1 and 0

4. -1 and 0

Q. $\frac{5}{7}$ is the multiplicative inverse of $\frac{7}{5}.$

1. False
2. True

Q.

What is the multiplicative inverse of 0?

1. 0

2. 1

3. -1

4. Does not exist.

Q.

Division of the reciprocal of $\frac{5}{11}$ by $\frac{-55}{18}$ results in $\frac{-18}{25}$.

1. False

2. True