Reciprocal of a Number

Q. The rational numbers, which are their own reciprocals are 1 and -1.

1. 1 and -1
2. 2 and -2

Q.

The additive inverse of the rational number $\frac{a}{b}$ is $-\frac{b}{a}$

1. True

2. False

Q.

Find the reciprocal of the rational number ${\left(\frac{1}{2}\right)}^2÷{\left(\frac{2}{3}\right)}^3.$

Q.

Question 86 (iv)

Find the reciprocal of the following:
$(-5\times \frac{12}{15})-(-3\times \frac{2}{9})$

Q.

Question 86 (iii)

Find the reciprocal of the following:
$\frac{3}{13}÷\frac{-4}{65}$

Q.

The sign of a number changes when its reciprocal is taken.

1. Flase

2. True

Q.

Question 05

Which of the following rational number is equal to its reciprocal?

(a) 1

(b) 2

(c) $\frac{1}{2}$

(d) 0

Q.

What is the sum of the rational number 4/5 with its reciprocal ?

1. 41/20

2. zero

3. -1

4. 20/20

Q. For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b}\times \frac{c}{d}=1$, then the rational number $\frac{c}{d}$ is known as

1. Additive identity
2. Multiplicative identity
3. Additive inverse
4. Multiplicative inverse

Q.

What is the additive inverse of $\frac{2}{3}$?

1. 2

2. $\frac{3}{2}$

3. 1

4. $-\frac{2}{3}$

Q.

The ____ of a fraction is another fraction obtained by interchanging the numerator and denominator.

1. Reciprocal

2. Improper Form

3. Divisor

4. Dividend

Q. Name the property under multiplication used in each of the following.
$\frac{-19}{29}\times \frac{29}{-19}=1$

Q.

The additive inverse of the rational number $\frac{a}{b}$ is $-\frac{b}{a}$.

1. True

2. False

Q.

The cost of $\frac{19}{4}$ m of wire is Rs.$\frac{171}{2}$. Find the cost of one meter of wire in Rs.___

Q. Write the rational numbers that are equal to their reciprocals.

Q. are reciprocals of each other.

1. 1 and -1
2. 1 and 0
3. -1 and 0
4. 1 and 1

Q. Is $\frac{8}{9}$ the multiplicative inverse of $-1\frac{1}{8}$ ?

1. 0

Q. Multiply, $\frac{6}{13}$ by the reciprocal of $\frac{-7}{16}$.

Q. The multiplicative inverse of $\frac{-13}{19}$ is $\frac{-19}{q}$, then the value of $q$ is equal to ?

Q. Express in Kg:
$200g$

Q.

Find the reciprocal of the following fraction.

$2\frac{3}{8}$

Q. What will be the additive inverse of $\frac{-3}{9}?,\frac{-9}{11}?,\frac{5}{7}?$

Q. Write the reciprocal of:

(i) ${\left(\frac{2}{3}\right)}^4$
(ii) ${\left(\frac{-3}{5}\right)}^{61}$
(iii) 2⁵
(iv) (−5)⁶

Q.

The additive inverse of the rational number $\frac{a}{b}$ is $-\frac{b}{a}$.

1. False

2. True

Q.

Question 94 (j)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18}$.

Find $x÷(y÷z)$.

Q. The reciprocal of $-\frac{a}{b}$ is

1. $-\frac{b}{a}$
2. $\frac{a}{b}$
3. $\frac{b}{a}$
4. $-\frac{a}{b}$

Q.

What is the reciprocal of $\frac{1}{7}$?

1. 1/7

2. -1

3. 7/1

4. -7

Q. Reciprocal of $\frac{7}{5}$ is

1. $1\frac{2}{5}$
2. $\frac{5}{7}$
3. $5\frac{2}{3}$
4. $\frac{12}{5}$

Q. Multiplicative inverse of $\frac{1}{-5}$ is

1. $Notdefined$
2. $-5$
3. $\frac{5}{1}$
4. $\frac{1}{-5}$

Q. If the multiplicative inverse of $\frac{x+1}{x}$ is $\frac{2}{3}$, then find $x$