Reciprocal of a Number

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

Q. Question 8
Is $\frac{8}{9}$ the multiplicative inverse of $-1\frac{1}{8}$? Why or why not?

Q. Question 4(i)
Find the multiplicative inverse of the following: -13

Q. Question 139
Find the sum of additive inverse and multiplicative inverse of 7.

Q. Question 4(ii)
Find the multiplicative inverse of the following:
$\frac{-13}{19}$

Q.

Question 12
To get the product 1, we should multiply $\frac{8}{21}$ by

(a) $\frac{8}{21}$

(b) $\frac{-8}{21}$

(c) $\frac{21}{8}$

(d) $\frac{-21}{8}$

Q. Question 56
The multiplicative inverse of $\frac{-3}{5}$ is $\frac{5}{3}$

Q. Question 84
The reciprocal of $x^{-1}$ is $\frac{1}{x}$

Q. Question 11(iv)
What is the reciprocal of $\frac{1}{x}$, where $x\ne 0$ ?

Q.

Fill in the blanks :

(i) The product of a rational number and its reciprocal is........

(ii) Zero has..... reciprocal.

(iii) The numbers....... and ....... are their own reciprocals.

(iv) Zero is...... the reciprocal of any number.

(v) The reciprocal of a, where $a\ne 0,$ is....

(vi) The reciprocal of $\frac{1}{a}$, where $a\ne 0$, is.....

(vii) The reciprocal of a positive rational number is........

(viii) The reciprocal of a negative rational number is..........

Q. Question 9
Is 0.3 the multiplicative inverse of $3\frac{1}{3}$? Why or why not?

Q. Question 44
The multiplicative inverse of $\frac{4}{3}$ is ___

Q.

Question 14
The multiplicative inverse of $-1\frac{1}{7}$ is
(a) $\frac{8}{7}$
(b) $\frac{-8}{7}$
(c) $\frac{7}{8}$
(d) $\frac{-7}{8}$

Q.

Question 21
The reciprocal of $\frac{-3}{8}\times \left(\frac{-7}{13}\right)$ is
(a) $\frac{104}{21}$
(b) $\frac{-104}{21}$
(c) $\frac{21}{104}$
(d) $\frac{-21}{104}$

Q.

Question 19
The reciprocal of any rational number $\frac{p}{q}$, where p and q are integers and $q\ne 0$ is:
(a) $\frac{p}{q}$
(b) 1
(c) 0
(d) $\frac{q}{p}$

Q. Question 33
If y is the reciprocal of x, then the reciprocal of $y^2$ in terms of x will be ___

Q. A is the additive inverse of $\frac{5}{7}$ and B is the multiplicative inverse of $\frac{-8}{9}$. Find the multiplicative inverse of A + B. [5 marks]

Q. Question 4(vi)
Find the multiplicative inverse of the following: -1

Q.

Find the multiplicative inverse (i.e., reciprocal) of :

(i) $\frac{13}{25}$ (ii) $\frac{-17}{12}$ (iii) $\frac{-7}{24}$ (iv) $18$ (v) $-16$

(vi) $\frac{-3}{-5}$ (vii) $-1$ (viii) $\frac{0}{2}$ (ix) $\frac{2}{-5}$ (x) $\frac{-1}{8}$

Q.

$\frac{-15}{51}$ is a multiplicative inverse of $\frac{-17}{5}$.

1. True

2. False

Q.

Find the multiplicative inverse (reciprocal) of each of the following rational numbers:

(i) 9 (ii)-7

(iii)$\frac{12}{5}$ (iv)$\frac{-7}{9}$

(v)$\frac{-3}{-5}$ (vi)$\frac{2}{3}\times \frac{9}{4}$

(vii)$\frac{-5}{8}\times \frac{16}{15}$ (viii)$-2\times \frac{-3}{5}$

(ix) -1 (x)$\frac{0}{3}$

(ix)-1 (xi)1

Q.

Multiply $\frac{5}{12}$ by the reciprocal of $\frac{2}{5}$.

Q. Question 131
Can you find a rational number whose multiplicative inverse is - 1?

Q. Question 11(vi)
The reciprocal of a positive rational number is ________.

Q. Question 5(iii)
Name the property under multiplication used in each of the following:
$\frac{-19}{29}\times \frac{29}{-19}=1$

Q. Question 71
1 is the only number which is its own reciprocal.

Q.

What is the multiplicative inverse of $1$?

Q. Name the property under multiplication used in each of the following.
(i) $\frac{-4}{5}\times 1=1\times \frac{-4}{5}=-\frac{4}{5}$
(ii) $-\frac{13}{17}\times \frac{-2}{7}=\frac{-2}{7}\times \frac{-13}{17}$
(iii) $\frac{-19}{29}\times \frac{29}{-19}=1$

Q.

Question 10
Multiplicative inverse of a negative rational number is:
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1

Q.

The reciprocal of ($\frac{7}{6}$ $\times$ $\frac{-3}{28}$) is ___.