Negatives and Reciprocals

Q. Multiplicative inverse of a negative rational number is ___.

1. a positive rational number
2. a negative rational number
3. 1
4. 0

Q. What is multiplicative inverse of 3/8

Q. Verify:
$\frac{3}{4}+(\frac{-5}{6}+\frac{7}{8})=(\frac{3}{4}+\frac{-5}{6})+\frac{7}{8}$
[4 MARKS]

Q.

The sum of two rational numbers is $\frac{-3}{5}$. If one of them is $\frac{-9}{10}$, find the other number.

Q.

Question 67

Write each of the following rational numbers with positive denominators.

$\frac{5}{-8},\frac{15}{-28},\frac{-17}{-13}$

Q.

The reciprocal of $\frac{-3}{4}$ is__________

Q.

The reciprocal of $\left(\frac{-3}{8}\right)\times \left(\frac{-7}{13}\right)$ is

Q.

If $y$ be the reciprocal of rational number $x$, then the reciprocal of $y$ will be

1. $x$

2. $y$

3. $\frac{x}{y}$

4. $\frac{y}{x}$

Q. What is multiplicative inverse of-6/9

Q.

The sum of a rational number $-\frac{1}{2}$and its multiplicative inverse is

a) $0$

b) $1$

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

d) $-2$

Q.

-131 multiplied with its multiplicative inverse gives

1. 1

2. -131

3. -1

4. 131

Q. What is multiplicative inverse of-5/-7

Q.

The reciprocal of a non-zero rational number is$\frac{q}{p}$ the rational number $\frac{q}{p}$. State whether the statement is true (T) or false (F).

1. True
2. False

Q.

Question 5(h)
Find the product, using suitable properties:
$(-57)\times (-19)+57$

Q.

Question 86 (i)

Find the reciprocal of the following:
$(\frac{1}{2}\times \frac{1}{4})+(\frac{1}{2}\times 6)$

Q.

Find the multiplicative inverse of $-1\times -\frac{2}{5}$

Q. Find the product of the multiplicative inverse of 6 1/2 and the additive inverse of 2 1/3

Q.

The sum of two numbers is 40 and their product is 3680. The sum of their reciprocals is ?

Q.

The reciprocal of $0$ is

1. $1$

2. $-1$

3. $0$

4. Not defined

Q.

Question 86 (ii)

Find the reciprocal of the following:
$\frac{20}{51}\times \frac{4}{91}$

Q.

Question 13

Fill in the blanks to make the statement true.

$\frac{-3}{8}$ is a ___ rational number.

Q.

Which of the following pairs are reciprocals of each other?

1. 1 and -1

2. 1 and 0

3. -1 and 0

4. 1 and 1

Q. Verify Closure property for subtraction of $\frac{-4}{5}$ and $\frac{1}{2}$. (4 marks)

Q.

The sum of two rational numbers is $\frac{9}{16}$. If one of them is $\frac{-5}{18}$, find the other.

Q. Question 4
Write five pairs of integers (a, b) such a $÷$ b = -3. One such pair is (6, -2) because 6 $÷$ (-2) = (- 3)

Q.

Question 88 (c)

Write the following number n the form $\frac{p}{q}$, where p and q are integers.
Opposite of 1

Q.

Question 1(f)
Evaluate the following
0 $÷$ (- 12)

Q.

Question 1(c)
Evaluate the following
(- 36) $÷$ (- 9)

Q.

Write the multiplicative inverse of the following:

(1) $\frac{13}{4}$
(2) $\frac{4}{13}$
(3) $\frac{-3}{8}$
(4) $\frac{-8}{3}$
(5) $\frac{-16}{7}$
(6) $\frac{7}{6}$
(7) 5
(8) −2
(9) 1
(10) 11

Q.

Question 2(b)
Verify the following
$(-21)\times \left[\right(-4)+(-6\left)\right]=\left[\right(-21)\times (-4\left)\right]+\left[\right(-21)\times (-6\left)\right]$