Inverse Properties of Mathematical Operations

Q.

The numbers ___ and ___ are their own reciprocals.

1. 1 and -1

2. 1 and 0

3. 0 and -1

4. 1 and 2

Q.

What is the multiplicative inverse of $\frac{7}{-9}$

1. $\frac{-9}{7}$

2. $\frac{9}{7}$

3. $\frac{-9}{-7}$

4. $\frac{7}{9}$

Q.

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

Q.

The product of a rational number and its multiplicative Inverse = ___

1. 0

2. 1

3. Multiplicative Identity

4. Inverse

Q.

$\text{Write the reciprocal (multiplicative inverse) of each rational number, given below}:\left(i\right)5\left(ii\right)-3\left(iii\right)\frac{5}{11}\left(iv\right)\frac{-7}{-8}\left(v\right)\frac{-7}{-8}\left(vi\right)\frac{15}{-17}$

Q. should be added to $\frac{3}{8}$ to get $\frac{-1}{24}$

1. $\frac{31}{72}$
2. $\frac{2}{23}$
3. $\frac{-7}{23}$
4. $\frac{-5}{12}$

Q.

$\text{Find the reciprocal (multiplicative inverse) of}:\left(i\right)\frac{3}{5}\times \frac{2}{3}\left(ii\right)\frac{-8}{3}\times \frac{13}{-7}\left(iii\right)\frac{-3}{5}\times \frac{-1}{13}$

Q.

Fill in the blanks :
$\left(i\right)\text{Additive inverse of}\frac{-5}{-12}=.......\left(ii\right)\frac{-5}{-12}+\text{its additive inverse}=.......\left(iii\right)If\frac{a}{b}\text{i}sadditiveinverseof\frac{-c}{d},\text{then}\frac{-c}{d}isadditiveinverseof......\text{Also}\frac{a}{b}+\frac{(-c)}{d}+\frac{a}{b}=.......$

Q. should be multiplied to $\frac{-3}{4}$ so that the product is $\frac{-9}{16}$

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

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

Q.

The product of $\frac{-49}{23}$ and its multiplicative inverse is ___ .

Q.

Which of the following number is the additive inverse of $\frac{7}{29}$?

1. 

2. 

3. 

4. 

Q. What should be subtracted from $\frac{-2}{3}$ to get $\frac{5}{6}$?

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

Q.

The reciprocal ( Multiplicative inverse) of $\frac{3}{5}$ $\times$ $\frac{15}{5}$ is ________-

1. $\frac{-5}{9}$

2. $\frac{-9}{5}$

3. $\frac{5}{9}$

4. $\frac{9}{5}$

Q.

Does the sign of a number change when it's reciprocal is taken?

1. Yes

2. No

Q. Question 11(ii)
The numbers ________ and ________ are their own reciprocals.

Q. Solve: $14y-8=13$

1. $1.5$
2. $1.4$
3. $1.6$
4. $1.9$

Q.

The product of $\frac{-5}{17}$ and $\frac{a}{b}$ = 1 , then $\frac{a}{b}$ = ___ and $\frac{-5}{17}$ are ___of each other.

1. $\frac{17}{5}$ , multiplicative inverse

2. $\frac{-17}{5}$ , multiplicative inverse

3. $\frac{5}{17}$ , additive inverse

4. $\frac{-5}{-17}$ , product

Q. The multiplicative inverse of $\frac{1}{5}$ is

Q.

Product of $\frac{7}{6}$ and reciprocal of $\frac{11}{66}$ is

1. 7/6

2. 7

3. 1/6

4. 7/11

Q. Name the property used in each of the following
$\frac{3}{8}\times 1=1\times \frac{3}{8}=\frac{3}{8}$

Q.

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

1. True

2. False

Q. Question 30
The reciprocal of a negative rational number is ___

Q. Write the additive inverse of each of the following:
a) $\frac{2}{8}$ b) $\frac{2}{-9}$ c) $\frac{-19}{-6}$

Q. The absolute value of the reciprocal of $\frac{-1}{5}$ is ............... .

Q. What should be subtracted from $\frac{-1}{6}$ to get $\frac{7}{12}$?

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

Q.

If $x$ = $\frac{2}{3}$ and $y$ = $\frac{50}{45}$ , then $\frac{x}{y}$ = _________

1. -1 and 0

2. 1 and 0

3. None of these

4. 1 and -1

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

1. $\frac{4}{3}$
2. 1
3. 0
4. none of these

Q.

The multiplicative inverse of -3/5 is ________________

1. -5/3

2. 1

3. 5/3

4. 3/5

Q.

If a + b = 0, then -b is the additive inverse of a.

1. True

2. False