Addition and Subtraction of Rational Numbers

Q.

The product of two rational numbers is $-\frac{14}{27}.$ If one of the numbers be $\frac{7}{9},$ find the other.

Q. The additive inverse of -4 is .

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

Q. The value of $\frac{3}{5}+\frac{-7}{6}+\frac{2}{5}+\frac{-5}{6}$ is ____.

1. 14
2. 2
3. 0
4. -1

Q. The product of a non-zero rational number with an irrational number is always an irrational number.

1. True
2. False

Q.

The additive inverse of the rational number 1/6 is

1. 6

2. -6

3. 1/6
4. -1/6

Q.

What should be added to 7 to get - $\frac{4}{5}$ ?

1. $\frac{-39}{5}$

2. $\frac{39}{5}$

3. $\frac{-31}{5}$

4. $\frac{31}{5}$

Q.

The product of a number and its reciprocal gives ___.

Q.

A car covers a distance of $30\frac{5}{8}$ km in $2\frac{1}{2}$ hours. How much distance will it cover in 1 hour?

1. $11\frac{1}{4}$

2. $12\frac{1}{4}$

3. $21\frac{1}{4}$

4. $9\frac{1}{4}$

Q. Find five rational numbers between:
$\frac{1}{4}and\frac{1}{2}$

Q.

Add $5$ to any number $x$ and then multiply by $8$. What is the result?

Q. The multiplicative inverse of 16 is multiplied with the additive inverse of -64. Find the result obtained.

1. 16
2. 64
3. 4
4. -4

Q. Which of the following is irrational number?

1. $\sqrt{7}$
2. $\sqrt{\frac{4}{9}}$
3. $\frac{4}{5}$
4. $\sqrt{81}$

Q. If y is the reciprocal of a rational number x, then the multiplicative inverse of y will be .

1. $x$
2. $y$
3. $\frac{x}{y}$
4. $\frac{y}{x}$

Q.

Fill in the blank: $\boxed{}-\frac{5}{8}=\frac{1}{4}$

Q.

What should be added to $\frac{-8}{9}$ to get $\frac{-1}{6}$

1. $\frac{-13}{18}$

2. $\frac{13}{18}$

3. $\frac{19}{18}$

4. $\frac{-19}{18}$

Q.

$\text{Subtract}\frac{7}{4}\text{from}$$\frac{11}{7}$.

1. $\frac{-5}{21}$

2. $\frac{4}{21}$

3. $\frac{-5}{28}$

4. $\frac{3}{22}$

Q. Question 7
Find ten rationals between $\frac{3}{5}and\frac{3}{4}$.

Q.

Sum of an integer and its additive inverse is :

1. integer itself

2. $-1$

3. $1$

4. $0$

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

Q. Match the given numbers with their respective additive inverse.

1. -6
2. 6
3. $-\frac{1}{6}$
4. $\frac{1}{6}$

Q. Which of the following is irrational number?

1. $\frac{4}{5}$
2. $\sqrt{81}$
3. $\sqrt{7}$
4. $\sqrt{\frac{4}{9}}$

Q.

Simplify:

$\frac{5}{7}-\frac{1}{14}-\frac{3}{28}$

Q. The sum of the additive inverse and multiplicative inverse of $2$ is ____________.

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

Q.

Simplify:

$\frac{4}{8}-\frac{1}{2}+\frac{3}{4}$

Q.

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

1. 
2. 
3. 
4. 

Q. Subtract $\frac{3}{4}$ from $\frac{11}{7}$.

1. $\frac{23}{7}$
2. $\frac{23}{28}$
3. $\frac{8}{28}$
4. $\frac{14}{28}$

Q.

Multiply $\frac{7}{18}$ to the reciprocal of $\left(\frac{-5}{13}\right)$. [2 MARKS]

Q. Choose the correct statement:

A: The sum of any two rational numbers is not always a rational number.

B: The difference of any two rational numbers is always a rational number.

C: The difference of any two rational numbers is not always a rational number.

D: Subtraction of two rational numbers is commutative.

$\left[1\right]$

Q. If the additive inverse of $\frac{3}{7}$ is multiplied with the multiplicative inverse of $\frac{3}{7}$, then the result is:

Q. Find the sum of additive inverse and multiplicative inverse of $\frac{2}{5}$. [ 2 marks]