Rational Numbers

Q. Which of the following will be the correct ascending order for $-\frac{2}{3},-\frac{3}{5},\frac{3}{5},\frac{2}{3}$?

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

Q.

Additive inverse of $\frac{7}{5}$ is:

Q.

By what rational number should we divide $\frac{22}{7}$ so as to get the number $\frac{-11}{14}?$

1. - 2

2. 5/7

3. 12/7

4. -4

Q. Which of the following is Non terminating and Non repeating decimal ?

1. $\frac{10}{3}$
2. $\mathrm{1.020022200254.....}$
3. $\mathrm{8.33333........}$
4. $\mathrm{8.453535353.....}$

Q. Which of the following is the additive inverse of $\frac{-5}{6}$?

1. $\frac{6}{5}$
2. $\frac{1}{5}$
3. $\frac{-1}{6}$
4. $\frac{5}{6}$

Q. Where would the number $\sqrt{2}$ lie on the number line?

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

Q.

Question 48

State whether the given statement is True or False.

Zero is a rational number.

Q. $\text{How many pieces of equal size can be cut}\text{from a rope of 30 metres, each measuring}3\frac{3}{4}\text{metres?}$

1. 8

Q. $\text{Statement 1:}$ Every fraction is a rational number.
$\text{Statement 2:}$ Every rational number is a fraction.

Which of the following option is correct about the statements given above?

1. Statement 1 and Statement 2 both are true.
2. Statement 1 is true and Statement 2 is false.
3. Statement 1 is false and statement 2 is true.
4. Statement 1 and statement 2 both are false.

Q.

Divide the sum of $\frac{8}{3}$ and$\frac{4}{7}$ by the product of $-\frac{3}{7}$ and $\frac{14}{9}$.

Q. Express $\frac{-42}{98}$ as a rational number with denominator?

Q. The mixed fraction representation of $\frac{7}{3}$ is__________.

1. 2.333
2. $7\frac{1}{3}$
3. $2\frac{1}{3}$
4. None of the above

Q.

Which of the following rational numbers is positive?

1. $\frac{-8}{7}$

2. $\frac{19}{-13}$

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

4. $\frac{-21}{13}$

Q. Every integer 'a' is a rational number as 'a' can be expressed as $\frac{a}{1}$.

1. True
2. False

Q.

Which of the following rational numbers are equivalent to $\frac{9}{4}$?

1. $\frac{12}{3}$

2. $\frac{81}{25}$

3. $\frac{63}{28}$

4. $\frac{36}{16}$

Q. Write a rational number equal to $\frac{3}{5}$ with 15 as the numerator.

1. 
   $\frac{15}{5}$
2. 
   $\frac{15}{20}$
3. 
   $\frac{15}{25}$
4. 
   $\frac{15}{30}$

Q.

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

1. $\frac{29}{7}$

2. $\frac{-29}{7}$

3. $\frac{7}{29}$

4. $\frac{-7}{29}$

Q.

Fill in the box with the correct symbol $>$, $<$ or $=$.

$\frac{2}{1}\square \frac{4}{6}$

Q.

Which of the following statements are true?

(i) Every natural number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number, but it is not a rational number.

1. (i), (ii) and (iii)

2. (i) and (ii)

3. (i)

4. (ii) and (iii)

Q. Multiplying a given integer by 1 gives the ___ integer.

Q. Which of the following is the additive inverse of $\frac{-5}{6}$?

1. $\frac{6}{5}$
2. $\frac{1}{5}$
3. $\frac{-1}{6}$
4. $\frac{5}{6}$

Q.

Write $\frac{-7}{-3}$ as a rational number with denominator $-15$.

Q.

If a number is smaller than $1$, then its reciprocal is always _________ than $1$

Q. Subtraction of two whole numbers always results in a/an _________ .

1. Natural number
2. Integer
3. Whole number
4. Fraction

Q.

If $\frac{p}{q}$ is a rational number, then

1. q cannot be equal to 0

2. both p and q cannot be equal to zero

3. Both p and q can be equal to zero

4. p cannot be equal to 0

Q.

Write the reciprocal of $-\frac{2}{7},\frac{8}{9},\frac{3}{-2}$.

Q.

Fill in the blank with a suitable verb bread and butter ---------------- wholesome food.

1. are

2. has

3. is

4. have

Q.

Find the reciprocal of $\frac{11}{6}$

Q.

What should be the next number in the series of the given Rational numbers : $\frac{1}{4}$ , $\frac{1}{2}$ , $\frac{3}{4}$ , 1 , $1\frac{1}{4}$, ___

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

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

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

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

Q. Find any ten rational numbers between $\frac{-5}{6}$ and $\frac{5}{8}$