Finding Rational Numbers Between Two Rational Numbers Using Equivalent Rational Numbers

Q.

Between any two given rational numbers, there are infinite rational numbers.

1. False

2. True

Q.

Find ten rational numbers between $\frac{3}{5}$ and $\frac{3}{4}$.

Q.

Between any two numbers, there can be an infinite number of ___________.

1. natural numbers

2. whole numbers

3. rational numbers

4. integers

Q. Find out a rational number lying halfway between $\frac{1}{7}$ and $\frac{3}{4}$

1. $\frac{2}{56}$
2. $\frac{25}{56}$
3. $\frac{25}{28}$
4. $\frac{3}{28}$

Q.

The number $\frac{-15}{7}$, on the number line, lies between ________.

1. 0 and 1

2. -3 and -2

3. 2 and 3

4. -2 and -1

Q. Which of the following is not a rational number between -2 and 1?

1. 30/40
2. 15/10
3. -15/10
4. -30/20

Q. Which of the following numbers lies between 1/3 and 5/3?

1. 4/3
2. 7/3
3. 5/2
4. 2

Q. Between two given rational numbers, we can find rational numbers.

1. one and only one
2. only ten
3. infinitely many
4. only two

Q. Manu while having conversation with Tanu.

Manu: Rational numbers are closed under division because we get a rational number as the resultant:
$\frac{3}{5}÷\frac{7}{5}=\frac{3}{7}$

Tanu: Rational numbers are NOT closed under division because dividing any number by zero is undefined.

$\frac{3}{5}÷0$ is undefined

Who is correct?

1. Manu
2. Tanu
3. Both are correct
4. Both are wrong

Q. Between two given rational numbers, we can find ___ .

1. infinitely many rational numbers
2. only two rational numbers
3. one and only one rational number
4. only ten rational numbers

Q. If a rational number is in $\frac{p}{q}$ form such that q > p, then we can convert the rational number into mixed fraction.

1. True
2. False

Q. How many rational numbers are present between 0 and 1 with a denominator of 50?

1. 50
2. 49
3. 51
4. 48

Q.

1.5 is a rational number between √2 and √3

1. True

2. False

Q. Which of the following rational number lies between $\frac{2}{3}$ and $\frac{4}{5}$?

1. $\frac{8}{15}$
2. $\frac{17}{15}$
3. $\frac{9}{15}$
4. $\frac{11}{15}$

Q.

Which of the rational fraction given in the options lie betwen $\frac{3}{7}$ and $\frac{4}{8}$?

1. 9/2

2. -11/8

3. -2

4. 5/8

Q. Select those which can be written as a rational number with denominator 4 in their lowest form
$\frac{7}{8},\frac{64}{16},\frac{36}{-12},\frac{-16}{17},\frac{5}{-4},\frac{140}{28}$

Q. Manu while having conversation with Tanu.

Manu: Rational numbers are closed under division because we get a rational number as the resultant:
$\frac{3}{5}÷\frac{7}{5}=\frac{3}{7}$

Tanu: Rational numbers are NOT closed under division because dividing any number by zero is undefined.

$\frac{3}{5}÷0$ is undefined

Who is correct?

1. Manu
2. Tanu
3. Both are correct
4. Both are wrong

Q.

Which of the following is a rational number between $\frac{1}{3}$ and $\frac{5}{3}$ ?

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

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

3. $\frac{5}{3}$
4. $\frac{6}{3}$

Q. Between two given rational numbers, there are rational numbers.

1. only one
2. exactly ten
3. infinitely many
4. exactly two

Q.

Which of the following rational numbers lie betwen $\frac{3}{7}$ and $\frac{4}{8}$ ?

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

2. $\frac{26}{56}$

3. -2

4. $\frac{13}{28}$

Q.

Between any two numbers, there can be an infinite number of _____.
(i) Natural numbers
(ii) Whole numbers
(iii) Integers
(iv) Rational numbers

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

2. (iv)

3. (ii), (iii), (iv)

4. (iii), (iv)

Q.

Between any two given rational numbers, there are infinite rational numbers.

1. True

2. False

Q. Which of the following lies between -1 and 0 ?

1. - 1.2
2. - 0.6
3. -3
4. 2

Q.

How many natural numbers are there
$\text{between}\frac{3}{10}\text{and}\frac{7}{10}$?

1. 0

2. 1

3. 2

4. 3

Q. There is/are _________________ between two given rational numbers.

1. one and only one rational number
2. only ten rational numbers
3. infinitely many rational numbers
4. only two rational numbers

Q.

Which of the following numbers lie
$\text{between}\frac{3}{4}\text{and}\frac{7}{4}?$

1. 5.0

2. 3.0

3. 2.5

4. 1.25