Tag: representation of rational numbers on number line

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Questions Related to representation of rational numbers on number line

Multiple choice maths fractions, decimals and rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

Which of the following represents a rational number between $-6$ and $-7$?

  1. $\dfrac {-6 - 7}{2}$
  2. $\dfrac {-6 + 7}{2}$
  3. $\dfrac {6 + 7}{2}$
  4. $-6 - 7$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Mean $= \dfrac {(-6) + (-7)}{2} = \dfrac {-6 -7}{2}$.

Mean of two numbers always lies between the two numbers.
So, answer is option $A.$

Multiple choice maths fractions, decimals and rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

A rational number between $\dfrac {-9}{10}$ and $\dfrac {4}{5}$ is:

  1. $\left (\dfrac {-9}{10} + \dfrac {4}{5}\right ) \times \dfrac {1}{2}$
  2. $\left (\dfrac {-9}{10} - \dfrac {4}{5}\right ) + \dfrac {1}{2}$
  3. $\left (\dfrac {-9}{10} + \dfrac {4}{5}\right ) \times 2$

  4. All above are correct
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Mean of two numbers always lies between the two numbers.

Mean 

$= \dfrac{\left (\dfrac {-9}{10} + \dfrac {4}{5}\right )}{2}$

$= \left (\dfrac {-9}{10} + \dfrac {4}{5}\right )\times \dfrac {1}{2}$.

So, answer is option $A.$
Multiple choice maths fractions, decimals and rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

Which of the following rational numbers lies between $\dfrac {3}{4}$ and $\dfrac {13}{8}$?

  1. $\dfrac {11}{16}$
  2. $\dfrac {12}{16}$
  3. $\dfrac {19}{16}$
  4. $\dfrac {26}{16}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$Mean = \dfrac{\left (\dfrac {3}{4} + \dfrac {13}{8}\right )}{2} = \dfrac {6 + 13}{8} \times \dfrac {1}{2} = \dfrac {19}{16}$.

Mean of two numbers always lies between the two numbers.
So, answer is option $C.$

Multiple choice maths fractions, decimals and rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

Which of the following rational number lies between $\dfrac {4}{9}$ and $\dfrac {4}{5}$?

  1. $-1$
  2. $\dfrac {28}{45}$
  3. $0$
  4. $1$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$Mean = \dfrac{\left (\dfrac {4}{9} + \dfrac {4}{5}\right )}{2} = \left (\dfrac {20 + 36}{45}\right ) \times \dfrac {1}{2} = \dfrac {56}{45}\times \dfrac {1}{2}$
$= \dfrac {28}{45}$

Mean of two numbers always lies between the two numbers.
So, answer is option $B.$ 

Multiple choice maths fractions, decimals and rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

What fraction lies exactly halfway between $\dfrac{2}{3}$ and $\dfrac{3}{4}$?

  1. $\dfrac{3}{5}$
  2. $\dfrac{5}{6}$
  3. $\dfrac{7}{12}$
  4. $\dfrac{9}{16}$
  5. $\dfrac{17}{24}$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Consider $3 \times 4 = 12$, so 
$\dfrac 23 = \dfrac{8}{12}$


$\dfrac 34 = \dfrac{9}{12}$

Multiplying the numerator and denominator by $2$:
$\dfrac{16}{24}$ and $\dfrac{18}{24}$.

The mid point is $\dfrac{17}{24}$

Hence option $E$ is correct.

Multiple choice maths fractions, decimals and rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

Choose the rational number, which does not lie, between the rational numbers, $\dfrac{-2}{3}$ and $\dfrac{-1}{5}$

  1. $\dfrac{-3}{10}$
  2. $\dfrac{3}{10}$
  3. $\dfrac{-1}{4}$
  4. $\dfrac{-7}{20}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The given rational numbers $-\dfrac { 2 }{ 3 }$ and $-\dfrac { 1 }{ 5 }$ are negative rational numbers because the numerator and denominator of both the rational numbers are of opposite signs that is the numerator of both the integers is negative while the denominators are positive.


Therefore, none of the positive rational number can lie between the given negative rational numbers $-\dfrac { 2 }{ 3 }$ and $-\dfrac { 1 }{ 5 }$.


Hence, $\dfrac { 3 }{ 10 }$ does not lie between the rational numbers $-\dfrac { 2 }{ 3 }$ and $-\dfrac { 1 }{ 5 }$.

Multiple choice maths operations on rational numbers representation of rational numbers on number line rational numbers on the number line rational numbers between two rational numbers

Rational number between $\dfrac{3}{8}$ and $\dfrac{7}{12}$ are 

  1. $\dfrac{3}{8},\dfrac{41}{96},\dfrac{23}{48},\dfrac{7}{12}$
  2. $\dfrac{3}{8},\dfrac{41}{196},\dfrac{23}{48},\dfrac{7}{12}$
  3. $\dfrac{3}{8},\dfrac{41}{96},\dfrac{23}{148},\dfrac{7}{12}$

  4. None of the above.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

3/8 = 0.375 and 7/12 = 0.5833. Option A: 41/96 = 0.427 and 23/48 = 0.479. Both are between 0.375 and 0.5833.