Question 1 :
................. is the additive inverse of $\dfrac {-p}{q}$, where $\dfrac {-p}{q}$ is a rational number.
Question 2 :
If $4\div 5= a$ and $5\div 4= b$, then which of the following is true?<br/>
Question 3 :
Which property is depicted by $\dfrac {1}{2} \times \left (6\times \dfrac {4}{3}\right ) = \left (\dfrac {1}{2} \times 6 \right )\times \dfrac {4}{3}$?
Question 5 :
The rational number between the pair of number $\dfrac{1}{2}$ and $\sqrt 1$ is:
Question 6 :
The sum of an integer and its additive inverse is always .........
Question 7 :
If .............. is excluded from the collection of rational numbers, then they are closed under division.
Question 8 :
Which of the following expressions shows that rational numbers are associative under multiplication ?
Question 10 :
Which one of the following is the rational number lying between $\displaystyle \frac{6}{7} \ and \ \frac{7}{8}?$
Question 11 : The value of $\dfrac {4}{5} + \dfrac {2}{3} + \dfrac {2}{5} $ is<div>(Use associative and commutative properties)</div>
Question 12 :
Which of the following rational number does not have a reciprocal?
Question 14 :
Find the additive inverse of the following rational numbers: <br/>(i) $-\dfrac{2}{3}$<br/>
Question 15 :
Which of the following rational numbers lies between $\dfrac {3}{2}$ and $4$ ?
Question 18 :
The missing value in $........ + \dfrac {2}{7} = \dfrac {2}{7} + \dfrac {-11}{13}$ is
Question 19 :
Given that, $\dfrac {-15}{2} \times \dfrac {12}{5} = \dfrac {12}{5} \times \dfrac {-15}{2}$<br/>This is the best example for
Question 20 : <div>Simplify using associative property : </div>$\dfrac {-11}{7}\times \dfrac {4}{14}\times \dfrac {21}{33}$
Question 21 :
$\dfrac {3x}{y}\times 1 = ..........$ is stated by multiplicative identity property.
Question 23 : <div><br/></div> A: Rational numbers are always closed under division.<div> R: Division by zero is not defined.</div>
Question 28 :
The sum of two rational numbers is $-5$. If one of the numbers is $\dfrac {-3}{5}$, find the other number
Question 30 :
Which of the following statements is incorrect, if $a, b, c$ and $d$ are any rational numbers?
Question 31 : <div>Choose the correct option for the following statement.</div>The property allows you to compute $\displaystyle \frac{1}{3}\times \left ( 6 \times\frac{4}{3} \right )as \left ( \frac{1}{3} \times 6\right )\times \frac{4}{3}$ is Associativity.<br/>
Question 32 :
Name the property of rational numbers illustrated by the given statement. $\displaystyle\frac{7}{4}\times \left(\displaystyle\frac{-8}{3}+\frac{-13}{12}\right)=\frac{7}{4}\times \frac{-8}{3}+\frac{7}{4}\times \frac{-13}{12}$.
Question 33 :
Find the missing value: $-61 + ....... = \dfrac {2}{3} + (-61)$
Question 34 :
Write the additive inverse of each of the following: $\dfrac{2}{8}$ and $-\dfrac{5}{9}$<br/>
Question 35 :
Name the property of rational numbers illustrated by the given statement. $\displaystyle\frac{-3}{2}\times \frac{5}{4}+\frac{-3}{2}\times \frac{-7}{6}=\frac{-3}{2}\times \left(\displaystyle\frac{5}{4}+\frac{-7}{6}\right)$.
Question 36 : <div><span>Simplify using commutative and associative property :</span><br/></div>$\dfrac {2}{9} + \dfrac {-3}{5} + \dfrac {1}{3}$
Question 38 :
$\displaystyle \frac{-7}{5} + \left(\displaystyle \frac{2}{-11} + \frac{-13}{25} \right) = \left(\displaystyle \dfrac{-7}{5} + \frac{2}{-11} \right) + \frac{-13}{25}$<br/>This property is<br/>
Question 40 :
Fill the blank spaces: $\dfrac {2}{8} + ......= \dfrac {-1}{6} + .......$
Question 42 : Simplify using commutative and associative property :<div> $\left [\dfrac {2}{5} + \dfrac {5}{7} + \dfrac {-12}{5}\right ]$</div>
Question 45 :
The number with which when $82$ is multiplied product remains the same.
Question 48 :
Fill in the blank: $\dfrac {2}{3} \times \left (-6 \times \dfrac {4}{5}\right ) = [ ..... \times -6] \times ....$
Question 54 :
Solve following equation-<br>$\dfrac { 3 }{ 7 } +\left( \dfrac { -6 }{ 11 } \right) +\left( \dfrac { -8 }{ 21 } \right) +\left( \dfrac { 5 }{ 22 } \right)$<br>
Question 55 :
Multiply $\dfrac { 6 }{ 13 }$ by the reciprocal of $\dfrac { -7 }{ 16 }$
Question 56 : <div>The value of $\left (\dfrac {5}{9}\times \dfrac {6}{11}\right ) + \left (\dfrac {1}{11}\times \dfrac {3}{9}\right )$ is</div>
Question 57 :
An illustration of the associative law for multiplication is given by
Question 58 :
If $x$ be any rational number, then $x + 0$ is equal to
Question 59 :
The multiplicative inverse of $\displaystyle \left ( \frac{1}{3} \right )^{-2}$ is
Question 60 :
Find multiplicative inverse of the following-<br>$\dfrac { -5 }{ 8 } \times \dfrac { -3 }{ 7 }$<br>
Question 63 :
The value of $\dfrac {3}{5} \times \dfrac {35}{24} + \dfrac {10}{1}\times \dfrac {3}{5} $ is
Question 64 :
Identity the rational number that does not lie between $ \cfrac{3}{5}$ and $ \cfrac{2}{3}$.<br/>
Question 65 :
Fill in the blank: $\dfrac {4}{7}\left (\dfrac {7}{15} - \dfrac {21}{4}\right ) = \dfrac {4}{7} \times \dfrac {7}{15} - ....\times \dfrac {4}{7}$
Question 67 :
The value of $\dfrac {1}{5} \left (\dfrac {15}{7} - \dfrac {20}{14}\right )$ is
Question 68 :
Study the following statements.<br><b>Statement - 1 : </b>Rational numbers are always closed under division.<br><b>Statement - 2 :</b> Division by zero is not defined.<br>Which of the following options hold?
Question 69 :
The value of $\left [\dfrac {3}{4}\times \dfrac {4}{12}\right ] + \left [\dfrac {3}{4} \times \dfrac {-3}{9}\right ]$ is
Question 70 :
<span>The product of rational number $\dfrac{-2}{3}$ and its additive inverse is</span>
Question 72 :
If $x + 0 = 0 + x = x,$ which is rational number, then $0$ is called
Question 75 :
Find the additive inverse of $\dfrac { -7 }{ 9 }$
Question 76 :
Which of the following rational numbers is equal to its reciprocal?
Question 77 :
If $D$ be subset of the set of all rational numbers, then $D$ is closed under the binary operations of ..............
Question 78 :
Name the property of multiplication illustrated by<br/>$\displaystyle \frac{-4}{3} \times \left(\displaystyle \frac{6}{5} + \frac{8}{7} \right) = \left(\displaystyle \frac{-4}{3} \times \frac{6}{5} \right) + \left(\displaystyle \frac{-4}{3} \times \frac{8}{7} \right)$
Question 79 :
Choose the rational number, which does not lie, between the rational numbers, $-\dfrac{2}{3}$ and $-\dfrac{1}{5}$<br/>
Question 80 :
State which property is used in following operation-<br>$\dfrac { -19 }{ 29 } \times \dfrac { 29 }{ -19 } =1$<br>
Question 81 : <div>Given that $Q$ is a rational number:</div><div>(i) Difference of two $Q$s is $Q$.</div><div>(ii) Subtraction is commutative on $Q$.</div><div>(iii) Addition is not commutative on $Q$.</div>Which option is wrong?
Question 84 :
The value of $\dfrac {1}{2} \times \left (\dfrac {1}{3} + \dfrac {4}{9}\right )$ is
Question 85 :
If A : Rational numbers are always closed under division and<br><span>R : Division by Zero is not defined, then which of the following statement is correct?</span>
Question 86 :
<span>The product of rational number $\dfrac{-2}{5}$ and its multiplicative inverse is</span>
Question 87 : If $x$ and $y$ are rational numbers then, then the following numbers:<div><span>$x^{2}- y^{2}$ is</span><br/></div>
Question 91 :
Subtract the additive inverse of $\dfrac {5}{6}$ from the multiplicative inverse of $\dfrac {-5}{7}\times \dfrac {14}{15}$.
Question 93 :
For rational numbers $\dfrac {a}{b}$ and $\dfrac {p}{q}$, where $a, b, p, q\in Q$ and .............. condition exists, then they are closed under division.
Question 94 :
Addition of rational numbers does not satisfy which of the following property?
Question 95 :
Write the multiplicative inverse of each of the following rational numbers:<br/>$7$; $-11$; $\displaystyle\frac{2}{5}$; $\displaystyle\frac{-7}{15}$
Question 96 :
Which of the following rational numbers lies between $\dfrac {-4}{5}$ and $\dfrac {-7}{5}$?
Question 100 :
Choose the rational number which does not lie between rational numbers $-\cfrac {2}{5}$ and $-\cfrac {1}{5}$
