Question 11 Mark
Draw the number line and represent the following rational number on it: $\frac{22}{-7}$
View full question & answer→Question 21 Mark
In the following state if the statement is true $(T)$ or false $(F):$ Every integer is a rational number.
AnswerEvery integer can be expressed in the form of $\frac{\text{p}}{\text{q}},$ where $q$ is not zero.
View full question & answer→Question 31 Mark
Draw the number line and represent the following rational number on it: $\frac{3}{4}$
View full question & answer→Question 41 Mark
In the following state if the statement is true $(T)$ or false $(F):$
Two rational numbers with different numerators cannot be equal.
Answer They can be equal, when simplified further.
View full question & answer→Question 51 Mark
Express the following as rational number with positive denominator: $\frac{19}{-7}$
AnswerMultiplying the number by $-1,$
we get: $\frac{19}{-7}=\frac{19\times-1}{-7\times-1}=\frac{-19}{7}$
View full question & answer→Question 61 Mark
Express $\frac{-192}{108}$ as a rational number with numerator: $-49$
AnswerRational number with numerator: $-49$ as numerator: $\frac{168}{6}\&\frac{-294}{6}=\frac{28}{-49} ($Dividing the numerator and denomintor by $6)$
View full question & answer→Question 71 Mark
If each of the following pairs represents a pair of equivalent rational numbers, Find the values of $x:$
$\frac{2}{3}\text{ and }\frac{5}{\text{x}}$
Answer$\frac{2}{3}=\frac{5}{\text{x}},\text{ then }\text{x}={5}\times\frac{3}{2}=\frac{15}{2}$
View full question & answer→Question 81 Mark
Draw the number line and represent the following rational number on it:
$\frac{-31}{3}$
View full question & answer→Question 91 Mark
Fill in the blanks: $\frac{-6}{\dots}=\frac{3}{11}=\frac{\dots}{-55}$
AnswerHere, $\frac{\frac{-6}{2}}{\frac{-22}{-2}}=\frac{3}{11}$ Also, $\frac{-6}{-22}=\frac{3\times-5}{11\times-5}=\frac{-15}{-55}$ Therefore, $\frac{-6}{-22}=\frac{3}{11}=\frac{-15}{-55}$
View full question & answer→Question 101 Mark
Express $\frac{3}{4}$ as a rational number with numerator: $20$
Answer$\frac{3}{4}$ as a rational number with denominator: $20$ is: $\frac{3\times5}{4\times5}=\frac{15}{20} ($Multiplying numerator and denominator by $5)$
View full question & answer→Question 111 Mark
In the following state if the statement is true $(T)$ or false $(F): 8$ can be written as a rational number with any integer as numerator.
View full question & answer→Question 121 Mark
Express $\frac{168}{-294}$ as a rational number with numerator: $14$
AnswerRational number with numerator: $14$ as numerator: $\frac{168}{42}\&\frac{-294}{21}=\frac{-8}{14} ($Dividing the numerator and denomintor by $-21)$
View full question & answer→Question 131 Mark
In the following, fill in the blanks so as to make the statement true: If $\frac{\text{p}}{\text{q}}$ is a rational number, then $q$ cannot be _______.
AnswerIf $\frac{\text{p}}{\text{q}}$ is a rational number, then $q$ cannot be Zero.
View full question & answer→Question 141 Mark
Write down the rational whose numerator is the smallest three digit number and denominator is the largest four digit number.
AnswerSmallest three digit number $=100$ Largest four digit number $=9999$ Therefore rational number $=\frac{100}{9999}$
View full question & answer→Question 151 Mark
Determine whether the following rational numbers are in the lowest form or not: $\frac{24}{128}$
AnswerWe observe that $24$ and $128$ is not $1.$
Thus, given rational number is not in its simplest form.
View full question & answer→Question 161 Mark
If each of the following pairs represents a pair of equivalent rational numbers, Find the values of $x: \frac{13}{6}\text{ and }\frac{-65}{\text{x}}$
Answer$\frac{13}{6}=\frac{-65}{\text{x}}$
$\Rightarrow\text{Then, }\text{x}=\frac{6}{13}\times(-65)=\times(-5)=-30$
View full question & answer→Question 171 Mark
Express $\frac{3}{4}$ as a rational number with numerator: $-80$
Answer$\frac{3}{4}$ as a rational number with denominator: $-80$ is:
$\frac{3\times-20}{4\times-20}=\frac{-60}{-80} ($Multiplying numerator and denominator by $-20)$
View full question & answer→Question 181 Mark
Which of the two rational numbers in the following pairs of rational numbers is smaller? $\frac{-12}{5},-3$
Answer$\frac{-12}{5}\text{ and } -3=\frac{-3\times5}{1\times5}=\frac{-15}{5}$ Therefore $\frac{-12}{5}>-3$
View full question & answer→Question 191 Mark
Express $\frac{2}{5}$ as a rational number with numerator: $500$
Answer$\frac{2}{5}$ as a rational number with denominator: $500$ is:
$\frac{2\times250}{5\times250}=\frac{500}{1250} ($Multiplying numerator and denominator by $250)$
View full question & answer→Question 201 Mark
Express $\frac{-192}{108}$ as a rational number with numerator: $1470$
AnswerRational number with numerator: $1470$ as numerator:
$\frac{168\times-5}{-294\times-5}=\frac{-840}{1470} ($Dividing the numerator and denomintor by $-5)$
View full question & answer→Question 211 Mark
Express the following as rational number with positive denominator:
$\frac{(-15)}{(-28)}$
AnswerRational number with positive denominators:
Multiplying the number by $-1,$
We get:
$\frac{-15}{28}=\frac{-15\times-1}{-28\times-1}=\frac{15}{28}$
View full question & answer→Question 221 Mark
In the following, fill in the blanks so as to make the statement true: If $m$ is a common divisor of $a$ and $b,$
$\text{then }\frac{\text{a}}{\text{b}}=\frac{\text{a}\div\text{m}}{\dots}$
AnswerIf m is a common divisor of $a$ and $b,$
$\text{then }\frac{\text{a}}{\text{b}}=\frac{\text{a}\div\text{m}}{\text{b}\div\text{m}}$
View full question & answer→Question 231 Mark
Express $\frac{2}{5}$ as a rational number with numerator: $-750$
Answer$\frac{2}{5}$ as a rational number with denominator: $-750$ is: $\frac{2\times-375}{5\times-375}=\frac{-750}{-1875} ($Multiplying numerator and denominator by $-375)$
View full question & answer→Question 241 Mark
In the following, find an equivalent form of the rational number having common denominator: $\frac{3}{4}\text{ and }\frac{5}{12}$
AnswerEquivalent forms of the rational number having common denominator are: $\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}\text{ and }\frac{5}{12}$
View full question & answer→Question 251 Mark
In the following, fill in the blanks so as to make the statement true: If $p$ and $q$ are positive Integers, then $\frac{\text{p}}{\text{q}}$ is a ______ rational number and $\frac{\text{p}}{-\text{q}}$ is a ______ rational number.
AnswerIf $p$ and $q$ are positive Integers, then $\frac{\text{p}}{\text{q}}$ is a Positive rational number rational number and $\frac{\text{p}}{-\text{q}}$ is a negative rational number rational number.
View full question & answer→Question 261 Mark
Write down the denominator of the following rational numbers: $\frac{-15}{-82}$
AnswerDenominators are: $-82$
View full question & answer→Question 271 Mark
Fill in the blanks by the correct symbol out of >, =, or <: $\frac{-6}{7}\dots\frac{7}{13}$
AnswerBecause every positive number is greater than a negative number, $\frac{-6}{7}<\frac{7}{13}$
View full question & answer→Question 281 Mark
Write down the numerator of the following rational numbers: $\frac{-17}{-21}$
AnswerNumerators are: $-17$
View full question & answer→Question 291 Mark
Draw the number line and represent the following rational number on it: $\frac{-3}{16}$
View full question & answer→Question 301 Mark
In the following, fill in the blanks so as to make the statement true: Two rational numbers are said to be equal, if they have the same ______ form.
AnswerTwo rational numbers are said to be equal, if they have the same Standard form.
View full question & answer→Question 311 Mark
Write down the numerator of the following rational numbers: $\frac{15}{-4}$
AnswerNumerators are: $15$
View full question & answer→Question 321 Mark
Express $\frac{3}{5}$ as a rational number with numerator: $-15$
AnswerRational number with numerator: $-15$ is: $\frac{3\times-5}{5\times-5}=\frac{-15}{-25} ($Multiplying numerator and denominator by $-5)$
View full question & answer→Question 331 Mark
Write down the denominator of the following rational numbers: $0$
AnswerDenominators are: $1$
View full question & answer→Question 341 Mark
In the following state if the statement is true $(T)$ or false $(F):$
$8$ can be written as a rational number with any integer as denominator.
View full question & answer→Question 351 Mark
Draw the number line and represent the following rational number on it: $\frac{3}{8}$
View full question & answer→Question 361 Mark
In the following, fill in the blanks so as to make the statement true: A number which can be expressed in the form $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $q$ is not equal to zero, is called a ______.
AnswerA number which can be expressed in the form $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $q$ is not equal to zero, is called a Rational number.
View full question & answer→Question 371 Mark
Which of the following statements are true: The rational number $\frac{3}{4}$ lies to the left of zero on the number line.
View full question & answer→Question 381 Mark
Fill in the blanks by the correct symbol out of >, =, or <: $\frac{-2}{3}\dots\frac{5}{-8}$
AnswerOn multiplying $\frac{-2}{3}$ by $\frac{8}{8},$ we get $\frac{-16}{24}$ On multiplying $\frac{5}{-8}$ by $\frac{3}{3},$ we get $\frac{15}{-24}=\frac{-15}{24}$ Because $-15>-16,\frac{-2}{3}<\frac{5}{-8}$
View full question & answer→Question 391 Mark
Draw the number line and represent the following rational number on it: $\frac{-7}{3}$
View full question & answer→Question 401 Mark
Write down the denominator of the following rational numbers:
$\frac{11}{-34}$
AnswerDenominators are: $-34$
View full question & answer→Question 411 Mark
Which of the following statements are true: The rational number $\frac{-3}{-5}$ is on the right of $\frac{-4}{7}$ on the number line.
AnswerTrue.Solution:
they both are of opposite signs and positive number is greater than the negative number.
Thus, it is on the right of the negative number.
View full question & answer→Question 421 Mark
Express $\frac{3}{4}$ as a rational number with numerator: $44$
Answer$\frac{3}{4}$ as a rational number with denominator: $44$ is:
$\frac{3\times11}{4\times11}=\frac{33}{44} ($Multiplying numerator and denominator by $11)$
View full question & answer→Question 431 Mark
Which of the two rational numbers in the following pairs of rational numbers is smaller? $\frac{16}{-5},3$
View full question & answer→Question 441 Mark
Which of the following statements are true: The rational number $\frac{-12}{-17}$ lies to the left of zero on the number line.
AnswerFalse.Solution:
It lies to the right of zero because it is a positive number.
View full question & answer→Question 451 Mark
Express $\frac{3}{4}$ as a rational number with numerator: $36$
Answer$\frac{3}{4}$ as a rational number with denominator: $36$ is:
$\frac{3\times9}{4\times9}=\frac{27}{36} ($Multiplying numerator and denominator by $9)$
View full question & answer→Question 461 Mark
Draw the number line and represent the following rational number on it: $\frac{2}{3}$
View full question & answer→Question 471 Mark
Write $\frac{-14}{42}$ in a form so that the numerator with denominator: $42$
AnswerRational number with numerator: $42$ is:
$\frac{-14\times-3}{7\times-3}=\frac{42}{-21} ($Dividing numerator and denominator by $-3)$
View full question & answer→Question 481 Mark
Express $\frac{3}{5}$ as a rational number with numerator: $6$
AnswerRational number with numerator: $6$ is:
$\frac{3\times2}{5\times2}=\frac{6}{10} ($Multiplying numerator and denominator by $2)$
View full question & answer→Question 491 Mark
In the following state if the statement is true $(T)$ or false $(F):$ If $\frac{\text{a}}{\text{b}}$ is a rational number and $m$ any integer, $\text{Then}\frac{\text{a}}{\text{b}}=\frac{\text{a}\times\text{m}}{\text{b}\times\text{m}}$
View full question & answer→Question 501 Mark
If each of the following pairs represents a pair of equivalent rational numbers, Find the values of $x: \frac{3}{5}\text{ and }\frac{\text{x}}{-25}$
Answer$\frac{3}{5}=\frac{\text{x}}{-25},$
$\Rightarrow\text{Then, }\text{x}=\frac{3}{5}\times(-25)=\frac{-75}{5}=-15$
View full question & answer→