Question 11 Mark
Which of the two rational numbers is greater in the following pairs? $\frac{-3}{5}\text{ or }0$
View full question & answer→Question 21 Mark
Multiply: $\frac{9}{8}\text{ by }\frac{32}{3}$
View full question & answer→Question 31 Mark
Fill n the blank: $(\dots)\div\Big(\frac{-7}{5}\Big)=\frac{10}{19}$
Answer$\Big(\frac{-14}{19}\Big)\div\Big(\frac{-7}{5}\Big)=\frac{10}{19}$
$(\dots?\dots)\div\Big(\frac{-7}{5}\Big)=\frac{10}{19}$
$(\dots?\dots)=\frac{10}{19}\times\frac{-7}{5}$
$(\dots?\dots)=\frac{-14}{19}$
View full question & answer→Question 41 Mark
Fill in the blank: Multiplicative inverse of $-1\frac{3}{4}$ is ....
AnswerMultiplicative inverse of $-1\frac{3}{4},$ i.e.,
Multiplicative inverse of $-1\frac{3}{4},$ i.e., $\frac{-7}{4}\text{ is }\frac{-4}{7}$
View full question & answer→Question 51 Mark
Which of the following are rational number? $-3$
Answer$-3$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 61 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.$0$
Answer$0=\frac{0}{1},$ numerator =$ 0$, denominator $= 1$
View full question & answer→Question 71 Mark
Write $'T'$ for true and $'F'$ for false for the following: $\frac{-3}{5}$ is the largest among $\frac{-3}{5},\frac{-7}{10}$
AnswerTrue.
$LCM$ of $5, 10$ and $6$ is $30$
$\therefore\frac{-3\times6}{5\times6}=\frac{-18}{30}$
$\frac{-7\times3}{10\times3}=\frac{-21}{30}$
and $\frac{-5\times5}{-6\times5}=\frac{-25}{30}$
$\therefore\frac{-3}{5}$ is the largest among the given fractions.
View full question & answer→Question 81 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{5}{6}\text{ or }0$
Answer$\frac{5}{6}\text{ or }0\frac{5}{6}$ is greater as any positive number is always greater than $0$.
View full question & answer→Question 91 Mark
Write down the numerator and the denominator of the following rational numbers: $\frac{5}{-8}$
AnswerNumerator $= 5$, denominator $= -8$
View full question & answer→Question 101 Mark
Write the following as a rational number with positive denominator:
$\frac{12}{-17}$
Answer $\frac{12}{-17}=\frac{(-1)\times12}{(-1)\times(-17)}=\frac{-12}{17}$
View full question & answer→Question 111 Mark
Multiply: $\frac{7}{6}\text{ by }24$
Answer$\frac{7}{6}\text{ by }24$ $=\frac{7}{6}\times\frac{24}{1}$ $=\frac{7\times4}{1\times1}$ $=\frac{28}{1}=28$
View full question & answer→Question 121 Mark
Which of the following are rational number? $\frac{-6}{11}$
Answer$\frac{6}{11}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 131 Mark
Find the additive inverse of: $5$
AnswerAdditive inverse of $5 = -5$
View full question & answer→Question 141 Mark
Write the following as a rational number with positive denominator: $\frac{11}{-6}$
Answer$\frac{11}{-6}=\frac{(-1)\times11}{(-1)\times(-6)}=\frac{-11}{6}$
View full question & answer→Question 151 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.$1$
Answer$1=\frac{1}{1},$ numerator $= 1$, denominator $= 1$
View full question & answer→Question 161 Mark
Multiply: $\frac{3}{4}\text{ by }\frac{5}{7}$
Answer$\frac{3}{4}\text{ by }\frac{5}{7}$ $=\frac{3}{4}\times\frac{5}{7}$ $=\frac{3\times5}{4\times7}$ $=\frac{15}{28}$
View full question & answer→Question 171 Mark
Write $'T'$ for true and $'F'$ for false for the following:
$\frac{-15}{-11}$ lies to the left of $0$ on the number line.
AnswerFalse.
This is because $\frac{-15}{-11}=\frac{15}{11}$ which lies to the right of $0$.
View full question & answer→Question 181 Mark
Which of the following are rational number? $0=\frac{0}{1}$
Answer$0=\frac{0}{1}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 191 Mark
Which of the following statements are true?
$\frac{-3}{5}$ lies to the left of $0$ on the number line.
AnswerTrue.
All negative numbers lie on the left of $0$.
View full question & answer→Question 201 Mark
Find four rational numbers equivalent to the following: $\frac{6}{11}$
AnswerEquivalent rational numbers are given below:$\frac{6}{11}=\frac{12}{22},\frac{18}{33},\frac{24}{44},\frac{30}{55}$
View full question & answer→Question 211 Mark
Write down the numerator and the denominator of the following rational numbers:
$9$
AnswerNumerator $= 9$, denominator $= 1$
View full question & answer→Question 221 Mark
Fill in the blank with the correct symbol out of $>, =$ and $<$. $\frac{-3}{7}\ ......\ \frac{6}{-13}$
Answer$\frac{-3}{7}>\frac{6}{-13}$
$\frac{6}{-13}=\frac{6\times(-1)}{-13\times(-1)}=\frac{-6}{13}$ (Making denominator positive)
$LCM$ of $7$ and $13 = 91$
$\therefore\frac{-3}{7}=\frac{-3\times13}{7\times13}=\frac{-39}{91}$
$\frac{-6}{13}=\frac{-6\times7}{13\times7}=\frac{-42}{91}$
It is clear that $\frac{-39}{91}>\frac{-42}{91}$
$\therefore\frac{-3}{7}>\frac{6}{-13}$
View full question & answer→Question 231 Mark
State whether the given statement is true or false: The quotient of two integers is always a rational number.
AnswerFalse.
As zero is a rational number but division of zero is meaningless.
View full question & answer→Question 241 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{7}{9}\text{ or }\frac{-5}{9}$
Answer $\frac{7}{9}\text{ or }\frac{-5}{9},\frac{7}{9}$ is greater as any positive number is greater than any negative number.
View full question & answer→Question 251 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case. $5$
Answer$5=\frac{5}{1},$ numerator $= 5$, denominator $= 1$
View full question & answer→Question 261 Mark
Which of the following are rational number? $\frac{1}{0}$
Answer$\frac{1}{0}$ is not a rational number because, here $\text{q}=0$
View full question & answer→Question 271 Mark
Which of the following are pairs of equivalent rational number?
$\frac{2}{3},\frac{3}{2}$
Answer $\frac{2}{3},\frac{3}{2}$
There are not equivalent rational numbers.
View full question & answer→Question 281 Mark
Which of the following are rational number? $\frac{0}{1}$
Answer$\frac{0}{1}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 291 Mark
Fill in the blank with the correct symbol out of $>, =$ and $<$.
$0\ ......\ \frac{-3}{-5}$
Answer$0<\frac{-3}{-5}$
$\frac{-3}{-5}=\frac{-3\times(-1)}{-5\times(-1)}=\frac{3}{5}$
It is clear that $0<\frac{3}{5}$ $0<\frac{-3}{-5}$
View full question & answer→Question 301 Mark
Which of the following are rational number?
$\frac{-8}{-12}$
Answer$\frac{-8}{-12}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 311 Mark
Express the following rational numbers as the sum of an integer and a rational number: $\frac{-11}{7}$
Answer$\frac{-11}{7}=\Big(-1\frac{4}{7}\Big)=-1+\Big(\frac{-4}{7}\Big)$
View full question & answer→Question 321 Mark
Write the following as a rational number with positive denominator: $\frac{-8}{-19}$
Answer$\frac{-8}{-19}=\frac{(-1)\times(-8)}{(-1)\times(-19)}=\frac{8}{19}$
View full question & answer→Question 331 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.$-3$
Answer$-3=\frac{-3}{1},$ numerator $= 1$, denominator $= 1$
View full question & answer→Question 341 Mark
Fill in the blank: $\Big(\frac{-3}{8}\Big)+(\dots)=\frac{5}{12}-\Big(\frac{-3}{8}\Big)$
Answer$\Big(\frac{-3}{8}\Big)+\Big(\frac{19}{24}\Big)=\frac{5}{12}-\Big(\frac{-3}{8}\Big)$
$\Big(\frac{-3}{8}\Big)+(\dots)=\frac{5}{12}-\Big(\frac{-3}{8}\Big)$
$(\dots)=\frac{5}{12}+\frac{3}{8}$
$LCM$ of $12$ and $8$ is $24$ $(\dots)=\frac{10+9}{24}$
$(\dots)=\frac{19}{24}$
View full question & answer→Question 351 Mark
State whether the given statement is true or false: Every fraction is a rational number.
Question 361 Mark
Fill in the blank with the correct symbol out of $>, =$ and $<$. $\frac{-2}{3}\ ......\ \frac{5}{-8}$
Answer$\frac{-2}{3}<\frac{5}{-8}$
$\frac{5}{-8}=\frac{5\times(-1)}{-8\times(-1)}=\frac{-5}{8}$
$LCM$ of $3$ and $8 = 24$
$\therefore\frac{-2}{3}=\frac{-2\times8}{3\times8)}=\frac{-16}{24}$
$\frac{-5}{8}=\frac{-5\times3}{8\times3}=\frac{-15}{24}$
It is clear that $\frac{-16}{24}=\frac{-15}{24}$
$\therefore\frac{-2}{3}<\frac{5}{-8}$
View full question & answer→Question 371 Mark
Find four rational numbers equivalent to the following: $\frac{7}{-15}$
AnswerEquivalent rational numbers are given below:$\frac{7}{-15}=\frac{14}{-30},\frac{21}{-45},\frac{28}{-60},\frac{35}{-75}$
View full question & answer→Question 381 Mark
Express the following rational numbers as the sum of an integer and a rational number: $\frac{-25}{9}$
Answer$\frac{-25}{9}=\Big(-2\frac{7}{9}\Big)=-2+\Big(\frac{-7}{9}\Big)$
View full question & answer→Question 391 Mark
State whether the given statement is true or false:
Every rational number is a fraction.
AnswerFalse.
Every rational is not a fraction In fraction, numerator and denominators is a whole number but denominator can’t be zero.
View full question & answer→Question 401 Mark
Which of the following are rational number? $\frac{-13}{15}$
Answer$\frac{-13}{15}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 411 Mark
Express the following rational numbers as the sum of an integer and a rational number: $\frac{-103}{20}$
Answer$\frac{-103}{20}=\Big(-5\frac{3}{20}\Big)=-5+\Big(\frac{-3}{20}\Big)$
View full question & answer→Question 421 Mark
Fill n the blank:
$\frac{9}{8}\div(\dots)=\frac{-3}{2}$
Answer$\frac{9}{8}\div\Big(\frac{-3}{4}\Big)=\frac{-3}{2}$
$\frac{9}{8}\div(\dots?\dots)=\frac{-3}{2}$
$\frac{9}{8}\div(\dots?\dots)=\frac{(-3)}{2}$
$(\dots?\dots)=\frac{9}{8}\times\frac{2}{(-3)}$
$(\dots?\dots)=\frac{-3}{4}$
View full question & answer→Question 431 Mark
Find the multiplicative inverse, or reciprocal of the following: $-1$
AnswerReciprocal of $-1 = -1$
View full question & answer→Question 441 Mark
Which of the following statements are true? $\frac{1}{3}\text{ and }\frac{-5}{2}$ lie on opposite sides of $0$ on the number line.
AnswerTrue.
All positive numbers lie on the right of $0$ and all negative numbers on the left of $0$.
View full question & answer→Question 451 Mark
Which of the following are rational number? $6$
Answer$6$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$
View full question & answer→Question 461 Mark
Write down the numerator and the denominator of the following rational numbers: $\frac{-8}{11}$
AnswerNumerator $= -8$, denominator $= -11$
View full question & answer→Question 471 Mark
Which of the following are rational number? $\frac{0}{0}$
Answer$\frac{0}{0}$ is not a rational number because, here $\text{q}=0$
View full question & answer→Question 481 Mark
Fill in the blank: $\Big(\frac{-65}{14}\Big)+(\dots)=2\frac{1}{2}$
Answer$\Big(\frac{-65}{14}\Big)+\Big(\frac{14}{15}\Big)+2\frac{1}{2}$
$\Big(\frac{-65}{14}\Big)+(\dots)=2\frac{1}{2}$
$=\frac{-65}{14}+\frac{5}{2}$
$=\frac{-65}{14}\times\frac{2}{5}$
$=\frac{-13}{7}$
View full question & answer→Question 491 Mark
Add the following rational numbers:
$\frac{-2}{5}\text{ and }\frac{1}{5}$
Answer $\frac{-2}{5}\text{ and }\frac{1}{5}$
$=\frac{-2}{5}+\frac{1}{5}=\frac{-2+1}{5}$
$=\frac{-1}{5}$
View full question & answer→Question 501 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.
-3
Answer$-3=\frac{-3}{1},$ numerator = 1, denominator = 1
View full question & answer→Question 511 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.
-23
Question 521 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.
1
Answer$1=\frac{1}{1},$ numerator = 1, denominator = 1
View full question & answer→Question 531 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.
0
Answer$0=\frac{0}{1},$ numerator = 0, denominator = 1
View full question & answer→Question 541 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.
5
Answer$5=\frac{5}{1},$ numerator = 5, denominator = 1
View full question & answer→Question 551 Mark
Write the following as a rational number with positive denominator:
$\frac{-8}{-19}$
Answer$\frac{-8}{-19}=\frac{(-1)\times(-8)}{(-1)\times(-19)}=\frac{8}{19}$
View full question & answer→Question 561 Mark
Write the following as a rational number with positive denominator:
$\frac{1}{-2}$
View full question & answer→Question 571 Mark
Write the following as a rational number with positive denominator:
$\frac{12}{-17}$
Answer$\frac{12}{-17}=\frac{(-1)\times12}{(-1)\times(-17)}=\frac{-12}{17}$
View full question & answer→Question 581 Mark
Write the following as a rational number with positive denominator:
$\frac{11}{-6}$
Answer$\frac{11}{-6}=\frac{(-1)\times11}{(-1)\times(-6)}=\frac{-11}{6}$
View full question & answer→Question 591 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{8}{19}$
View full question & answer→Question 601 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{-8}{11}$
AnswerNumerator = -8, denominator = -11
View full question & answer→Question 611 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{5}{-8}$
AnswerNumerator = 5, denominator = -8
View full question & answer→Question 621 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{-13}{15}$
View full question & answer→Question 631 Mark
Write down the numerator and the denominator of the following rational numbers:
9
AnswerNumerator = 9, denominator = 1
View full question & answer→Question 641 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{7}{9}\text{ or }\frac{-5}{9}$
Answer$\frac{7}{9}\text{ or }\frac{-5}{9},\frac{7}{9}$ is greater as any positive number is greater than any negative number.
View full question & answer→Question 651 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{5}{8}\text{ or }\frac{3}{8}$
View full question & answer→Question 661 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{5}{6}\text{ or }0$
Answer$\frac{5}{6}\text{ or }0\frac{5}{6}$ is greater as any positive number is always greater than 0.
View full question & answer→Question 671 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{-3}{5}\text{ or }0$
View full question & answer→Question 681 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{-15}{4}\text{ or }\frac{-17}{4}$
View full question & answer→Question 691 Mark
Which of the following are rational number?
$\frac{-8}{-12}$
Answer$\frac{-8}{-12}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 701 Mark
Which of the following are rational number?
$\frac{-6}{11}$
Answer$\frac{6}{11}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 711 Mark
Which of the following are rational number?
$\frac{5}{-8}$
View full question & answer→Question 721 Mark
Which of the following are rational number?
$\frac{-13}{15}$
Answer$\frac{-13}{15}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 731 Mark
Which of the following are rational number?
$\frac{1}{0}$
Answer$\frac{1}{0}$ is not a rational number because, here $\text{q}=0$
View full question & answer→Question 741 Mark
Which of the following are rational number?
$\frac{0}{1}$
Answer$\frac{0}{1}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 751 Mark
Which of the following are rational number?
$\frac{0}{0}$
Answer$\frac{0}{0}$ is not a rational number because, here $\text{q}=0$
View full question & answer→Question 761 Mark
Which of the following are rational number?
$0=\frac{0}{1}$
Answer$0=\frac{0}{1}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 771 Mark
Which of the following are rational number?
6
Answer6 is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 781 Mark
Which of the following are rational number?
-3
Answer-3 is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
View full question & answer→Question 791 Mark
Which of the following are pairs of equivalent rational number?
$\frac{2}{3},\frac{3}{2}$
Answer$\frac{2}{3},\frac{3}{2}$
There are not equivalent rational numbers.
View full question & answer→Question 801 Mark
Multiply:
$\frac{9}{8}\text{ by }\frac{32}{3}$
View full question & answer→Question 811 Mark
Multiply:
$\frac{7}{6}\text{ by }24$
Answer$\frac{7}{6}\text{ by }24$
$=\frac{7}{6}\times\frac{24}{1}$
$=\frac{7\times4}{1\times1}$
$=\frac{28}{1}=28$
View full question & answer→Question 821 Mark
Multiply:
$\frac{3}{4}\text{ by }\frac{5}{7}$
Answer$\frac{3}{4}\text{ by }\frac{5}{7}$
$=\frac{3}{4}\times\frac{5}{7}$
$=\frac{3\times5}{4\times7}$
$=\frac{15}{28}$
View full question & answer→Question 831 Mark
Multiply:
$\frac{-2}{3}\text{ by }\frac{6}{7}$
View full question & answer→Question 841 Mark
Find the multiplicative inverse, or reciprocal of the following:
$\frac{13}{25}$
View full question & answer→Question 851 Mark
Find the multiplicative inverse, or reciprocal of the following:
0
Question 861 Mark
Find the multiplicative inverse, or reciprocal of the following: -1
Question 871 Mark
Find the multiplicative inverse, or reciprocal of the following:
18
AnswerReciprocal of $18=\frac{1}{18}$
View full question & answer→Question 881 Mark
Find the additive inverse of:
$\frac{3}{14}$
View full question & answer→Question 891 Mark
Find the additive inverse of:
5
AnswerAdditive inverse of 5 = -5
View full question & answer→Question 901 Mark
Find the additive inverse of:
0
Question 911 Mark
Find four rational numbers equivalent to the following:
8
Question 921 Mark
Find four rational numbers equivalent to the following:
$\frac{7}{-15}$
AnswerEquivalent rational numbers are given below: $\frac{7}{-15}=\frac{14}{-30},\frac{21}{-45},\frac{28}{-60},\frac{35}{-75}$
View full question & answer→Question 931 Mark
Find four rational numbers equivalent to the following:
$\frac{6}{11}$
AnswerEquivalent rational numbers are given below: $\frac{6}{11}=\frac{12}{22},\frac{18}{33},\frac{24}{44},\frac{30}{55}$
View full question & answer→Question 941 Mark
Find four rational numbers equivalent to the following:
$\frac{-3}{8}$
View full question & answer→Question 951 Mark
Find four rational numbers equivalent to the following:
1
Question 961 Mark
Find four rational numbers equivalent to the following:
-1
Question 971 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{-25}{9}$
Answer$\frac{-25}{9}=\Big(-2\frac{7}{9}\Big)=-2+\Big(\frac{-7}{9}\Big)$
View full question & answer→Question 981 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{12}{5}$
View full question & answer→Question 991 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{-11}{7}$
Answer$\frac{-11}{7}=\Big(-1\frac{4}{7}\Big)=-1+\Big(\frac{-4}{7}\Big)$
View full question & answer→Question 1001 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{-103}{20}$
Answer$\frac{-103}{20}=\Big(-5\frac{3}{20}\Big)=-5+\Big(\frac{-3}{20}\Big)$
View full question & answer→Question 1011 Mark
Add the following rational numbers:
$\frac{-2}{5}\text{ and }\frac{1}{5}$
Answer$\frac{-2}{5}\text{ and }\frac{1}{5}$
$=\frac{-2}{5}+\frac{1}{5}=\frac{-2+1}{5}$
$=\frac{-1}{5}$
View full question & answer→Question 1021 Mark
Add the following rational numbers:
$\frac{12}{7}\text{ and }\frac{3}{7}$
View full question & answer→