Question 11 Mark
Find
$\frac{-6}{7} \times \frac{5}{7}$
Answer$\frac{-6}{7} \times \frac{5}{7}=\frac{(-6) \times 5}{7 \times 7}=\frac{-30}{49}$
View full question & answer→Question 21 Mark
Find
$\frac{2}{3} \times \frac{-7}{8}$
Answer$\frac{2}{3} \times \frac{-7}{8}=\frac{2 \times(-7)}{3 \times 8}=\frac{-14}{24}=\frac{-7}{12}$
View full question & answer→Question 31 Mark
What will be the reciprocal of
$\frac{-8}{5}$ ?
AnswerThe reciprocal of $\frac{-8}{5}=\frac{5}{-8}$ i.e. $\frac{-5}{8}$.
View full question & answer→Question 41 Mark
What will be the reciprocal of
$\frac{-6}{11}$ ?
AnswerThe reciprocal of $\frac{-6}{11}=\frac{11}{-6}$ i.e. $\frac{-11}{6}$.
View full question & answer→Question 51 Mark
Find
$\frac{2}{3} \times \frac{-5}{9}$
Answer$\frac{2}{3} \times \frac{-5}{9}=\frac{2 \times(-5)}{3 \times 9}=\frac{-10}{27}$
View full question & answer→Question 61 Mark
Find
$\frac{-3}{4} \times \frac{1}{7}$
Answer$\frac{-3}{4} \times \frac{1}{7}=\frac{(-3) \times 1}{4 \times 7}=\frac{-3}{28}$
View full question & answer→Question 71 Mark
What will be
$\frac{-6}{5} \times(-2)$ ?
Answer$\frac{-6}{5} \times(-2)=\frac{(-6) \times(-2)}{5}=\frac{12}{5}$
View full question & answer→Question 81 Mark
What will be
$\frac{-3}{5} \times 7$ ?
Answer$\frac{-3}{5} \times 7=\frac{-3 \times 7}{5}=\frac{-21}{5}$
View full question & answer→Question 91 Mark
What will be the additive inverse of
$\frac{5}{7}$ ?
AnswerThe additive inverse of $\frac{5}{7}=\frac{-5}{7}$
View full question & answer→Question 101 Mark
What will be the additive inverse of
$\frac{-9}{11}$ ?
AnswerThe additive inverse of $\frac{-9}{11}=-\left(\frac{-9}{11}\right)=\frac{9}{11}$
View full question & answer→Question 111 Mark
What will be the additive inverse of
$\frac{-3}{9}$ ?
AnswerThe additive inverse of $\frac{-3}{9}=-\left(\frac{-3}{9}\right)=\frac{3}{9}$
View full question & answer→Question 121 Mark
Find
$\frac{-5}{6}+\frac{-3}{11}$
View full question & answer→Question 131 Mark
Find
$\frac{19}{5}+\left(\frac{-7}{5}\right)$
Answer$\frac{19}{5}+\left(\frac{-7}{5}\right)=\frac{19+(-7)}{5}=\frac{19-7}{5}=\frac{12}{5}$
View full question & answer→Question 141 Mark
Find
$\frac{-13}{7}+\frac{6}{7}$
Answer$\frac{-13}{7}+\frac{6}{7}=\frac{-13+6}{7}=\frac{-7}{7}=-1$
View full question & answer→Question 151 Mark
Find the standard form of
$\frac{-12}{18}$
View full question & answer→Question 161 Mark
Which of these are negative rational numbers?
$\frac{-2}{-9}$
Answer$\frac{-2}{-9}$ is a positive rational number because $\frac{-2}{-9}$
$=\frac{-2 \times(-1)}{-9 \times(-1)}=\frac{2}{9}$ and $\frac{2}{9}$ is a positive rational number.
View full question & answer→Question 171 Mark
Which of these are negative rational numbers?
$\frac{6}{11}$
Answer$\frac{6}{11}$ is a positive rational number.
View full question & answer→Question 181 Mark
Which of these are negative rational numbers?
0
Answer0 (zero) is neither a positive nor a negative rational number.
View full question & answer→Question 191 Mark
Which of these are negative rational numbers?
$\frac{3}{-5}$
Answer$\frac{3}{-5}$ is a negative rational number because its denominator is negative.
View full question & answer→Question 201 Mark
Which of these are negative rational numbers?
$\frac{5}{7}$
Answer$\frac{5}{7}$ is a positive rational number.
View full question & answer→Question 211 Mark
Which of these are negative rational numbers?
$\frac{-2}{3}$
Answer$\frac{-2}{3}$ is a negative rational number because its numerator is negative.
View full question & answer→Question 221 Mark
List five more negative rational numbers.
AnswerThe five negative rational numbers are as follow.
$
\frac{-13}{22}, \frac{11}{-8}, \frac{-6}{25}, \frac{-31}{32} \text { and } \frac{5}{-13}
$
View full question & answer→Question 231 Mark
Is-8 a negative rational number?
AnswerYes, -8 or $\frac{-8}{1}$ is a negative rational number because its numerator is a negative integer.
View full question & answer→Question 241 Mark
List five more positive rational numbers.
AnswerThe five positive rational numbers are as follow.
$\frac{2}{5}, \frac{4}{7}, \frac{-3}{-4}, \frac{-15}{-19}$ and $\frac{13}{4}$
View full question & answer→Question 251 Mark
Is 5 a positive rational number?
AnswerYes, 5 can be written as $\frac{5}{1}$, where 5 and 1 both are positive.
So, 5 is a positive rational number.
View full question & answer→Question 261 Mark
Fill in the boxes.
$-\frac{3}{7}=\frac{\square}{14}=\frac{9}{\square}=\frac{-6}{\square}$
View full question & answer→Question 271 Mark
List ten rational numbers.
AnswerHere, ten rational numbers may be taken as follows.
$\frac{1}{3}, \frac{2}{5}, \frac{5}{9}, \frac{-6}{-11}, \frac{-3}{13}, \frac{3}{8},-\frac{3}{2},-\frac{4}{5}, \frac{11}{13}$ and $\frac{28}{51}$
View full question & answer→Question 281 Mark
Is the number $\frac{2}{-3}$ rational? Think about it.
AnswerYes, $\frac{2}{-3}$ is a rational number because 2 and -3 are integers and $-3 \neq 0$.
View full question & answer→Question 291 Mark
Find the value of :
$\frac{-2}{13}÷\frac{1}{7}$
View full question & answer→Question 301 Mark
Find the product.
$\frac{3}{-5} \times \frac{-5}{3}$
Answer$\frac{3}{-5} \times \frac{-5}{3}=\frac{3 \times(-5)}{(-5) \times 3}=\frac{-15}{-15}=1$
View full question & answer→Question 311 Mark
Find the product.
$\frac{3}{11} \times \frac{2}{5}$
Answer$\frac{3}{11} \times \frac{2}{5}=\frac{3 \times 2}{11 \times 5}=\frac{6}{55}$
View full question & answer→Question 321 Mark
Find the product.
$\frac{3}{7} \times\left(\frac{-2}{5}\right)$
Answer$\frac{3}{7} \times\left(\frac{-2}{5}\right)=\frac{3 \times(-2)}{7 \times 5}=\frac{-6}{35}$
View full question & answer→Question 331 Mark
Find the product.
$\frac{9}{2} \times\left(\frac{-7}{4}\right)$
Answer$\frac{9}{2} \times\left(\frac{-7}{4}\right)=\frac{9 \times(-7)}{2 \times 4}=\frac{-63}{8}$
View full question & answer→Question 341 Mark
Find
$-2 \frac{1}{9}-6$
View full question & answer→Question 351 Mark
Find
$\frac{-3}{8}-\frac{7}{11}$
View full question & answer→Question 361 Mark
Find
$\frac{-6}{13}-\left(\frac{-7}{15}\right)$
View full question & answer→Question 371 Mark
Find
$\frac{5}{63}-\left(\frac{-6}{21}\right)$
View full question & answer→Question 381 Mark
Find
$\frac{7}{24}-\frac{17}{36}$
View full question & answer→Question 391 Mark
Find the sum
$\frac{-2}{3}+0$
AnswerWe have, $\frac{-2}{3}+0=\frac{-2}{3}+\frac{0}{3}=\frac{-2+0}{3}=\frac{-2}{3}$
[we can take any number as denominator of 0]
View full question & answer→Question 401 Mark
Find the sum
$\frac{5}{4}+\left(\frac{-11}{4}\right)$
AnswerWe have,
$\frac{5}{4}+\left(\frac{-11}{4}\right)=\frac{5+(-11)}{4}=\frac{-6}{4}=\frac{-3}{2}$
[on dividing numerator and denominator by 2]
View full question & answer→Question 411 Mark
Fill in the boxes with the correct symbol out $>$, < and =.
$\frac{1}{-3}$ $\square$ $\frac{-1}{4}$
Answer$\frac{1}{-3}<\frac{-1}{4}$
View full question & answer→Question 421 Mark
Fill in the boxes with the correct symbol out $>$, < and =.
$\frac{-8}{5}$ $\square$ $\frac{-7}{4}$
Answer$\frac{-8}{5}>\frac{-7}{4}$
View full question & answer→Question 431 Mark
Rewrite the following rational numbers in the simplest form.
$\frac{-8}{10}$
View full question & answer→Question 441 Mark
Rewrite the following rational numbers in the simplest form.
$\frac{-44}{72}$
View full question & answer→Question 451 Mark
Which of the following pairs represent the same rational number?
$\frac{8}{-5}$ and $\frac{-24}{15}$
Answer$\frac{8}{-5}$ and $\frac{-24}{15}$ represent the same rational number.
View full question & answer→Question 461 Mark
Which of the following pairs represent the same rational number?
$\frac{-3}{5}$ and $\frac{-12}{20}$
Answer$\frac{-3}{5}$ and $\frac{-12}{20}$ represent the same rational number.
View full question & answer→Question 471 Mark
Give four rational numbers equivalent to
$\frac{4}{9}$
Answer$\frac{8}{18}, \frac{12}{27}, \frac{16}{36}$ and $\frac{20}{45}$
View full question & answer→Question 481 Mark
Give four rational numbers equivalent to
$\frac{5}{-3}$
Answer$\frac{10}{-6}, \frac{15}{-9}, \frac{20}{-12}$ and $\frac{25}{-15}$
View full question & answer→Question 491 Mark
Write four more rational numbers in each of the following patterns:
$\frac{-2}{3}, \frac{2}{-3}, \frac{4}{-6}, \frac{6}{-9}, \ldots$
Answer$\frac{8}{-12}, \frac{10}{-15}, \frac{12}{-18}$ and $\frac{14}{-21}$
View full question & answer→Question 501 Mark
Write four more rational numbers in each of the following patterns:
$\frac{-1}{6}, \frac{2}{-12}, \frac{3}{-18}, \frac{4}{-24}, \ldots$
Answer$\frac{5}{-30}, \frac{6}{-36}, \frac{7}{-42}$ and $\frac{8}{-48}$
View full question & answer→