Download App

Maths 1 Mark Question

Rational Numbers · Maharashtra Board STD 7 (MSBSHSE - Semi English Medium). 82 questions.

Questions · Page 2 of 2

1 Mark Question

Question 511 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 521 Mark
Which of the following statements are true?
$\frac{-3}{5}$ lies to the left of 0 on the number line.
Answer
True.
Solution:
All negative numbers lie on the left of 0.
View full question & answer→
Question 531 Mark
Find four rational numbers equivalent to the following:
$\frac{6}{11}$
Answer
Equivalent 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 541 Mark
Write down the numerator and the denominator of the following rational numbers:
9
Answer
Numerator = 9, denominator = 1
View full question & answer→
Question 551 Mark
Fill in the blank with the correct symbol out of >, = and<.
$\frac{-3}{7}\ ......\ \frac{6}{-13}$
Answer
$\frac{-3}{7}>\frac{6}{-13}$Solution:
$\frac{6}{-13}=\frac{6\times(-1)}{-13\times(-1)}=\frac{-6}{13}$ (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 561 Mark
State whether the given statement is true or false:
The quotient of two integers is always a rational number.
Answer
False.
Solution:
As zero is a rational number but division of zero is meaningless.
View full question & answer→
Question 571 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 581 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 591 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 601 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 611 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 621 Mark
Fill in the blank with the correct symbol out of >, = and<.
$0\ ......\ \frac{-3}{-5}$
Answer
$0<\frac{-3}{-5}$Solution:
$\frac{-3}{-5}=\frac{-3\times(-1)}{-5\times(-1)}=\frac{3}{5}$ It is clear that $0<\frac{3}{5}$ $0<\frac{-3}{-5}$
View full question & answer→
Question 631 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 641 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 651 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 661 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 671 Mark
Fill in the blank:
$\Big(\frac{-3}{8}\Big)+(\dots)=\frac{5}{12}-\Big(\frac{-3}{8}\Big)$
Answer
$\Big(\frac{-3}{8}\Big)+\Big(\frac{19}{24}\Big)=\frac{5}{12}-\Big(\frac{-3}{8}\Big)$
Solution:
$\Big(\frac{-3}{8}\Big)+(\dots)=\frac{5}{12}-\Big(\frac{-3}{8}\Big)$
$(\dots)=\frac{5}{12}+\frac{3}{8}$
LCM of 12 and 8 is 24
$(\dots)=​​\frac{10+9}{24}$
$(\dots)=​​\frac{19}{24}$
View full question & answer→
Question 691 Mark
Fill in the blank with the correct symbol out of >, = and<.
$\frac{-2}{3}\ ......\ \frac{5}{-8}$
Answer
$\frac{-2}{3}<\frac{5}{-8}$Solution:
$\frac{5}{-8}=\frac{5\times(-1)}{-8\times(-1)}=\frac{-5}{8}$ 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 701 Mark
Find four rational numbers equivalent to the following:
$\frac{7}{-15}$
Answer
Equivalent 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 711 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 721 Mark
State whether the given statement is true or false:
Every rational number is a fraction.
Answer
False.
Solution:
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 731 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 741 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 751 Mark
Fill n the blank:
$\frac{9}{8}\div(\dots)=\frac{-3}{2}$
Answer
$\frac{9}{8}\div\Big(\frac{-3}{4}\Big)=\frac{-3}{2}$
Solution:
$\frac{9}{8}\div(\dots?\dots)=\frac{-3}{2}$
$\frac{9}{8}\div(\dots?\dots)=\frac{(-3)}{2}$
$(\dots?\dots)=\frac{9}{8}\times\frac{2}{(-3)}$
$(\dots?\dots)=\frac{-3}{4}$
View full question & answer→
Question 771 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.
Answer
True.
Solution:
All positive numbers lie on the right of 0 and all negative numbers on the left of 0.
View full question & answer→
Question 781 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 791 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{-8}{11}$
Answer
Numerator = -8, denominator = -11
View full question & answer→
Question 801 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 811 Mark
Fill in the blank:
$\Big(\frac{-65}{14}\Big)+(\dots)=2\frac{1}{2}$
Answer
$\Big(\frac{-65}{14}\Big)+\Big(\frac{14}{15}\Big)+2\frac{1}{2}$
Solution:
$\Big(\frac{-65}{14}\Big)+(\dots)=2\frac{1}{2}$
$=\frac{-65}{14}+\frac{5}{2}$
$=\frac{-65}{14}\times\frac{2}{5}$
$=\frac{-13}{7}$
View full question & answer→
Question 821 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→
Generate Paper FreeAll Rational Numbers topics