Express \frac{-3}{5} as a rational number whose denominators are:
i. 20
Express\frac{-3}{5} as a rational number whose denominators are: -30
express \frac{-42}{98} as a rational number whose denominator is 7
Express \frac{-48}{60} as a rational number whose denominator is 5
Express \frac{-3}{5} as a rational number whose denominators are: 35
Express\frac{-3}{5} as a rational number whose denominators are: -40
express each of the following rational numbers in the standard form
\frac{-12}{30}
Express each of the following rational numbers in the standard form
\frac{-14}{49}
\frac{24}{-64}
\frac{-36}{-63}
Which of the two rational numbers is greater in the given pair?
\frac{3}{8} \text { or } 0
\frac{-2}{9} \text { or } 0
\frac{-3}{4} \text { or } \frac{1}{4}
\frac{-5}{7} \text { or } \frac{-4}{7}
\frac{2}{3} \text { or } \frac{3}{4}
Which of the two rational numbers is greater in the given pair? \frac{-1}{2} \text { or }-1
which of the two rational numbers is greater in the given pair?
\frac{-4}{3} \text { or } \frac{-8}{7}
\frac{7}{-9} \text { or } \frac{-5}{8}
\frac{-1}{3} \text { or } \frac{4}{-5}
\frac{9}{-13} \text { or } \frac{7}{-12}
\frac{4}{-5} \text { or } \frac{-7}{10}
\frac{-12}{5} \text { or }-3
Fill in the blanks with the correct symbol out of >, =, < :
\frac{-3}{7} \ldots \ldots \frac{6}{-13}
\frac{5}{-13} \cdot \ldots \ldots \frac{-35}{91}
-2 \ldots \ldots \frac{-13}{5}
\frac{-2}{3} \cdot \ldots . . \frac{5}{-8}
0 \ldots \ldots \frac{-3}{-5}
\frac{-8}{9} \ldots \ldots \frac{-9}{10}
Arrange the following rational numbers in ascending order:
\frac{4}{-9}, \frac{-5}{12}, \frac{7}{-18}, \frac{-2}{3}
\frac{-3}{4}, \frac{5}{-12}, \frac{-7}{16}, \frac{9}{-24}
\frac{3}{-5}, \frac{-7}{10}, \frac{-11}{15}, \frac{-13}{20}
Arrange the following rational numbers in descending order:
-2, \frac{-13}{6}, \frac{8}{-3}, \frac{1}{3}
\frac{-3}{10}, \frac{7}{-15}, \frac{-11}{20}, \frac{17}{-30}
\frac{-5}{6}, \frac{-7}{12}, \frac{-13}{18}, \frac{23}{-24}
\frac{-10}{11}, \frac{-19}{22}, \frac{-23}{33}, \frac{-39}{44}
Which of the following statements are true or false?
i. Every whole number is a rational number.
ii. Every integer is a rational number.
iii. 0 is a whole number but it is not a rational number.
Represent each of the following numbers on the number line:
\frac{1}{3}
2/7
1 ¾
-1 2/3
2 2/5
5 5/7
4 2/3
8
-1/3
-3/4
** **
-3 1/7
\frac{-3}{5} Lies to the left of 0 on the number line.
\frac{-12}{7} Lies to the right of 0 on the number line.
The rational numbers \frac{1}{3} and \frac{-5}{2} are on opposite sides of 0 on the number line.
Add the following rational numbers:
\frac{-17}{15}\text{ and }\frac{-1}{15}
\frac{5}{8}\text{ and }\frac{-7}{12}
\frac{-5}{16}\text{ and }\frac{7}{24}
2\text{ and }\frac{-5}{4}
Verify the following:
\frac{-12}{5}+\frac{2}{7}=\frac{2}{7}+\frac{-12}{5}
3+\frac{-7}{12}=\frac{-7}{12}+3
\frac{2}{-7}+\frac{12}{-35}=\frac{12}{-35}+\frac{2}{-7}
\frac{-6}{11}\text{ and }\frac{-4}{11}
\frac{-11}{8}\text{ and }\frac{5}{8}
-1+\left(\frac{-2}{3}+\frac{-3}{4}\right)=\left(-1+\frac{-2}{3}\right)+\frac{-3}{4}
Fill in the blanks:
-9+\frac{-21}{8}=(\ldots)+(-9)
\frac{5}{6}\text{ and }\frac{-1}{6}
-12+\left(\frac{7}{12}+\frac{-9}{11}\right)=\left(12+\frac{7}{12}\right)+(\ldots..)
\frac{19}{-5}+\left(\frac{-3}{11}+\frac{-7}{8}\right)=\left\{\frac{19}{-5}+(\ldots,.)\right\}+\frac{-7}{8}
Find the additive inverse of each of the following:
\frac{23}{9}
-18
\frac{15}{-4}
Subtract:
\frac{3}{4}\text{ from }\frac{1}{3}
\frac{-18}{11}\text{ from }\frac{1}{1}
\frac{-32}{13}\text{ from }\frac{-6}{5}
Using the rearrangement property find the sum:
\frac{-13}{20}+\frac{11}{14}+\frac{-5}{7}+\frac{7}{10}
\frac{-6}{7}+\frac{-5}{6}+\frac{-4}{9}+\frac{-15}{7}
The sum of two rational numbers is \frac{-1}{2} . If one the number is \frac{5}{6} find the other.
What number should be added to -1 so as to get \frac{5}{7}?
Is the difference between two rational numbers a rational number?
Is addition commutative on rational numbers?
Is subtraction associative on rational numbers?
What is the negative of a negative rational number?
Find each of the following products:
-9/2 × 5/4
3 ½
(-13/15) × (-25/26)
(16/-21) × (14/5
(-13/5) / (-10)
verify each of the following:
(-12/5) × (7/-36) = (7/-36) × (-12/5)
Verify each of the following:
((-9/5) × (-10/3)) × (21/-4) = (-9/5) × ((-10/3) × (21/-4))
(-23/17) × (18/35) = (18/35) × (….)
-38 × (-7/19) = (-7/19) × (…)
\left(\frac{-7}{11}+\frac{2}{-5}\right)+\frac{-13}{22}=\frac{-7}{11}+\left(\frac{2}{-5}+\frac{-13}{22}\right)
Find the multiplicative inverse (i.e. reciprocal) of:
-17/12
-7/24
(-3)/(-5)
0/2
-1/8
The sum of two rational numbers is -2. If one of the numbers is \frac{-14}{5} , find the other.
Simplify: -1/10 ÷ -8/5
Verify whether the given statement is true or false:
-9 ÷ 3/4 = 3/4 ÷ (-9)
-8/9 ÷ -4/3 = -4/3 ÷ -8/9
-7/24 ÷ 3/-16 = 3/-16 ÷ -7/24
((-16) ÷ 6/5) ÷ -9/10 = (-16) ÷ (6/5 ÷ -9/10)
Verify whether the given statement is true or false: (-3/5 ÷ -12/35) ÷ 1/14 = -3/5 ÷ (-12/35 ÷ 1/14)
The product of two rational numbers is -9. If one of the numbers is -12, find the other.
Find the rational number between 2 and 3
(-2/3) × (6/7)
Find the cost of 3 2/5meters of cloth at ₹66 ¾ per meter
Find the area of a rectangular park which is 36 3/5m long and 16 2/3m broad.
Find the area of a square plot of land whose each side measures 8 ½ meters.
One liter of petrol costs ₹63 ¾. What is the cost 34 liters of petrol?
An airplane covers 1020km in an hour. How much distance will it cover in 4 1/6hours?
OBJECTIVE QUESTIONS
Select the correct answer in each of the following:
(3 + 5/-7) =?
a) -16/7
b) 16/7
c) -26/7
d) -8/7
(31/-4 + -5/8) =?
a) 67/8
b) 57/8
c) -57/8
d) -67/8
What should be added to 7/12 to get -4/15?
a) 17/20
b) -17/20
c) 7/20
d) -7/20
The sum of two numbers is -4/3. If one of the numbers is -5, what is the other?
a) -11/3
b) 11/3
c) -19/3
d) 19/3
What should be subtracted from -5/3 to get 5/6?
a) 5/2
b) 3/2
c) 5/4
d) -5/2