R s aggarwal solutions mathematics class 8 Solutions for Chapter 1 rational numbers

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}

Express each of the following rational numbers in the standard form

\frac{24}{-64}

Express each of the following rational numbers in the standard form

\frac{-36}{-63}

Which of the two rational numbers is greater in the given pair?

\frac{3}{8} \text { or } 0

Which of the two rational numbers is greater in the given pair?

\frac{-2}{9} \text { or } 0

Which of the two rational numbers is greater in the given pair?

\frac{-3}{4} \text { or } \frac{1}{4}

Which of the two rational numbers is greater in the given pair?

\frac{-5}{7} \text { or } \frac{-4}{7}

Which of the two rational numbers is greater in the given pair?

\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}

which of the two rational numbers is greater in the given pair?

\frac{7}{-9} \text { or } \frac{-5}{8}

which of the two rational numbers is greater in the given pair?

\frac{-1}{3} \text { or } \frac{4}{-5}

which of the two rational numbers is greater in the given pair?

\frac{9}{-13} \text { or } \frac{7}{-12}

which of the two rational numbers is greater in the given pair?

\frac{4}{-5} \text { or } \frac{-7}{10}

which of the two rational numbers is greater in the given pair?

\frac{-12}{5} \text { or }-3

Fill in the blanks with the correct symbol out of >, =, < :

\frac{-3}{7} \ldots \ldots \frac{6}{-13}

Fill in the blanks with the correct symbol out of >, =, < :

\frac{5}{-13} \cdot \ldots \ldots \frac{-35}{91}

Fill in the blanks with the correct symbol out of >, =, < :

-2 \ldots \ldots \frac{-13}{5}

Fill in the blanks with the correct symbol out of >, =, < :

\frac{-2}{3} \cdot \ldots . . \frac{5}{-8}

Fill in the blanks with the correct symbol out of >, =, < :

0 \ldots \ldots \frac{-3}{-5}

Fill in the blanks with the correct symbol out of >, =, < :

\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}

Arrange the following rational numbers in ascending order:

\frac{-3}{4}, \frac{5}{-12}, \frac{-7}{16}, \frac{9}{-24}

Arrange the following rational numbers in ascending order:

\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}

Arrange the following rational numbers in descending order:

\frac{-3}{10}, \frac{7}{-15}, \frac{-11}{20}, \frac{17}{-30}

Arrange the following rational numbers in descending order:

\frac{-5}{6}, \frac{-7}{12}, \frac{-13}{18}, \frac{23}{-24}

Arrange the following rational numbers in descending order:

\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}

Represent each of the following numbers on the number line:

2/7

Represent each of the following numbers on the number line:

1 ¾

Represent each of the following numbers on the number line:

-1 2/3

Represent each of the following numbers on the number line:

2 2/5

Represent each of the following numbers on the number line:

5 5/7

Represent each of the following numbers on the number line:

4 2/3

Represent each of the following numbers on the number line:

8

Represent each of the following numbers on the number line:

-1/3

Represent each of the following numbers on the number line:

-3/4

** **

Represent each of the following numbers on the number line:

-3 1/7

Which of the following statements are true or false?

\frac{-3}{5} Lies to the left of 0 on the number line.

Which of the following statements are true or false?

\frac{-12}{7} Lies to the right of 0 on the number line.

Which of the following statements are true or false?

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}

Add the following rational numbers:

\frac{5}{8}\text{ and }\frac{-7}{12}

Add the following rational numbers:

\frac{-5}{16}\text{ and }\frac{7}{24}

Add the following rational numbers:

2\text{ and }\frac{-5}{4}

Verify the following:

\frac{-12}{5}+\frac{2}{7}=\frac{2}{7}+\frac{-12}{5}

Verify the following:

3+\frac{-7}{12}=\frac{-7}{12}+3

Verify the following:

\frac{2}{-7}+\frac{12}{-35}=\frac{12}{-35}+\frac{2}{-7}

Add the following rational numbers:

\frac{-6}{11}\text{ and }\frac{-4}{11}

Add the following rational numbers:

\frac{-11}{8}\text{ and }\frac{5}{8}

Verify the following:

-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)

Add the following rational numbers:

\frac{5}{6}\text{ and }\frac{-1}{6}

Fill in the blanks:

-12+\left(\frac{7}{12}+\frac{-9}{11}\right)=\left(12+\frac{7}{12}\right)+(\ldots..)

Fill in the blanks:

\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{1}{3}

Find the additive inverse of each of the following:

\frac{23}{9}

Find the additive inverse of each of the following:

-18

Find the additive inverse of each of the following:

\frac{15}{-4}

Subtract:

\frac{3}{4}\text{ from }\frac{1}{3}

Subtract:

\frac{-18}{11}\text{ from }\frac{1}{1}

Subtract:

\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}

Using the rearrangement property find the sum:

\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

Represent each of the following numbers on the number line:

3 ½

Find each of the following products:

(-13/15) × (-25/26)

Find each of the following products:

(16/-21) × (14/5

Find each of the following products:

(-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))

Fill in the blanks:

(-23/17) × (18/35) = (18/35) × (….)

Fill in the blanks:

-38 × (-7/19) = (-7/19) × (…)

Verify the following:

\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

Find the multiplicative inverse (i.e. reciprocal) of:

-7/24

Find the multiplicative inverse (i.e. reciprocal) of:

(-3)/(-5)

Find the multiplicative inverse (i.e. reciprocal) of:

0/2

Find the multiplicative inverse (i.e. reciprocal) of:

-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)

Verify whether the given statement is true or false:

-8/9 ÷ -4/3 = -4/3 ÷ -8/9

Verify whether the given statement is true or false:

-7/24 ÷ 3/-16 = 3/-16 ÷ -7/24

Verify whether the given statement is true or false:

((-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

Find each of the following products:

(-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

OBJECTIVE QUESTIONS

Select the correct answer in each of the following:

(31/-4 + -5/8) =?

a) 67/8

b) 57/8

c) -57/8

d) -67/8

OBJECTIVE QUESTIONS

Select the correct answer in each of the following:

What should be added to 7/12 to get -4/15?

a) 17/20

b) -17/20

c) 7/20

d) -7/20

OBJECTIVE QUESTIONS

Select the correct answer in each of the following:

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

OBJECTIVE QUESTIONS

Select the correct answer in each of the following:

What should be subtracted from -5/3 to get 5/6?

a) 5/2

b) 3/2

c) 5/4

d) -5/2