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Question 2

Multiply by the reciprocal of .

Solution:


Question 3

Write five rational numbers greater than - 5 with common denominators.

Solution:

- 5 is same as

Consider a rational number between

Which is

To make denominator as 5 divide both the numerator & denominator by 2.

we get is a rational number between

i.e.,

Between

i.e., between - 5 & - 2 we have - 4

From (1) & (2)

Five rational numbers that are greater than - 5 are



Question 4

Write an equivalent rational number for each of the following rational numbers. Fill in the blanks shown below with the corresponding letter found below each answer. What you will find is the name of a famous author of children’s books who was born almost a hundred years ago.

 

         

        

___ ___ ___ ___ ___ ___ ___ ___ ___ ___

                               


Solution:


_E_ N I D B _ L _ _ Y _ T _ _ O _N



Question 5

Write four rational numbers between

 

Solution:
The two numbers are .

Make the denominators same for the given rational number

The mean of =

The mean of =

The mean of =

The mean of =

Any four rational numbers between are



Question 6

What must be added to

Solution:

Let the number to be added = y.

The number to be added

Question 7

What must be subtracted from

Solution:
Let the number to be subtracted = y.


The number to be subtracted is



Question 8

Write a rational number equivalent to with

(i) numerator 20
(ii) denominator 28

 

Solution:



Question 9

Write the following numbers in descending order:

Solution:

Find the LCM of 3,6,9,27,12 and 3.

Since LCM is 108, equivalent fraction with denominators 108 is found out for all the above fractions.

Descending order is

Question 10

Compare the following pairs of rational numbers.

Solution:

Question 11

Find the missing entries in the following table:

Fraction in Standard form

Numerator

Denominator

Sign of the rational number

1.

______

24

______

2.

84

_____

Positive

3. ____

- 5

- 8

______

4.

______

- 142

Negative


Solution:

Fraction in Standard form

Numerator

Denominator

Sign of the rational number

1.

- 9

24

negative

2.

84

98

Positive

3.

- 5

- 8

Positive

4.

42

- 142

Negative



Question 12

State whether each of the following is true or false. Correct the statements which are false

 

1.

2. If then is positive


Solution:

1.

Negative numbers are always lesser than 0.

2. If then is positive - True

Question 13

Represent the following numbers on the number line

 

Solution:





Question 14

Represent on the number line

Solution:


Question 15

Represent 4 rational numbers between .

Solution:

We find the mean of the given rational number.

Mean is

Now find another rational number between

For this again we find the mean of

Mean is

Now find the Mean of

We have

Thus we get

Now find the mean of

We have,

Thus we get



Question 16

A Dutch mathematician and engineer first wrote fractional numbers in the form we now use. To find his name, match each rational number or mixed number with its equivalent in the simplest form. Then write the corresponding letter in the space provided.

 

T

S

I

O

S

M

V

N

N

I

E


Solution:

T

S

I

O

S

M

V

N

N

I

E


The name of the Dutch Mathematician is SIMON STEVIN





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