Question

the value of 0.0505...... in the the form P/q where p and q are integer &q not equal to 0

Answer 1

To find :

• we need to show 0.0505....in the form of p/q where p and q are integer &q not equal to 0.

Solution :

${ \blue{ \mathscr{ \underline{Let : - }}}}$

x = 0.0505.... ⠀⠀⠀⠀1)

• Multiplying equation (1) By 100

100x = 5 .0505.... ⠀⠀⠀⠀2)

Now,

• Subtracting equation (1) from (2)

we get,

››➔ 9x = 5

• We need to find the value of x

››➔ x = 9/5

As we know that x = 0.0505 ....

Hence,

• Value of 0.0505.... in the form of p/q is 9/5.

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Rational numbers :-

Rational numbers are the numbers which can be shown in the form of p/q, where p and q are intigers and q is not equal to 0.

Example :-

• 2/3 , -5/7, 10/9 ....etc.