Question

25 Write the given rational number in decimal form 99​

Answer 1

Answer:

To convert a decimal into rational number, follow these steps :

Step-1: Obtain the repeating decimal and pur it equal to x (say)

Step-2: Write the number in decimal form by removing bar from the top of repeating digits and listing repeating digits at least twice. For sample, write x = 0.8¯¯¯¯¯ as x = 0.888…. and x = 0.14¯¯¯¯¯ as x = 0.141414……

Step-3: Determine the number of digits having bar on their heads.

Step-4: If the repeating decimal has 1 place repetition, multiply by 10; a two place repetition, multiply by 100; a three place repetition, multiply by 1000 and so on.

Step-5: Subtract the number in step 2 from the number obtained in step 4

Step-6: Divide both sides of the equation by the coefficient of x.

Step-7: Write the rational number in its simplest form