We have to convert decimals into p/q

 

We know that there are three types of decimal expansions

  1. Terminating
  2. Non-Terminating Repeating
  3. Non-Terminating Non-Repeating

 

For Terminating numbers,

Eg: 0.125

We just remove the decimal point, and divide by as many 0 as the number of digits after decimal

Since, 0.125 has 3 digits after decimal point, we remove the decimal point and divide by 1000

So, 0.125 = 125/1000

 

For Non-Terminating Repeating numbers

If we are given an expansion like

  0.2353535…….

How do we express it in p/q?

Let us look at an example

 

For Non-Terminating Non Repeating numbers

We know that Non-terminating, non-repeating numbers are irrational numbers.

And they cannot be expressed as p/q

  1. Chapter 1 Class 9 Number Systems
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
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