Q. 44.0( 314 Votes )

# Express 0.99999 &

Answer :

Let x = 0.99999......... ......(i)

multiply both sides by 10

10x = 9.9999...... ....(2)

subtract (1) from (2).

9 x = 9

As x = 9/9 or x = 1.

Therefore, on converting 0.99999.... in the p/q form, we get the answer as1. .

The difference between 1 and 0.999999 is o.000001 which is negligible.

Hence, 0.999 is too much near to 1. Therefore, 1 as an answer can be justified

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Number System Quiz- Tip to Toe46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

The number RS Aggarwal & V Aggarwal - Mathematics

The simplest formRS Aggarwal & V Aggarwal - Mathematics

<span lang="EN-INRD Sharma - Mathematics

28. The simplest RS Aggarwal & V Aggarwal - Mathematics

The simplest formRS Aggarwal & V Aggarwal - Mathematics

The simplest formRS Aggarwal & V Aggarwal - Mathematics

Express the folloNCERT Mathematics Exemplar

Express the folloNCERT Mathematics Exemplar

Express the folloNCERT Mathematics Exemplar