Again A Function

Algebra Level 3

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[] denotes gif

6 5 Doesn't exist None of these

Prakash Chandra Rai by Prakash Chandra Rai , 24, India

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2 solutions

Heet Bhimani
Dec 29, 2014

It is 11sci sem 1 que.

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5.9(bar) is decimal representation of 6.

Another way you can think that there is no real number between 5.9(bar) and 6.(WHY?). That's why 5.9(bar) and 6 is considered equivalent in mathematical language.

What is decimal representation? Expressing a rational number in decimal format is known as decimal representation. You can think that decimal representation of 1/3 is 0.3(bar).

Note: All the information given above applies only to base 10 numbers.

For more information see:

http://en.wikipedia.org/wiki/Repeating_decimal

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Let x = 0. 9 ˉ x=0.\bar{9}

10 x = 9. 9 ˉ 10x=9.\bar{9}

10 x − x = 9. 9 ˉ − 0. 9 ˉ 10x-x=9.\bar{9}-0.\bar{9}

9 x = 9 9x=9

x = 1 x=1

0. 9 ˉ = 1 0.\bar{9}=1

5. 9 ˉ = 6 \boxed{5.\bar{9}=6}

Omkar Kulkarni - 6 years, 5 months ago

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