1.999 (bar on 9) p/q form

1.	1.999 (bar on 9) p/q form
Answer» CORRECT QUESTION Express 1.999 in the form of p/q where q≠0 CORRECT SOLUTION Let x = 1.9999 ﹍﹍(Ⅰ) Then , 10 x = 19.9999 ﹍﹍(Ⅱ) Substracting EQUATION (Ⅰ) from (Ⅱ) 10x = 19.9999 x = 1.9999 ━━━━━━━━━ 9X = 18 ━━━━━━━━━ So , 9x = 18 x = 18/9 x = 2 ∴ x = 1.999﹍﹍ = 2 Now , we can represent 2 in p/q form as 2/1 ALSO q≠0 !

Answer»

CORRECT QUESTION

Express 1.999 in the form of p/q where q≠0

CORRECT SOLUTION

Let x = 1.9999 ﹍﹍(Ⅰ)

Then ,

10 x = 19.9999 ﹍﹍(Ⅱ)

Substracting EQUATION (Ⅰ) from (Ⅱ)

10x = 19.9999

x = 1.9999

━━━━━━━━━

9X = 18

━━━━━━━━━

So , 9x = 18

x = 18/9

x = 2

∴ x = 1.999﹍﹍ = 2

Now , we can represent 2 in p/q form as 2/1 ALSO q≠0 !

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1.999 (bar on 9) p/q form​