Recurring Decimals

Algebra Level 2

True or false :

9. 9 ‾ = 10 9.\overline{9}=10

None of the above False True

Isaac Wright by Isaac Wright , 18, United Kingdom

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1 solution

Isaac Wright
Jan 11, 2016

x = 9. 9 ˙ x=9.\dot{9} ⇒ 10 x = 99. 9 ˙ \Rightarrow10x=99.\dot{9}

⇒ 9 x = 90 \Rightarrow9x=90

9 x 9 = x \frac{9x}{9}=x a n d and 90 9 = 10 \frac{90}{9}=10 ⇒ x = 9. 9 ˙ = 10 \boxed{\Rightarrow{x=9.\dot{9}=10}}

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