Sneha writes: 'Since 0.999... is a non-terminating decimal, it cannot equal a whole number.' Using the rule 0.ddd... = d/9, evaluate 0.999... and decide whether Sneha is right.

Question

Accepted Answer

She is wrong; 0.999... = 9/9 = 1. 0.999... = 9/9 = 1. A recurring decimal can equal a whole number, so Sneha is wrong.

Sneha writes: 'Since 0.999... is a non-terminating decimal, it cannot equal a whole number.'
Using the rule $0. ddd ... = \frac{d}{9}$ , evaluate 0.999... and decide whether Sneha is right.

Step-by-Step Solution

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More Class 10 Decimal Expansions practice

Sneha writes: 'Since 0.999... is a non-terminating decimal, it cannot equal a whole number.'Using the rule 0.ddd...=9d​, evaluate 0.999... and decide whether Sneha is right.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Decimal Expansions practice

Sneha writes: 'Since 0.999... is a non-terminating decimal, it cannot equal a whole number.'
Using the rule $0. ddd ... = \frac{d}{9}$ , evaluate 0.999... and decide whether Sneha is right.