What type of decimal expansion is 0.9999...? | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The decimal expansion $0.9999...$ can be written as $0.\bar{9}$.
Since the digit $9$ repeats infinitely after the decimal point,it is a non-termi

Vedclass · Accepted Answer

Non-terminating repeating

Vedclass · Answer

(B) The decimal expansion $0.9999...$ can be written as $0.\bar{9}$.
Since the digit $9$ repeats infinitely after the decimal point,it is a non-terminating repeating decimal expansion.
Furthermore,$0.9999... = 1$,which is a rational number,and all rational numbers have either terminating or non-terminating repeating decimal expansions.

What type of decimal expansion is $0.9999...$? (Terminating,Non-terminating repeating,Non-terminating non-repeating)

Similar Questions

The product of two consecutive positive integers is always divisible by which of the following?

The largest $4$-digit integer divisible by $95$ is . . . . . . .

Express the number $5005$ as a product of its prime factors.

Find the Least Common Multiple $(LCM)$ of $6$,$72$,and $120$.

The difference between the $HCF$ and $LCM$ of two prime numbers $7$ and $11$ is . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module