Question

what is the value of 0.123

Answer 1

Answer:

As there are 3 digits under bar, multiply by 1000 on both sides, 1000 × x = 1000 × 0. 1000x = 123

Answer 2

Answer:

As there are 3 digits under bar, multiply by 1000 on both sides,

1000 × x = 1000 × 0.\bar{123}

123

ˉ

1000x = 123.\bar{123}

123

ˉ

Now, subtract x from both sides,

1000x = 123.\bar{123}

123

ˉ

- x = - 0.\bar{123}

123

ˉ

_______________________

999x = 123 { bar cancel }

_______________________

x = 123 / 999

x = 41 / 333

From ( 1 ), x = 0.\bar{123}

123

ˉ

0.\bar{123} =\dfrac{41}{333}

123

ˉ

=

333

41