How do you convert 2/9 into a decimal?

1 Answer
Alan P.
Oct 18, 2016

#2/9=0.222bar2#

Explanation:

#color(white)("XX")underline(" "0." "2" "2" " 2" " 2" " ....)#
#9 " ) "2." "0" "0" "0" "0#
#color(white)("XXX")underline(1" "8)#
#color(white)("XXXXXX")2#
#color(white)("XXXXXX")underline(1" "8)#
#color(white)("XXXXXXXXX")2#
#color(white)("XXXXXXXXX")underline(1" "8)#
#color(white)("XXXXXXXXXXXX")2#

We can see that this sequence will continue forever.

Note: the bar over the last #2# in #0.222bar2# implies that the #2# is repeated forever.

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