Question

without doing actual division , find which of the following rational numbers have terminating decimal representation: 23/125 ​

Answer 1

Answer:

=23/125

=23/5³

NOW TO MAKE DENOMINATOR MULTIPLE OF 10 WE WOULD HAVE TO MULTIPLY THE DENOMINATOR BY 2³.

=23/5³×2³

=23/10^6

=0.000023

THEREFORE IT CONCLUDES THAT IT HAS TERMINATING DECIMAL REPRESENTATION.