Question

Which of the following number has terminating decimal representation (a) 3/7 (b) 3/5 (c) 1/3 (d) 3/11​

Answer 1

TERMINATING DECIMALS:

• TERMINATING DECIMAL IS A NO THAT ENDS AFTER A FINITE NUMBER OF DIGITS

WE CAN FIND THAT A NO HAS A TERMINATING DECIMAL BY DIVIDING [ P ] BY [Q].

SO ,

⟹ a) 3 /7 = 0.3121228

it doesn't end up to finite digits so it's not a terminating decimal.

b) end up to finite digits.= 0.6 it is terminating decimal.

c ) 1/3 is non terminating coz it don't ends..

d) 3/11 is non terminating..it continues till infinity.. it's terminator is 0.272