Question

write the following rational numbers in their decimal form and state which are terminating and which are non terminating repeating decimal
$229 \div 400 \\ 21 \div 5 \\ 2 \div 11 \\ 8 \div 125$


2 power n and 5 power m​

Answer 1

Answer:

$229 \div 400 = 0.5725 \\ \: it \: is \: a \: non \: terminating \: decimal \: number \\ 21 \div 5 = 4.2 \\ it \: is \: also \: a \: non \: terminating \: decimal \\ 2 \div 11 = 0.18 18181818 \\ it \: is \: a \: terminating \: decimal \\ 8 \div 125 = 0.064 \\ it \: is \: a \: non \: terminating \: decimal$

since,400,125 can be written in the form 2n and 5m .so,it is a non terminating decimal.

and,5is a real number so,it is a non terminating decimal.

and,11cannot be written in the form of 2n and 5m . so,it is a terminating decimal