Question

Q2. Condition satisfied by q so that rational number in lowest form as pla
has a terminating decimal expansion.
a) Q = 3m x 2n; where mand n are
whole numbers
b) Q = 2m x 3n; where m and n are whole numbers
c) Q =3m x 5n; where m and n are whole numbers
d) None of these​

Answer 1

$\underline{\blue{Theorem:}}$

$Let \: Q \: be \: a \: rational \:number \: whose$

$decimal \: expansion \:terminates . Then \:Q$

$can \:be \: expressed \: in \:the \: form \:of \:\frac{p}{q},$

$where \:p \:and \: q \: are \: Coprime , and \:the$

$prime \: Factorisation \: of \: \pink{q} \: is \: of$

$the \:form \: \orange { 2^{n} 5^{m}} ,where$

$n, m \: are \: non - negative \:integers .$

Therefore.,

$Option \: \green { ( d ) } \: is \: correct.$

••••

Answer 2

Answer:

Option d is correct (none of these)