Question

Find the nine rational numbers between $0$ and $1$.

• A. $0.1,0.2,0.3,...,0.9$
• B. $1.1,0.2,10.3,...,0.9$
• C. $0.1,0.2,0.3,...,20.9$
• D. $0.1,0.2,10.3,...,0.9$

Answer 1

The correct option is A $0.1,0.2,0.3,...,0.9$

$0<(0+0.1)=0.1<(0.1+0.1)=0.2<(0.2+0.1)=0.3<...<(0.8+1)=0.9<(0.9+0.1)=1$
$0<0.1<0.2<0.3<...<0.9<1$

$\therefore$ The nine rational numbers between $0$ and $1$ are

$0.1,0.2,0.3,...,0.9$