Question

Find, whether the given division
forms a terminating decimal or a
non-terminating decimal:
viii. $0.56÷0.11$

Answer 1

Step: Perform long division and
identify the type of decimal

Given: $0.56÷0.11$

$\Rightarrow 0.56÷11=\frac{0.56\times 100}{0.11\times 100}=\frac{56}{11}$

$\Rightarrow 0.56÷0.11=\frac{0.56\times 100}{0.11\times 100}=\frac{56}{11}=5.0909\dots$

$\therefore$ It is a non-terminating decimal.