Question

Identify the smallest decimals.

• A.
• B.

Answer 1

The correct option is A

Each given figure represents a whole.

Decimal number representation of the figures is done by observing how much part of the whole is filled.

In the first case, total number of boxes are $10\text{columns}\times 10\text{rows}=100$

Total number of filled boxes
$=10\times \text{Number of fully filled columns}$
$=10\times 5$
$=50\text{boxes}$

$\Rightarrow$ 50 out of 100 boxes are filled.
$\therefore$ Decimal representation $=\frac{\text{Number of filled boxes}}{\text{Total number of boxes}}$
$=\frac{50}{100}$
$=\frac{5}{10}$
$=0.5$

In the second case, total number of boxes $=10\times 1=10$
6 out of 10 boxes are filled.
Decimal representation $=\frac{6}{10}=0.6$

$0.5<0.6$

$\therefore$ The decimal represented by the first figure is small than the second one.