Decimal Number Comparison: Identifying the Greater Value

Let's first convert the decimal numbers into simple fractions and compare them:

0.3 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.3=\frac{3}{10}$

0.5 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.5=\frac{5}{10}$

Let's now compare the numbers in the denominator:

\frac{5}{10}>\frac{3}{10}

Therefore, the larger number is 0.5.