Decimal Number Comparison: Determining 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:

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

0.33 is divided by 100 because there are two digits after the decimal point, therefore:

$0.33=\frac{33}{100}$

Let's now compare the numbers in the denominator:

\frac{33}{100} > \frac{3}{10}

Therefore, the larger number is 0.33.