First, we arrange the given numbers in columns in the place value chart.
To compare the numbers, we start at the ones place.
The greater the digit in the ones place, the greater is the number.
Since 1 is greater than 0, 1.5 is greater than 0.23, 0.3, and 0.25.
∴ The greatest number is 1.5.
To compare the other three numbers, we look at the tenths place.
The greater the digit in the tenths place, the greater is the number.
Since 3 is greater than 2, 0.3 is greater than 0.23 and 0.25.
∴ The next greatest number is 0.3.
Now, to compare 0.23 and 0.25, we look at the hundredths place.
The greater the digit in the hundredths place, the greater is the number.
Since 5 is greater than 3, 0.25 is greater than 0.23.
∴ The next greatest number is 0.25.
⟹ The smallest number is 0.23.
∴ Ascending order:
0.23<0.25<0.3<1.5