Question

Arrange the following decimals in descending order:

$3.3,0.03,0.3,0.003,3.33,33.3$

Answer 1

Step 1: First make the number of digits after the decimal point equal by putting zeroes to the extreme right side of the decimal part, if required. The like decimals are $3.300,0.030,0.300,0.003,3.330,33.300$.

Step 2: Compare the whole number parts. The decimal with greater whole number is greater. Here, the whole numbers are $3,0,0,0,3,33$. In descending order they are $33,3,3,0,0,0$. So, the decimal with $33$ as whole number is the largest.

Step 3: If the whole number parts are equal, compare the tenths digits. The decimal with the bigger digit in the tenths place is greater. Comparing tenths digits.

Step 4: If the tenths digits are equal, compare the hundredths digits, and so on. Comparing hundredths digits.

Hence, the given decimals in descending order are $33.3>3.33>3.3>0,3>0.03>0.003.$.