Question

Arrange the following decimals in descending order:

$0.8,0.008,0.08,8.8,8.08,0.88.$

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$0.800,0.008,0.080,8.800,8.080,0.880$.

Step 2: Compare the whole number parts. The decimal with greater whole number is greater. Here, the whole numbers are $0,0,0,8,8,0$ In descending order they are $8,8,0,0,0,0$. So, the decimal with $8$ 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 $8.8>8.08>0.88>0.8>0.08>0.008.$.