Question

Arrange the following decimals in ascending 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 $0,0,0,8,8,0$respectively. In ascending order they are $0,0,0,0,8,8$.

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.

Step 4: If the tenths digits are equal, compare the hundredths digits, and so on. We get the results. Hence, the given decimals in ascending order are $\therefore 0.008<0.08<0.8<0.88<8.08<8.8.$