Question

Arrange the following decimals in to ascending order:

$0.6,0.06,0.066,6.06,0.66,6.60$.

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 $0.600,0.060,0.066,6.060,0.660,6.600$.

Step 2: Compare the whole number parts. The decimal with greater whole number is greater. Here, the whole numbers are $0,0,0,6,0,6$ respectively. In ascending order they are $0,0,0,0,6,6$.

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.

$\therefore 0.06<0.066<0.6<0.66<6.06<6.60.$