Arrange the following decimal numbers in ascending order, $3.6,3.06,3.306,0.306.$
A. 3.6, 3.306, 3.06, 0.306
B. 3.06, 0.306, 3.306, 3.6
C. 3.6, 3.06, 0.306, 3.306
D. 0.306, 3.06, 3.306, 3.6

Hint – We will write down all the options from A to D, and then we will compare them one by one to get the right order, which will give us the right answer.

Complete step-by-step answer:

Now, we will write down all the options and then turn by turn we will check which option is in the ascending order.
Given,
A. 3.6, 3.306, 3.06, 0.306
B. 3.06, 0.306, 3.306, 3.6
C. 3.6, 3.06, 0.306, 3.306
D. 0.306, 3.06, 3.306, 3.6

Taking option, A, which is
3.6, 3.306 ,3.06, 0.306
Now, we will denote them as 1, 2, 3, 4, so we can write
1 – 3.6
2 – 3.306
3 – 3.06
4 – 0.306
Now, we will start comparing 1 with 2,
In 1 first digit is 3 and in 2 first digit is also 3, then second digit in 1 is 6, which is after the decimal, and in 2 it is 3, as we know that 6 > 3, so the order is not correct, i.e., the numbers are not in ascending order.
Hence, option C is not the right answer.


Taking option B,
3.06, 0.306, 3.306, 3.6
Again, we will denote them as 1, 2, 3, 4, so we can write
1 – 3.06
2 – 0.306
3 – 3.306
4 – 3.6
Comparing 1 with 2,
In 1 first digit is 3 and in 2 the first digit is 0, as we know that 3 > 0, so the order is not correct.
Hence, option B is not the right answer.


Taking option C and denoting them as 1, 2, 3, 4, so we can write
1 - 3.6
2 - 3.06
3 - 0.306
4 - 3.306
Now, start comparing 1 and 2,
In 1 first digit is 3 and in 2 the first digit is also 3, then second digit in 1, which is after the decimal, is 6 and in 2 it is 0, as we know that 6 > 0, so the order is not correct.
Hence, option C is not the right answer.

Taking option D and denoting them as 1, 2, 3, 4, which can be written as,
1 – 0.306
2 – 3.06
3 – 3.306
4 – 3.3
Comparing 1 and 2,
In 1 first digit is 0 and in 2 the first digit is 3, as we know that 0 < 3, so the order is correct, i.e., the numbers are in ascending order.
Again comparing 2 and 3,
In 2 first digit is 3 and in 3 first digit is 3, then the second digit in 2, which is after the decimal, is 0 and in 3 it is 3, as we know that 0 < 3, so the order is correct, i.e., the numbers are in ascending order.
Comparing 3 and 4,
In 3 first digit is 3 and in 4 first digit is 3, then the second digit in 3, which is after the decimal, is 3 and in 4 it is 6, as we know that 3 > 6, so the order is correct, i.e., the numbers are in ascending order.

Note – Arranging numbers in ascending order means to arrange them from smallest to largest. These kinds of questions are not very difficult but while solving one should be focused because if you miss a little of it, you will not get the right answer to this question.