Question

Arrange the following in descending order:

$82416,84126,86142,82641$

Answer 1

Comparison of two numbers:

1. When the number of digits are different: greater the number of digits, greater the number.
2. When the number of digits are same: start by comparing the digits from left. If the first digit from left is same, proceed to the next digit and compare them. If the second digit is also same, compare the next digit. Repeat the process till you get different digits and compare them.

Here, the first digit of all numbers are same. So, comparing the next digit. So, $6>4>2$.

In $82416$ and $82641$, first two digits are same. So, comparing the next digit, we get: $6>4$.

Thus, $86142>84126>82641>82416$ is the required order.