Compare the digits in each place from left to right.
Start with the thousands place.

The digits in the thousands place are equal, so compare the digits in the hundreds place.

The digits in the hundreds place are equal, so compare the digits in the tens place.

The digits in the tens place are equal, so compare the digits in the ones place.

Since 2 < 3, 2,242 < 2,243.

First, compare the digits in the thousands place of each number.
The numbers all have a 4 in the thousands place, so compare the digits in the hundreds place of each number.

Since 1 < 6, 4,186 and 4,168 are less than 4,618 and 4,681.

Next, compare the digits in the tens places of 4,186 and 4,168.

Since 6 < 8, 4,168 < 4,186.

Then, compare the digits in the tens places of 4,618 and 4,681.

Since 1 < 8, 4,618 < 4,681.

So, the numbers in order from least to greatest are
4,168, 4,186, 4,618, 4,681, and the numbers in order from greatest to least are 4,681, 4,618, 4,186, 4,168.