How do put these number in order from least to greatest 2.004 2.404 2.4 2.0004?

Answer 1

Starting from the left compare the numbers to find the smallest.

• All numbers begin with 2, which is no help.
• The next number in 2.004 and 2.0004 is 0, so these two are smaller, and for now 2.4 and 2.404 can be eliminated.

Now using only 2.004 and 2.0004, compare the numbers again, starting from the second decimal place:

• Both have a 0 as the second number after the decimal point which is no help.
• The third number after the decimal point on 2.0004 is 0 which is smaller than that of 2.004, which is 4. Therefore, 2.0004 is the smallest number in the list.
• We know that 2.004 is smaller than 2.4 and 2.404, so 2.004 is second in the list.

We now need to compare 2.4 and 2.404 to find the smallest. (Changing 2.4 to 2.400 makes this easier.

The third number after the decimal place is smallest on 2.400, making this number smaller than 2.404.

Therefore 2.004, 2.4, 2.404. and 2.0004 placed in order from smallest to greatest is:

2.0004 , 2.004 , 2.4 , 2.404.