Question

Rewrite each of the following in the decreasing order of number:

$19999,19009,19000,19909,19990$.

Answer 1

Find the decreasing order:

Rule 1: A numeral containing more digits represents a greater number

Rule 2: If the two numerals contain the same number of digits, we compare them by their left most digit. If the left most digits are also same, we compare them by their next digits from the left, and so on.

In this question all the numerals have same number of digits, also the two left most digits of all the numbers are same.

Now we compare third left most digits of the numbers, we get

$9>0$

$\Rightarrow$$19999,19990,19909>19009,19000$

Now we compare $19999,19990,19909$ though the first three left most digits are same, we get-

$9>0$

$\Rightarrow$$19999>19990>19909$ …………(i)

Now we compare $19009$ and $19000$ all the digits are same except the last one so we compare the last digit, we get-

$9>0$

$19009>19000$ …………(ii)

By combining (i) and (ii), we get

$19999>19990>19909>19009>19000$

Thus, the decreasing order is $19999>19990>19909>19009>19000$.