College

Order the following numbers in descending order:

[tex]\[ -100, -25, 13, 46, -46, 86, 36, -54, 60, -50, -88 \][/tex]

Solution:

[tex]\[ 86, 60, 46, 36, 13, -25, -46, -50, -54, -88, -100 \][/tex]

Answer :

Sure, let's sort the given list of numbers in descending order step by step:

The given list of numbers is:
[tex]\[ -100, -25, 13, 46, -46, 86, 36, -54, 60, -50, -88 \][/tex]

To sort these numbers in descending order, we start by comparing the values and arranging them from the largest to the smallest.

1. We identify the largest number in the list, which is [tex]\( \mathbf{86} \)[/tex].
2. Removing [tex]\( 86 \)[/tex] from the list, we find the next largest number, which is [tex]\( \mathbf{60} \)[/tex].
3. Continuing this process, the next largest numbers in order are [tex]\( \mathbf{46} \)[/tex], [tex]\( \mathbf{36} \)[/tex], and [tex]\( \mathbf{13} \)[/tex].
4. Once we have arranged all positive numbers, we start adding in the negative numbers from the largest (least negative) to the smallest (most negative).

By following the sorting process, the full ordered list in descending order is:
[tex]\[ 86, 60, 46, 36, 13, -25, -46, -50, -54, -88, -100 \][/tex]

So, when arranged in descending order, the numbers are:
[tex]\[ 86, 60, 46, 36, 13, -25, -46, -50, -54, -88, -100 \][/tex]

This is the final sorted list of numbers in descending order.