To arrange the given numbers in ascending order of size, you should compare each number to determine which is smaller and which is larger. Here are the steps you can follow:
1. Start with the given list of numbers: [tex]\(-0.5021, 5.0102, -5.0201, 0.5012, 5.0201, -0.5201\)[/tex].
2. Identify the smallest number in the list. In this case, the smallest number is [tex]\(-5.0201\)[/tex].
3. Next, find the second smallest number. Comparing the remaining numbers, [tex]\(-0.5201\)[/tex] is smaller than the others.
4. Continue by identifying the next smallest number. Between the remaining numbers, [tex]\(-0.5021\)[/tex] is the smallest.
5. Now, find the smallest of the remaining positive numbers. [tex]\(0.5012\)[/tex] is the smallest among them.
6. Finally, compare the last two remaining numbers, [tex]\(5.0102\)[/tex] and [tex]\(5.0201\)[/tex], and arrange them. [tex]\(5.0102\)[/tex] is smaller than [tex]\(5.0201\)[/tex].
Let's compile the correct order:
[tex]\[
-5.0201, -0.5201, -0.5021, 0.5012, 5.0102, 5.0201
\][/tex]
Hence, the numbers in ascending order are:
[tex]\[
-5.0201, -0.5201, -0.5021, 0.5012, 5.0102, 5.0201
\][/tex]
