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Exercise:

Convert each of the following groups of unlike numbers to a common form and arrange them in descending order:

a) [tex]5.7, 7.81[/tex]

b) [tex]4[/tex]

c) [tex]22.03, 220.3[/tex]

d) [tex]5[/tex]

Example Solution:
To compare the whole number parts and decimal parts of [tex]1.5[/tex], [tex]6.8[/tex], [tex]6.7[/tex], and [tex]6.0[/tex], we get:
[tex]\[ 6.8 \ \textgreater \ 6.7 \ \textgreater \ 6.0 \ \textgreater \ 1.5 \][/tex]

Also, comparing [tex]3.3[/tex] and [tex]3.5[/tex], we get:
[tex]\[ 3.5 \ \textgreater \ 3.3 \][/tex]

Thus, the required descending order is:
[tex]\[ 28.1, 6.8, 6.7, 6.0, 3.5, 3.3, 1.5 \][/tex]



Answer :

GinnyAnswer
Sure, let's analyze and sort each group of numbers you provided in descending order, just as you requested. Here are each of the groups and the step-by-step solution for arranging them:

### Group (a): [tex]\([5.7, 7.81]\)[/tex]

1. Compare the numbers 5.7 and 7.81.
2. Since 7.81 is greater than 5.7, the descending order is [tex]\(7.81, 5.7\)[/tex].

Result for Group (a): [tex]\([7.81, 5.7]\)[/tex]

### Group (b): [tex]\([4]\)[/tex]

1. There is only one number in this group, so there is no need for sorting.

Result for Group (b): [tex]\([4]\)[/tex]

### Group (c): [tex]\([22.03, 220.3]\)[/tex]

1. Compare the numbers 22.03 and 220.3.
2. Since 220.3 is greater than 22.03, the descending order is [tex]\(220.3, 22.03\)[/tex].

Result for Group (c): [tex]\([220.3, 22.03]\)[/tex]

### Group (d): [tex]\([5]\)[/tex]

1. There is only one number in this group, so there is no need for sorting.

Result for Group (d): [tex]\([5]\)[/tex]

### Final Result

Combining the results for each group, we get:

[tex]\[ ([7.81, 5.7], [4], [220.3, 22.03], [5]) \][/tex]

This completes our task of sorting the numbers in descending order for each group.