College

Order this set of integers from least to greatest:

Set: [tex]93, -76, 102, -101, 83, -48[/tex]

Options:
A. [tex]93, -76, 102, -101, 83, -48[/tex]
B. [tex]-48, -76, 83, 93, -101, 102[/tex]
C. [tex]102, 93, 83, -48, -76, -101[/tex]
D. [tex]-101, -76, -48, 83, 93, 102[/tex]

Answer :

Certainly! Let's arrange the given set of integers in order from the smallest to the largest:

We have these integers: 93, -76, 102, -101, 83, -48.

1. Identify the negative numbers:
Negative numbers are less than zero, so they are typically smaller than positive numbers. In our list, the negative numbers are -76, -101, and -48.

2. Order the negative numbers from least to greatest:
- Among the negative numbers, -101 is the smallest because it's further from zero than -76 and -48.
- Next is -76.
- Then -48, which is closer to zero, so it's larger compared to the other two negative numbers.

3. Identify the positive numbers:
The positive numbers here are 93, 102, and 83.

4. Order the positive numbers from least to greatest:
- Among these, 83 is the smallest.
- Next comes 93.
- The largest of these is 102.

5. Combine the ordered negative and positive numbers:
By combining the ordered negative and positive numbers, we have the final ordered list:

-101, -76, -48, 83, 93, 102.

Thus, when you order the set of integers from least to greatest, the result is: -101, -76, -48, 83, 93, 102.