Which set of integers are in the right order from least to greatest?

1. |–10|, –3, 2, 7
2. 7, |–10|, –3, 2
3. 2, –3, 7, |–10|
4. –3, 2, 7, |–10|****

Explain 2 possible ways you would solve this problem

Can a tutor explain 1 way they would solve it?

So first I would see if any negative numbers are to the left. Then I would see fit that all positive integers are in ascending order. After that i would make sure to convert every number with an absolute value to a positive integer and place it in the sequence accordingly.

(You can copy and paste if you want, idc)

Thanks @Ya Boi but im just going to explain in my own words, thanks!

no problem

Yeah, it says on my question "Show ALL work or explain in details the correct solution"

There are multiple ways to solve this problem and determine which set of integers is in the right order from least to greatest. Here are two possible ways:

Method 1: Comparing numbers one by one
1. Look at the first number in each set. In this case, we have |-10|, 7, 2, and -3.
2. Since |–10| is equal to 10, |–10| is greater than all the other numbers in the set.
3. Comparing the remaining numbers, we have 7, 2, and -3.
4. The correct order from least to greatest is -3, 2, 7, and |–10|. This corresponds to option 4.

Method 2: Sorting the numbers
1. Take each set of integers and arrange them in ascending order from least to greatest.
2. For the first set, we have |-10|, -3, 2, and 7. Since |-10| is equal to 10, the first set becomes 10, -3, 2, and 7.
3. For the second set, we have 7, |-10|, -3, and 2. As before, |-10| becomes 10, so the second set becomes 7, 10, -3, and 2.
4. For the third set, we have 2, -3, 7, and |-10|. |-10| becomes 10, so the third set becomes 2, -3, 7, and 10.
5. For the fourth set, we have -3, 2, 7, and |-10|. |-10| becomes 10, so we don't need to make any changes.
6. Compare the four sets. The set that is already in the correct order is the fourth set: -3, 2, 7, and |–10|. This corresponds to option 4.

Both methods yield the same result, which is that option 4 (-3, 2, 7, |–10|) is the set of integers that is in the right order from least to greatest.

A tutor might use method 1 or method 2 to solve this problem and explain the process to the student. They can also use visual aids, such as a number line, to help illustrate the concept of comparing numbers and ordering them from least to greatest.