To determine which list orders the numbers from least to greatest, let's analyze the given numbers:
-2.6, 5.1, 0.8, -2.16, 0.58
We need to rearrange these numbers in ascending order.
First, identify the smallest number in the list. In this case, it is -2.6.
Next, find the next smallest number. That would be -2.16.
Continue this process for the remaining numbers, comparing each to find the smallest in the remaining set:
- The next smallest after -2.16 is 0.58.
- Following 0.58 is 0.8.
- Finally, the largest is 5.1.
So, in ascending order, the numbers are:
-2.6, -2.16, 0.58, 0.8, 5.1
Now, compare this ordered list to the provided options to identify the correct one:
1. [tex]$0.58, 0.8, -2.16, -2.6, 5.1$[/tex]
2. [tex]$-2.16, -2.6, 0.8, 0.58, 5.1$[/tex]
3. [tex]$-2.16, -2.6, 0.58, 0.8, 5.1$[/tex]
4. [tex]$-2.6, -2.16, 0.58, 0.8, 5.1$[/tex]
The option that matches our ordered list is:
[tex]$-2.6, -2.16, 0.58, 0.8, 5.1$[/tex]
So, the correct answer is:
[tex]$-2.6, -2.16, 0.58, 0.8, 5.1$[/tex]
