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Which list orders the numbers from least to greatest?

A. [tex]-2.6, 5.1, 0.8, -2.16, 0.58[/tex]
B. [tex]0.58, 0.8, -2.16, -2.6, 5.1[/tex]
C. [tex]-2.16, -2.6, 0.8, 0.58, 5.1[/tex]
D. [tex]-2.16, -2.6, 0.58, 0.8, 5.1[/tex]
E. [tex]-2.6, -2.16, 0.58, 0.8, 5.1[/tex]


Sagot :

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]