High School

Put these numbers in order from least to greatest:

[tex]\[ 13 \frac{32}{40} \][/tex]

[tex]\[ -13.9 \][/tex]

[tex]\[ 13 \][/tex]

Answer :

To arrange the given numbers from least to greatest, let's consider each of them:

1. [tex]\( 13 \frac{32}{40} \)[/tex] is a mixed number. To work with it more easily, convert it to a decimal.

[tex]\[
13 \frac{32}{40} = 13 + \frac{32}{40} = 13 + 0.8 = 13.8
\][/tex]

2. [tex]\(-13.9\)[/tex] is already in decimal form.

3. [tex]\( 13 \)[/tex] is an integer, and it's also in decimal form as [tex]\( 13.0 \)[/tex].

Now, we have the numbers in decimal form:

- [tex]\( -13.9 \)[/tex]
- [tex]\( 13.0 \)[/tex]
- [tex]\( 13.8 \)[/tex]

Next, we order these numbers from least to greatest:

- The smallest number is [tex]\(-13.9\)[/tex].
- The next smallest number is [tex]\(13.0\)[/tex].
- The largest number is [tex]\(13.8\)[/tex].

So, the numbers in order from least to greatest are:

[tex]\[
-13.9, 13, 13 \frac{32}{40}
\][/tex]