Number line
We know that the placement along the number line is given by the how big are the numbers placed.
If a number is higher than the other it is at its right. If a number is lower than the other, then it is at its left.
Given the numbers:
0.21, 3/11, -2 1/6, 2.375, -1.62, 2 2/9, 5/3, -1.26.
we are going to organize them from the smaller one to the highest so we can organize them.
Step 1
Using the calculator, we are going to find the decimal value for the fractions:
[tex]\begin{gathered} \frac{3}{11}\approx0.27 \\ -2\frac{1}{6}=\frac{-2\times6}{6}+\frac{1}{6}=-\frac{12}{6}+\frac{1}{6}=-\frac{11}{6}\approx-1.83 \\ 2\frac{2}{9}=\frac{2\times9}{9}+\frac{2}{9}=\frac{18}{9}+\frac{2}{9}=\frac{20}{9}\approx2.22 \\ \frac{5}{3}\approx1.67 \end{gathered}[/tex]
Then, using those decimal values, we have the following list of numbers:
0.21, 3/11, -2 1/6, 2.375, -1.62, 2 2/9, 5/3, -1.26.
↓
0.21, 0.27, -1.83, 2.375, -1.62, 2.22, 1.67, -1.26.
Step 2
Now, we want to organize them from the lowest to the highest:
0.21, 0.27, -1.83, 2.375, -1.62, 2.22, 1.67, -1.26.
↓
-1.83 = -2 1/6
-1.62
-1.26
0.21,
0.27 = 3/11
1.67 = 5/3
2.22 = 2 2/9
2.375
Now, we can locate them
Step 3
Locating them in that order:
↓ using the original fractions
