Notice that all of the numbers given are written in different forms. Let's rewrite each of them as decimals, and then try to compare them.
Rewriting the Numbers
We know that -6 and 4.3 are already in decimal form. Therefore, we do not need to change them. Let's focus now on sqrt(20). To convert a square root to a decimal we will use a calculator.
We found that sqrt(20)≈ 4.47. Finally, let's consider the last expression, - 599. To rewrite it we will also use a calculator.
We know that - 599≈ - 6.56.
Ordering
To order the values, we will graph them on the number line. We will start with - 6.
To graph sqrt(20)≈ 4.47, we will find 4 on the number line and move about 0.5 steps in the positive direction.
Now, let's graph 4.3 on the number line.
Next, let's plot - 599≈ - 6.56. To do this, we will find - 6 on the number line and move about 0.6 steps in the negative direction.
To order the numbers from least to greatest, we can read the graph from left to right.
- 59/9, - 6, 4.3, sqrt(20)
