Use a calculator to find the value of a square root.
{5.73, 1/4, -0.06, -3sqrt(3), -17}
We are given 3 negative numbers and 2 positive numbers. Since positive values are always greater than negative ones, we will order them in their respective groups.
Negative Numbers
Let's consider the given negative numbers.
-17, -0.06, -3sqrt(3)
Before we write these numbers in decreasing order, let's first rewrite them in the same format to make the comparison easier. To do this, we will use a calculator to find the value of -3sqrt(3).
-3sqrt(3) = -5.196152...
Therefore, -3sqrt(3) lies between -17 and -0.06. With that in mind, we can write the numbers in decreasing order, from greatest to least.
-0.06, -3sqrt(3), -17
Positive Numbers
Let's consider the given positive numbers.
5.73, 1/4
Since 14 is a part of 1, it is less than 1. Therefore, it is less than 5.73 as well.
1/4< 1<5.73
⇓
1/4<5.73
Now, we can write these numbers in decreasing order.
5.73, 1/4
Combining the Numbers
Finally, let's combine all of the given numbers. To write them in decreasing order, we will start with the positive numbers and then we will write the negative ones.
5.73, 1/4, -0.06, -3sqrt(3), -17
