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 -5 and 4.1 are already in decimal form. Therefore, we do not need to change them. Let's focus now on 4710. Since it is a fraction, we may as well rewrite it as a division 47Ă·10 and calculate it.
47/10 ⇔ 4.7
Finally, let's consider the last expression, sqrt(16). We are asked to find the square root of a perfect square. We can rewrite this by simplifying the root.
sqrt(16) ⇔ 4
Ordering
We will begin by finding the least number. We know that negative numbers are always less than positive numbers. Therefore, -5 is the least. Now, we can continue with the other three numbers.
Let's graph all these values on the number line to put them in order.
To graph 4.7, we find 4 on the number line and move 0.7 steps in the positive direction.
Next, let's plot 4.1. To do this, we will find 4 on the number line and move 0.1 steps in the positive direction.
Now, let's graph 4.
To order the numbers from least to greatest we can read the graph from left to right. Remember that - 5 is the least number.
-5, 4, 4.1, 4.7 ⇔ -5,sqrt(16),4.1,47/10
