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 3 and 2.9 are already in decimal form. Therefore, we do not need to change them. Let's focus now on 103. To rewrite it as a decimal, we will use a calculator.
We found that 103≈ 3.33. Let's consider the next expression, sqrt(8). We will use a calculator again.
We know that sqrt(8)≈ 2.83. Now, we will do the same for the last expression, sqrt(7).
We found that sqrt(7) ≈ 2.65.
Ordering
To order the values, we will graph them on the number line.
To graph 103≈ 3.33, we will find 3 on the number line and move around 0.3 steps in the positive direction.
Now, let's graph 3.
Next, let's plot sqrt(8)≈ 2.83. To do this, we will find 2 on the number line and move about 0.8 steps in the positive direction.
Let's graph 2.9.
Finally, we will graph sqrt(7) ≈ 2.65.
To order numbers from least to greatest, we can read the graph from left to right.
sqrt(7), sqrt(8), 2.9, 3, 10/3
