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- 2, - 7/4, 1/2, sqrt(5), 2.4
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.
The last expression, sqrt(5), is a square root. To convert it to decimal we will use a calculator.
We found that sqrt(5)≈ 2.24.
To order the values, we will graph them on the number line. To graph 12, that equals 0.5, we will find 0 on the number line and move 0.5 steps in the positive direction.
Now, let's graph - 2.
Next, let's plot sqrt(5)≈ 2.24. To do this, we will find 2 on the number line and move about 0.24 steps in the positive direction.
To plot - 74, that equals -1.75, we will find - 1 on the number line and move 0.75 steps in the negative direction.
Finally, let's graph 2.4.
To order the numbers from least to greatest, we can read the graph from left to right. -2, - 7/4, 1/2, sqrt(5), 2.4