Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
2. Properties of Real Numbers
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Exercise 57 Page 16

Use a calculator to find the value of a square root.

{8, 1, 1/3, -sqrt(2),-3 }

Let's approach ordering the given set from greatest to least, one number at a time.

First Value

The first value is 1. To graph it, find 1 on the number line.

Second Value

Similarly, let's plot -3.

Third Value

Let's type -sqrt(2) into a calculator to help us graph it. -sqrt(2) = - 1.414213... Now, we can locate the point in the number line.

Fourth Value

Next, let's plot 8 on the number line.

Fifth Value

The last value is 13. To graph it, we will move one third of a step in the positive direction.

Combining the Number Lines

Finally, let's combine all of our number lines into one.

Now, we can write the set in order from greatest to least. {8, 1, 1/3, -sqrt(2),-3 }