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 58 Page 16

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

{11, sqrt(14), 5/2, 1, -9/16 }

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

First Value

Type sqrt(14) into a calculator to help us graph it. sqrt(14) = 3.741657... Now, we can locate the point on a number line.

Second Value

The second value is 52. Let's write this number as a mixed number.
5/2
4+1/2

a+b/c = a/c + b/c

4/2 +1/2
2 + 1/2
2 12
We will find 2 on the number line, and then move 12 of a step in the positive direction.

Third Value

Similarly, let's graph - 916. Since -1<- 916<0, we will find 0 on the number line, and then move 916 of a step in the negative direction.

Fourth Value

Next, let's plot 1. We will find 0 on the number line and move 1 step in the positive direction.

Fifth Value

The last value is 11; let's plot it. We will find 0 on the number line and move 11 steps 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. {11, sqrt(14), 5/2, 1, -9/16 }