Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
3. Real Numbers and the Number Line
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Exercise 45 Page 20

Rewrite each number as a decimal.

- 2, - 7/4, 1/2, sqrt(5), 2.4

Practice makes perfect

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 -2 and 2.4 are already in decimal form. Therefore, we do not need to change them. Let's focus now on 12.
1/2
5/10
0.5
Using the same method we will rewrite - 74.
- 7/4
- 175/100
- 1.75

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.

Ordering

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