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 49 Page 20

Rewrite each number as a decimal.

- 9/4, - 13/6, - 2.1, - 26/13

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 -2.1 is already in decimal form. Therefore, we do not need to change it. Let's focus now on - 136. To rewrite it as a decimal, we will use a calculator.

We found that - 136≈ - 2.17. Let's look at the next number, - 2613. This time we do not need a calculator.
- 26/13
- 2
We know that - 2613 equals -2. Next, we will convert - 94.
- 9/4
- 225/100
- 2.25
We found that - 94 equals -2.25.

Ordering

To order the values, we will graph them on the number line. To graph - 136≈ - 2.17, we will find - 2 on the number line and move about 0.17 steps in the negative direction.

Next, let's plot - 2.1. To do this, we will find - 2 on the number line and move 0.1 steps in the negative direction.

Now, we will graph - 2613, which equals -2.

Let's plot the last expression, - 94 which equals -2.25.

To order numbers from least to greatest, we can read the graph from left to right. -9/4, - 13/6, - 2.1, - 26/13