Question

You have 6 clay pots that you want to display in order from shortest to tallest. Write the heights of the pots in order from least to greatest.
1.8 in.
StartRoot 5 EndRoot in.
1.6 in.
2.5 in.
StartRoot 3 EndRoot in.
2 and one third in.

Answer 1

To order the heights of the clay pots from shortest to tallest, we first need to convert all the heights into decimal form for easy comparison.

Here are the heights provided:

1. \(1.8\) in.
2. \(\sqrt{5}\) in. (approximately \(2.236\) in.)
3. \(1.6\) in.
4. \(2.5\) in.
5. \(\sqrt{3}\) in. (approximately \(1.732\) in.)
6. \(2 \frac{1}{3}\) in. (which is \(2.333\) in. when converted to a decimal)

Now, let's convert the mixed number into a decimal:

- \(2 \frac{1}{3}\) = \(2 + \frac{1}{3} = 2 + 0.3333 = 2.3333\) (approximately)

Next, let's list them in decimal form:

1. \(1.6\) in.
2. \(1.8\) in.
3. \(\sqrt{3} \approx 1.732\) in.
4. \(\sqrt{5} \approx 2.236\) in.
5. \(2.5\) in.
6. \(2 \frac{1}{3} \approx 2.333\) in.

Now let's organize these values in order from least to greatest:

1. \(1.6\) in.
2. \(1.732\) in. (which is \(\sqrt{3}\))
3. \(1.8\) in.
4. \(2.236\) in. (which is \(\sqrt{5}\))
5. \(2.333\) in. (which is \(2 \frac{1}{3}\))
6. \(2.5\) in.

Therefore, the heights of the clay pots in order from shortest to tallest are:

1. \(1.6\) in.
2. \(\sqrt{3}\) in.
3. \(1.8\) in.
4. \(\sqrt{5}\) in.
5. \(2 \frac{1}{3}\) in.
6. \(2.5\) in.