Question

Order the rational and irrational numbers from least to greatest. Hint turn them all into decimals and order them.

Answer 1

Sure! To order both rational and irrational numbers from least to greatest, we can first convert everything into decimal form. Let's assume we have the following common rational and irrational numbers for this example:

**Rational Numbers:**
1. \(\frac{1}{2} = 0.5\)
2. \(-\frac{3}{4} = -0.75\)
3. \(\frac{3}{2} = 1.5\)

**Irrational Numbers:**
1. \(\sqrt{2} \approx 1.414\)
2. \(\pi \approx 3.14159\)
3. \(\sqrt{3} \approx 1.732\)

Now, let’s convert and list these numbers in decimal form:

- \(-0.75\) (from \(-\frac{3}{4}\))
- \(0.5\) (from \(\frac{1}{2}\))
- \(1.414\) (from \(\sqrt{2}\))
- \(1.732\) (from \(\sqrt{3}\))
- \(1.5\) (from \(\frac{3}{2}\))
- \(3.14159\) (from \(\pi\))

Now we can order all these numbers from least to greatest:

1. \(-0.75\)
2. \(0.5\)
3. \(1.414\) (\(\sqrt{2}\))
4. \(1.5\) (\(\frac{3}{2}\))
5. \(1.732\) (\(\sqrt{3}\))
6. \(3.14159\) (\(\pi\))

So, the final ordered list from least to greatest is:

\[-0.75, 0.5, \sqrt{2}, \frac{3}{2}, \sqrt{3}, \pi\]

If you have specific numbers you'd like me to order, please provide those!