https://file.aiquickdraw.com/mathbot/file/1726082917347ec14e8lt.jpg

Let's first evaluate the numbers given:

1. \( \frac{1}{3} \) ≈ 0.33
2. 1.8 (given directly)
3. \( \pi \) ≈ 3.14
4. \( \sqrt{6} \) ≈ 2.45
5. \( \sqrt{25} = 5 \)
6. 6 (given directly)

Now we order these from least to greatest:
\[
\frac{1}{3} \approx 0.33, \ 1.8, \ \sqrt{6} \approx 2.45, \ \pi \approx 3.14, \ \sqrt{25} = 5, \ 6
\]

The correct order is:
\[
\frac{1}{3}, \ 1.8, \ \sqrt{6}, \ \pi, \ \sqrt{25}, \ 6
\]

Now, let's check which option graphs these numbers correctly in increasing order:
- Option **C** is the correct answer.

Would you like any further details on the solution?

Here are 5 related questions you might want to explore:
1. How is \( \pi \) defined, and why is it irrational?
2. How do you compute square roots of non-perfect squares?
3. What are rational and irrational numbers?
4. How do you estimate square roots without a calculator?
5. Can all numbers be represented on a number line?

**Tip:** When comparing irrational numbers like \( \pi \), it helps to use an approximate decimal value for clarity.

Consider the numbers \( \sqrt{6}, 1.8, \sqrt{25}, \frac{1}{3}, \pi, 6 \). Which of the following shows the numbers graphed correctly and listed in order from least to greatest?

Explore how to correctly order numbers, including \( \sqrt{6}, 1.8, \sqrt{25}, \frac{1}{3}, \pi, 6 \), on a number line. This detailed solution involves evaluating decimal approximations and understanding properties of rational and irrational numbers, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation