https://file.aiquickdraw.com/mathbot/file/17265259110556qja63zr.jpg

Let's analyze the number line and where the given values should be placed.

### Numbers given:
1. \( 4.08 \)
2. \( 4 \frac{2}{3} \) (which is \( 4.6667 \) approximately)
3. \( 4.75 \)
4. \( 4 \frac{1}{7} \) (which is approximately \( 4.1429 \))

### Placement on the number line (between 4 and 5):
- **\( 4.08 \)** is just slightly above 4, closer to 4.1.
- **\( 4 \frac{2}{3} \approx 4.67 \)** is close to the tick mark just before 4.7.
- **\( 4.75 \)** is exactly between 4.7 and 4.8.
- **\( 4 \frac{1}{7} \approx 4.14 \)** is slightly above 4.1 but below 4.2.

So, the numbers should be placed in this order:
1. \( 4.08 \) right after 4.
2. \( 4 \frac{1}{7} \) around 4.14.
3. \( 4 \frac{2}{3} \) around 4.67.
4. \( 4.75 \) slightly before 4.8.

Would you like any more details or have any questions?

Here are 5 related questions:
1. How do you convert a fraction to a decimal for easier comparison?
2. What is the relationship between fractions and their decimal equivalents?
3. How would you place decimals like \(4.95\) or \(4.03\) on a number line?
4. How can you estimate the position of a decimal between whole numbers?
5. What strategy can you use to compare decimals without converting them?

**Tip:** When placing numbers on a number line, it helps to round decimals to the nearest tenth or hundredth for quick approximation.

Correctly place the following numbers on a number line to the nearest tick mark: 4.08, 4 2/3, 4.75, 4 1/7.

Learn how to correctly place numbers like 4.08, 4 2/3, 4.75, and 4 1/7 on a number line between 4 and 5. This problem helps understand the conversion of fractions to decimals and precise rounding for correct placement.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation