recta numerica 0, 1, 2, 3, -1, - 2, - 3, - 4, ½, 1/4 , 5/4, 9/4, 3/2, - 3/2, - 5/2, - ¾, - 7/4, - 11/4

To represent the given numbers on a **number line** (recta numérica), we need to place each number at its appropriate position according to its value. The number line includes both positive and negative integers and fractions.

### Given Numbers:
- **Integers:** \(0, 1, 2, 3, -1, -2, -3, -4\)
- **Positive Fractions:** \(\frac{1}{2}, \frac{1}{4}, \frac{5}{4}, \frac{9}{4}, \frac{3}{2}\)
- **Negative Fractions:** \(-\frac{3}{2}, -\frac{5}{2}, -\frac{3}{4}, -\frac{7}{4}, -\frac{11}{4}\)

### Number Line Representation:

Here’s how these numbers would be placed on a number line:

```
-4       -3      -2       -1        0        1        2        3
|--------|--------|--------|--------|--------|--------|--------|
-4   -3.5 -3   -2.5 -2   -1.5 -1   -0.5  0   0.25  0.5  0.75  1   1.25  1.5  1.75  2   2.25  2.5  2.75  3
                   -3/2        -3/4         1/4   1/2       5/4        3/2        9/4
```

### Key Points on the Number Line:

1. **Negative Integers and Fractions:**
   - Negative integers \( -4, -3, -2, -1 \) are located to the left of \(0\).
   - Negative fractions are between these integers, such as:
     - \(-\frac{3}{4} = -0.75\), between \(-1\) and \(0\).
     - \(-\frac{3}{2} = -1.5\), between \(-2\) and \(-1\).
     - \(-\frac{5}{2} = -2.5\), between \(-3\) and \(-2\).
     - \(-\frac{7}{4} = -1.75\), between \(-2\) and \(-1.5\).
     - \(-\frac{11}{4} = -2.75\), between \(-3\) and \(-2.5\).

2. **Zero:**
   - The number \(0\) is the neutral point dividing negative and positive numbers.

3. **Positive Integers and Fractions:**
   - Positive integers \(0, 1, 2, 3\) are located to the right of \(0\).
   - Positive fractions are between these integers, such as:
     - \(\frac{1}{4} = 0.25\), between \(0\) and \(1\).
     - \(\frac{1}{2} = 0.5\), between \(0\) and \(1\).
     - \(\frac{5}{4} = 1.25\), between \(1\) and \(2\).
     - \(\frac{3}{2} = 1.5\), between \(1\) and \(2\).
     - \(\frac{9}{4} = 2.25\), between \(2\) and \(3\).

### Conclusion:
On a number line, negative values are positioned to the left of zero, while positive values are to the right. Each fraction is placed according to its decimal equivalent. Fractions such as \(\frac{1}{2}\) and \(-\frac{3}{2}\) are placed between integers depending on their values.

Would you like a visual representation of this number line or further clarification on any specific numbers?

### 5 Related Questions:
1. How do you place irrational numbers on a number line?
2. What is the importance of zero on the number line?
3. How can you find the decimal equivalents of fractions?
4. How are fractions and decimals represented on the number line differently?
5. What are some real-life applications of understanding number lines?

**Tip:** When placing fractions on a number line, convert them to their decimal forms for easier positioning between integers.

Learn how to represent integers and fractions on a number line. This page provides a detailed guide on placing numbers such as 0, 1, 2, 3, -1, -2, -3, -4, ½, ¼, 5/4, 9/4, 3/2, -3/2, -5/2, -¾, -7/4, -11/4 on a number line with clear explanations and visual aids. Suitable for students in Grades 4-6.

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