To represent \(-\frac{11}{4}\) on a number line, follow these steps:

1. **Convert the fraction to a mixed number (optional but helpful for understanding):**
   \[
   -\frac{11}{4} = -2 \frac{3}{4}
   \]
   This means \(-\frac{11}{4}\) is located at -2 and \(\frac{3}{4}\) between -2 and -3.

2. **Identify the whole numbers:**
   Place the whole numbers on the number line: -3, -2, -1, 0, 1, 2, etc.

3. **Divide the segment between -3 and -2 into 4 equal parts:**
   Since the denominator is 4, each segment between two consecutive whole numbers should be divided into 4 equal parts.

4. **Count 3 parts from -3 towards -2:**
   Start from -3 and move right by 3 parts. Each part represents \(\frac{1}{4}\), so moving 3 parts right from -3 places you at \(-2 \frac{3}{4}\).

5. **Mark the point \(-\frac{11}{4}\):**
   This point will be \(-2 \frac{3}{4}\), which is three-quarters of the way from -3 to -2.

Here's a visual representation:

```
   -3         -2         -1          0          1
   |----|----|----|----|----|----|----|----|----|
  -3   -2.75  -2.5  -2.25  -2
               ^
               |
          -2 3/4  or  -11/4
```

### Summary
- \(-\frac{11}{4}\) is equivalent to \(-2 \frac{3}{4}\).
- Identify whole numbers -3 and -2 on the number line.
- Divide the segment between -3 and -2 into 4 equal parts.
- Move 3 parts to the right from -3 to locate \(-2 \frac{3}{4}\).

Would you like any further details or have any questions?

Here are five questions you might want to ask next:
1. How to convert improper fractions to mixed numbers?
2. What are some tips for dividing a number line into equal parts?
3. How do you represent \(\frac{7}{5}\) on a number line?
4. Can you explain how to add fractions with different denominators?
5. What are common mistakes to avoid when working with fractions?

**Tip:** When working with fractions on a number line, it's helpful to first convert improper fractions to mixed numbers to better understand their placement.

Learn how to represent -11/4 (-2 3/4) on a number line with a detailed step-by-step guide. This problem covers key concepts in fractions and number line representation. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation