Question

The number line starts at negative 2 and ends at positive 2. It is divided into increments of 1, meaning that there are numbers -2, -1, 0, 1, and 2 marked on the line. Each of these numbers is equally spaced apart, with 4 equal spaces between each number. These spaces can represent fractions or decimals. For example, between -2 and -1, there are 4 equal spaces, representing the numbers -1.75, -1.5, -1.25, and -1. Similarly, between 0 and 1, there are the spaces 0.25, 0.5, 0.75, and so on. The number line accurately represents the integers from -2 to 2 and provides means to represent fractions or decimals between these integers.

Answer 1

The number line you're describing effectively represents the integers from -2 to 2 as well as the fractional values that lie between them. Here’s a breakdown of how the number line is structured and how the fractions or decimals fit in:

1. **Integers on the Number Line:**
- The marked points are:
- -2
- -1
- 0
- 1
- 2

2. **Divisions Between Integers:**
- Each segment between these integers is divided into 4 equal spaces. This allows for the representation of fractional values. Here’s how it looks for each segment:

- **From -2 to -1:**
- -2.0, -1.75, -1.5, -1.25, -1.0
- **From -1 to 0:**
- -1.0, -0.75, -0.5, -0.25, 0.0
- **From 0 to 1:**
- 0.0, 0.25, 0.5, 0.75, 1.0
- **From 1 to 2:**
- 1.0, 1.25, 1.5, 1.75, 2.0

3. **Fractional Representation:**
- Between each pair of consecutive integers, you have 4 fractional values. The fractions can be represented as:
- **-1.75:** the first space after -2
- **-1.5:** the second space after -2
- **-1.25:** the third space after -2
- And similarly for the other sections.

4. **Decimal Representation:**
- Each fractional value can also be expressed in decimal form, making it easy to understand and visualize. For example:
- -1.75, -1.5, -1.25 as decimals are already in decimal form.
- 0.25 and 0.75 can also be recognized as 1/4 and 3/4 in fraction form.

Overall, this design provides a comprehensive visual for both integers and fractional/decimal values within the range from -2 to 2, offering a useful tool for understanding numbers and their relationships on the number line.