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:
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Integers on the Number Line:
- The marked points are:
- -2
- -1
- 0
- 1
- 2
- The marked points are:
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Divisions Between Integers:
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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:
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From -2 to -1:
- -2.0, -1.75, -1.5, -1.25, -1.0
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From -1 to 0:
- -1.0, -0.75, -0.5, -0.25, 0.0
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From 0 to 1:
- 0.0, 0.25, 0.5, 0.75, 1.0
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From 1 to 2:
- 1.0, 1.25, 1.5, 1.75, 2.0
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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.
- Between each pair of consecutive integers, you have 4 fractional values. The fractions can be represented as:
-
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.
- Each fractional value can also be expressed in decimal form, making it easy to understand and visualize. For example:
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.