The diagram below shows how different sets of real numbers are related.
 


To which set does the number 0.75 belong?
A.Natural Numbers
B.Integers
C.Rational Numbers
D.Whole Numbers


The number 0.75 belongs to the set of **Rational Numbers (C)**.

### Explanation:
- **Natural Numbers (A)**: These are counting numbers starting from 1, 2, 3, and so on. They do not include 0, fractions, or decimals.
- **Integers (B)**: These include all whole numbers and their negatives, such as -3, -2, -1, 0, 1, 2, 3, etc. They do not include fractions or decimals.
- **Rational Numbers (C)**: These are numbers that can be expressed as the ratio of two integers (e.g., \(\frac{3}{4}\)). The decimal representation of a rational number can be terminating or repeating. Since 0.75 can be written as \(\frac{3}{4}\), it is a rational number.
- **Whole Numbers (D)**: These include all non-negative integers: 0, 1, 2, 3, and so on. They do not include fractions or decimals.

Since 0.75 is a terminating decimal and can be expressed as a fraction (\(\frac{3}{4}\)), it fits the definition of a Rational Number.

Would you like further details or have any questions?

### Related Questions:
1. To which set does the number -1 belong?
2. Is every integer a rational number? Why or why not?
3. What is the difference between whole numbers and natural numbers?
4. Can an irrational number be expressed as a fraction?
5. How would you categorize the number 2.5?

**Tip:** Any number that can be written as a fraction is a rational number.

The diagram below shows how different sets of real numbers are related. To which set does the number 0.75 belong? A. Natural Numbers B. Integers C. Rational Numbers D. Whole Numbers

Find out why the number 0.75 belongs to the set of rational numbers. Explore the distinction between natural numbers, integers, whole numbers, and rational numbers with examples and explanations. Perfect for students in Grades 6-8 learning about number systems.

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