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**.

A **rational number** is any number that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Since \( 0.75 = \frac{3}{4} \), it can be written as a fraction and is therefore rational.

Here’s why 0.75 does not belong to the other sets:

- **Natural Numbers**: These are the counting numbers (1, 2, 3, …) and do not include fractions or decimals.
- **Integers**: These include whole numbers and their negatives, but not fractions or decimals.
- **Whole Numbers**: These are natural numbers plus zero (0, 1, 2, 3, …) and do not include decimals or fractions.

So, the correct answer is **C. Rational Numbers**.

Would you like further details or explanations?

### Related questions:
1. What is the definition of rational and irrational numbers?
2. How can 0.75 be expressed as a fraction step-by-step?
3. Are there any decimals that are not rational numbers?
4. Can an integer also be a rational number?
5. Why do decimals like 0.333... belong to rational numbers?

**Tip**: Any decimal that terminates or repeats can be written as a fraction, and therefore belongs to the rational number set.

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

Discover why the number 0.75 belongs to the set of rational numbers. This solution explains the key mathematical concepts like number sets, real numbers, and rational numbers, and shows how 0.75 can be expressed as a fraction. Suitable for students in Grades 6-8.

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