Using the concept of rational numbers, it is found that 5.3 is a rational number, as it is a finite decimal.
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This question is solved using the sets of numbers.
- Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}
- Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....}
- Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern).
- Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339.
- Real numbers: Rational plus irrational.
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- 5.3 has a finite number of decimals.
- One decimal digit, thus, the fraction is [tex]5.3 = \frac{53}{10}[/tex]
- Due to the finite number of decimals, it is a rational number.
A similar problem is given at https://brainly.com/question/10814303
