Respuesta :
9514 1404 393
Answer:
Greg is correct. 3.3 has a finite number of digits
Step-by-step explanation:
A "non-terminating" decimal is one with an infinite number of digits. If you can actually count the digits, it is a terminating decimal. 3.3 has 2 digits, so is a terminating decimal. Greg is correct.
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A terminating or repeating decimal is a rational number.
[tex]3.3 \quad\text{a terminating decimal equal to $\dfrac{33}{10}$}\\\\ 3.\overline{3} \quad \text{a non-terminating rep}\text{eating decimal equal to $\dfrac{10}{3}$}[/tex]
Using the concept of rational numbers, it is found that 5.3 is a rational number, as it is a terminating decimal, and thus, Greg is correct.
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Number sets are used to solve this question.
- 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...., or 0.3333333......
- Real numbers: Rational plus irrational.
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- 3.3 is a terminating decimal, as it has only one digit after the decimal point, thus, it is a rational number, and Greg is correct.
- [tex]3.3333 \approx \frac{10}{3}[/tex] is not terminating, but this problem is about 3.3.
A similar problem is given at https://brainly.com/question/13325494
