Respuesta :
0.398 is a rational real number.
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To solve this question, we need to understand 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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0.398 has a finite number of decimal digits, so it is a rational real number, as all rationals are real too.
A similar question is found at https://brainly.com/question/17053024
We can define a rational number as any number that can be written as the quotient of two integer numbers.
We will see that our number is a rational number.
Here we have the number 0.398, and we can try to rewrite it as the quotient of two whole numbers.
We can see that we have 3 digits after the decimal point, so we need to multiply and divide our number by 10^3
We will get:
[tex]0.398*\frac{10^3}{10^3} = 0.398*\frac{1000}{1000} = \frac{ 0.398*1000}{1000}\\\\= \frac{398}{1000}[/tex]
We just saw that we can write our number as the quotient of two whole numbers, then we can conclude that our number is a rational number.
If you want to learn more, you can read:
https://brainly.com/question/15815501
