Which of the following is an example of a rational number between 7 and 8?

A. 7.83 repeating decimal
B. 7.625
C. 7 1/9
D. Both a and c
E. All of the above

Respuesta :

Answer: E

Step-by-step explanation:

A definition of a rational number is a ratio of 2 whole numbers (a/b , b≠0), the ratio can be a fraction or a a repeating decimal. Therefore A, B and C are correct.

E. All of the above

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This question using the rational numbers concept.

Rational numbers are integers or 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).

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Option a:

In 7.83838383, there is a repeating decimal, thus, it is a rational number.

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Option b:

Finite number of decimal digits, so it is a rational number.

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Option c:

This number can be represented as a fraction, as follows:

[tex]7\frac{1}{9} = 7 + \frac{1}{9} = \frac{7\times9 + 1}{9} = \frac{64}{9}[/tex]

Since the number is represented as a fraction, it is a rational number.

Thus, all the numbers are rational, and the correct option is E.

A similar question is given at https://brainly.com/question/10814303