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What type of number will result from 3.4059...−8/5

?(1 point)
Responses

Rational, because both numbers are rational.
Rational, because both numbers are rational.

Irrational, because both numbers are irrational.
Irrational, because both numbers are irrational.

Irrational, because one number is irrational.
Irrational, because one number is irrational.

Rational, because one number is rational.

1 answer

To determine what type of number results from the expression \( 3.4059... - \frac{8}{5} \), we need to analyze both components of the operation.

  1. The number \( 3.4059... \) is a decimal that can be considered a rational number, as it can be expressed as the fraction of two integers (specifically, it can be represented as \( \frac{34059}{10000} \) if it terminates or has a repeating pattern).

  2. The fraction \( \frac{8}{5} \) is also a rational number, as it is the ratio of two integers.

Now, when you subtract one rational number from another rational number, the result is always a rational number. Therefore, the result of \( 3.4059... - \frac{8}{5} \) will be rational.

The correct response is:

Rational, because both numbers are rational.