To determine the type of number that results from the operation \( 3.4059... - 85 \), we first need to classify the numbers involved in the operation:
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Rational Numbers: A number is rational if it can be expressed as a fraction of two integers (i.e., \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \)).
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Irrational Numbers: A number is irrational if it cannot be expressed as a fraction of two integers.
The number \( 3.4059... \) is a decimal that terminates and has a repeating pattern, which indicates it can be expressed as a fraction. Therefore, \( 3.4059... \) is a rational number.
The number \( 85 \) is also a rational number, as it can be expressed as \( \frac{85}{1} \).
Now, when we subtract one rational number from another (in this case, \( 3.4059... \) from \( 85 \)), the result is also a rational number.
Thus, the correct response is:
Rational, because both numbers are rational.