What type of number will result from 3.4059...−85

Question

?(1 point)
Responses

Rational, because one number is rational.
Rational, because one number is rational.
Irrational, because one number is irrational.
Irrational, because one number is irrational.
Rational, because both numbers are rational.
Rational, because both numbers are rational.
Irrational, because both numbers are irrational.

Answer 1

The result of \( 3.4059\ldots - 85 \) will be a rational number.

This is because \( 3.4059\ldots \) represents a repeating (or terminating) decimal, which is a type of rational number. The number \( 85 \) is also a rational number (it can be expressed as \( \frac{85}{1} \)).

When you subtract two rational numbers, the result is always rational.

Therefore, the correct response is:

Rational, because both numbers are rational.