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

Question

?(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.

Answer 1

The correct response is:

Rational, because both numbers are rational.

Here's why:

• The number \(3.4059...\) is a repeating decimal, which is a type of rational number (a number that can be expressed as a fraction).
• The number \(85\) is also a rational number, as it can be expressed as \( \frac{85}{1} \).

Since the subtraction of two rational numbers is always rational, the result of \(3.4059... - 85\) will also be a rational number.