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

Question

?(1 point)
Responses

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

Answer 1

To determine the type of number that results from the operation \(3.4059... - \frac{8}{5}\):

1. Identify the nature of the numbers involved:

   • \(3.4059...\) is a decimal that appears to be non-terminating and non-repeating, which means it is an irrational number. However, it may also just be a rounded form of a rational number if it actually represents a repeating decimal (e.g., if it were \(3.405909090...\)). But without more context, we will consider this to be an irrational number.
   • \(\frac{8}{5}\) is a fraction and is a rational number.

2. Subtract the numbers:

   • When you subtract a rational number (\(\frac{8}{5}\)) from an irrational number (\(3.4059...\)), the result will be irrational.

3. Conclusion: Subtracting a rational number from an irrational number results in an irrational number.

Therefore, the correct response is: Irrational, because one number is irrational.