The product of 1/4⋅10.2568 will be which of the following?(1 point)

Question

Responses

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

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

Radical, because there is a fraction and a decimal.
Radical, because there is a fraction and a decimal.

An integer, because both numbers are rational.

Answer 1

To determine the nature of the product \( \frac{1}{4} \cdot 10.2568 \), we need to analyze the numbers involved.

1. \( \frac{1}{4} \) is a rational number (a fraction).
2. \( 10.2568 \) is also a rational number (a decimal that can be expressed as a fraction).

The product of two rational numbers is always a rational number.

Therefore, the correct choice from the provided options is:

Rational, because both numbers are rational.