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

Question

Responses

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

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

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

An integer, because both numbers are rational.

Answer 1

To find the product of \( \frac{1}{4} \cdot 10.2568 \), we can analyze the nature of the numbers involved:

1. \( \frac{1}{4} \) is a rational number.
2. \( 10.2568 \) is also a rational number (it can be expressed as \( \frac{102568}{10000} \)).

The product of two rational numbers is always rational. Therefore:

• The correct response is: Rational, because both numbers are rational.