The product of 1/4⋅10.2568

Question

will be which of the following?(1 point)
Responses

An integer, because both numbers are rational.
An integer, because both numbers are rational.

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

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

Rational, because both numbers are rational.

Answer 1

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

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

Since the product of two rational numbers is always a rational number, we can conclude that:

The correct response is:

Rational, because both numbers are rational.