The product of 14⋅10.2568

Question

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

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

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

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

Irrational, because one number is irrational.

Answer 1

To determine the nature of the product \( 14 \cdot 10.2568 \), we need to evaluate the two numbers involved:

• \( 14 \) is an integer, which is also a rational number.
• \( 10.2568 \) is a decimal number, which can be expressed as a fraction, and is therefore also a rational number.

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

Therefore, the correct response is:

Rational, because both numbers are rational.