The product of 14⋅10.2568 will be which of the following?(1 point)

Question

Responses

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

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.

Irrational, because one number is irrational.

Answer 1

The product of \( 14 \times 10.2568 \) will be:

• 14 is a rational number (it can be expressed as \( \frac{14}{1} \)).
• 10.2568 is also a rational number (it can be expressed as \( \frac{102568}{10000} \)).

When you multiply two rational numbers, the result is always a rational number.

Therefore, the correct response is:

Rational, because both numbers are rational.