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The product of 14⋅10.2568 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.

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

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

Irrational, because one number is irrational.

1 answer

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

  1. 14 is an integer and is rational.
  2. 10.2568 is a decimal number, which can be expressed as a fraction (10.2568 = 102568/10000), and therefore is also rational.

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

Thus, the correct answer is:

Rational, because both numbers are rational.