Questions: The product of 1/4 * 10.2568 will be which of the following? (1 point) An integer, because both numbers are rational. Radical, because there is a fraction and a decimal. Rational, because both numbers are rational. Irrational, because one number is irrational.

$The product of 1/4 * 10.2568 will be which of the following? (1 point) An integer, because both numbers are rational. Radical, because there is a fraction and a decimal. Rational, because both numbers are rational. Irrational, because one number is irrational.$

Transcript text: 1 A Semester Review - Google Chrome ontent/chrome/online/lessonViewer_responsive.aspx?header=true\&idCourse=184506\&idUnit=147782\&idLesson UNIT 9 LESSON 1 Algebra 1 A Semester Review \& Exam Algebra 1 A Semester Review Algebra 1 A Semester Online Practice Complete this assessment to review what you've learned. It will not count tov The product of $\frac{1}{4} \cdot 10.2568$ will be which of the following? (1 point) An integer, because both numbers are rational. Radical, because there is a fraction and a decimal. Rational, because both numbers are rational. Irrational, because one number is irrational. Check answer Remaining Attempts : 3

Solution

Solution Steps

Step 1: Identify the Numbers

The problem involves multiplying two numbers: $\frac{1}{4}$ and $10.2568$. Both of these numbers are rational. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Step 2: Perform the Multiplication

Calculate the product of $\frac{1}{4}$ and $10.2568$:

\[ \frac{1}{4} \times 10.2568 = \frac{10.2568}{4} = 2.5642 \]

Step 3: Determine the Nature of the Product

The result of the multiplication, $2.5642$, is a decimal number that can be expressed as a fraction, which means it is a rational number. Therefore, the product is rational.