Question

angela and xavier both evaluate the expression 0.6 × 0.07. angela says the product should be in the hundredths. xavier says the product should be in the thousandths. who is correct? use the drop - down menus to explain your reasoning. the first factor 0.6 is 6 tenths. the second factor 0.07 is 7 hundredths. that means the product is 42 thousandths. angela is correct.

Explanation:

Step1: Analyze the place values of the factors

0.6 is 6 tenths (since \(0.6=\frac{6}{10}\)) and 0.07 is 7 hundredths (since \(0.07 = \frac{7}{100}\)).

Step2: Calculate the product of the fractions

To find the product \(0.6\times0.07\), we can write it as \(\frac{6}{10}\times\frac{7}{100}\). Multiplying the numerators and denominators, we get \(\frac{6\times7}{10\times100}=\frac{42}{1000}\).

Step3: Convert the fraction to a decimal

\(\frac{42}{1000}=0.042\), which is 42 thousandths. So Xavier is correct, not Angela. (Note: There was a mistake in the original marked answer. Let's correct it.)

Answer:

Xavier is correct. The product of \(0.6\times0.07 = 0.042\), which is in the thousandths place. So the correct answer is Xavier.