Question

tell whether 80 is a multiple of 4.
select the correct choice below and, if necessary, fill in the answer your choice.
a. the number 80 is a multiple of 4 because 4 + \\(\square\\) = 80. (type a whole number.)
b. the number 80 is a multiple of 4 because 4 \\(\times\\) \\(\square\\) = 80. (type a whole number.)

Explanation:

Step1: Recall multiple definition

A multiple of a number \( n \) is a number that can be expressed as \( n\times k \), where \( k \) is a whole number. So for 4, a multiple should be \( 4\times k \), not \( 4 + k \). So option B is correct.

Step2: Solve for \( k \) in \( 4\times k = 80 \)

To find \( k \), we divide both sides of the equation \( 4k=80 \) by 4. So \( k=\frac{80}{4}=20 \).

Answer:

B. The number 80 is a multiple of 4 because \( 4\times 20 = 80 \).