Question

tell whether 40 is a multiple of 8.
select the correct choice below and, if necessary, fill in the ans your choice.
a. the number 40 is a multiple of 8 because 8 + \\(\square\\) = 40. (type a whole number.)
b. the number 40 is a multiple of 8 because 8 × \\(\square\\) = 40. (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 we need to check which option fits this definition.

Step2: Analyze Option A

Option A uses addition (\( 8 + \square=40 \)), but multiples are defined by multiplication, not addition. So A is incorrect.

Step3: Analyze Option B

For Option B, we solve \( 8\times\square = 40 \) for \( \square \). Dividing both sides by 8, we get \( \square=\frac{40}{8} = 5 \), which is a whole number. So 40 is a multiple of 8 because \( 8\times5 = 40 \).

Answer:

B. The number 40 is a multiple of 8 because \( 8\times\boldsymbol{5}=40 \).