Question

7.5.ap-14
tell whether 27 is a multiple of 9.
select the correct choice below and, if necessary, fill in the a
your choice.
a. the number 27 is a multiple of 9 because 9×□=27.
(type a whole number.)
b. the number 27 is a multiple of 9 because 9+□=27.
(type a whole number.)
c. the number 27 is not a multiple of 9.

Explanation:

Step1: Recall the definition of a multiple

A multiple of a number \( n \) is a number \( m \) such that \( m = n\times k \) where \( k \) is a whole number. So we need to find \( k \) such that \( 9\times k = 27 \).

Step2: Solve for \( k \)

We solve the equation \( 9\times k = 27 \) for \( k \). Dividing both sides by 9, we get \( k=\frac{27}{9} = 3 \). So 27 is a multiple of 9 because \( 9\times3 = 27 \).

Answer:

A. The number 27 is a multiple of 9 because \( 9\times\boldsymbol{3}=27 \).