Question

tell whether 44 is a multiple of 4.
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the number 44 is a multiple of 4 because 4 + \\(\square\\) = 44. (type a whole number.)
b. the number 44 is a multiple of 4 because 4 × \\(\square\\) = 44. (type a whole number.)
c. the number 44 is not a multiple of 4.

Explanation:

To determine if 44 is a multiple of 4, we recall the definition of a multiple: a number \( n \) is a multiple of \( a \) if there exists an integer \( k \) such that \( n = a \times k \).

Step 1: Analyze Option A

Option A suggests \( 4 + \square = 44 \). Solving for \( \square \), we get \( \square = 44 - 4 = 40 \). However, the definition of a multiple involves multiplication, not addition. So this is incorrect.

Step 2: Analyze Option B

Option B suggests \( 4 \times \square = 44 \). Solving for \( \square \), we divide both sides by 4: \( \square = \frac{44}{4} = 11 \). Since 11 is a whole number, this satisfies the definition of a multiple (44 is \( 4 \times 11 \)).

Step 3: Analyze Option C

Since we found that 44 can be written as \( 4 \times 11 \), Option C is incorrect.

Answer:

B. The number 44 is a multiple of 4 because \( 4 \times \boldsymbol{11} = 44 \).