Carlo works as a waiter. He works double shifts 6 days a week. The lunch shift is 3 hours and the dinner shift is 2 hours. Find the total number of hours he works per week using the numbers 6, 3, and 2. Do the calculation two different ways so that the results give further justification for the distributive property.
A) $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=30$
B) $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=26$
C) $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=26$
D) $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=60$
E) $6(3+2)=30$ $(6 \cdot 3)+(6 \cdot 2)=30$

Question

Quizplus · Accepted Answer

The correct calculation using the distributive property is $6(3+2)=30$ because $3+2=5$ and $6 \times 5=30$. The alternative calculation, $(6 \cdot 3)+(6 \cdot 2)=18+12=30$, also results in 30, further justifying the distributive property.

Carlo Works as a Waiter 6(3+2)=266(3+2)=266(3+2)=26 (6⋅3)+(6⋅2)=30(6 \cdot 3)+(6 \cdot 2)=30(6⋅3)+(6⋅2)=30

Carlo Works as a Waiter $6(3+2)=26$ $(6 \cdot 3)+(6 \cdot 2)=30$