Rose paints 14 paintings each month. Which of the following expressions shows how many paintings she paints in a year?

This problem tests your knowledge of the distributive property. Since there are 12 months in a year, to figure out how many paintings Rose paints in a year, you must multiply 12 months by 14 paintings: 12 × 14

This can also be written as 14 × (10 + 2)

Distributing (multiplying each number in the parentheses by 14) , you get

(14 × 10) + (14 × 2)

This corresponds to choice d.