1. The problem is to multiply 35 by 15 using the breaking down method. 2. Break down 35 into 30 + 5. 3. Break down 15 into 10 + 5. 4. Use the distributive property: $$35 \times 15 = (30 + 5) \times (10 + 5)$$ 5. Multiply each part: - $$30 \times 10 = 300$$ - $$30 \times 5 = 150$$ - $$5 \times 10 = 50$$ - $$5 \times 5 = 25$$ 6. Add all the products together: $$300 + 150 + 50 + 25 = 525$$ 7. Therefore, $$35 \times 15 = 525$$.