To find the partial products you multiply 7 times each digit of 35, taking into account the place value of each digit. The 5 is in the unis so its value is 5. The 3 is in the tens place, so its value is 3 * 10 = 30. Then the partial products are: 7 * 5 = 35 and 7 * 30 = 210, so the total product is the sum of the partial products: 35 + 210 = 245.