Final answer:
The partial products from multiplying 14 by 34 are 300, 40, 120, and 16, and their sum, 476, is the final product of the multiplication.
Step-by-step explanation:
The student has asked for the partial products that result from multiplying 14 by 34. To find these, we break down each number into its place value components. For 14 (which is 10 + 4) and 34 (which is 30 + 4), the multiplication can be done as follows:
- First, multiply the tens from each number: 10 (from 14) times 30 (from 34), which equals 300.
- Then, multiply the tens from the first number by the units of the second: 10 (from 14) times 4 (from 34), which gives 40.
- Next, multiply the units from the first number by the tens of the second: 4 (from 14) times 30 (from 34), resulting in 120.
- Finally, multiply the units from both numbers: 4 (from 14) times 4 (from 34), which equals 16.
When you add all these partial products together (300, 40, 120, and 16), you get a total of 476, which is the product of 14 and 34.