Final answer:
Calculating 1872 divided by 12 with partial products involves breaking down 1872 into multiples of 12—1200, 600, 60, and 12—and adding the quotients from each division. The partial product results are 100, 50, 5, and 1 respectively, summing up to a final quotient of 156.
Step-by-step explanation:
To calculate 1872 divided by 12 using partial products, we break down 1872 into parts that are multiples of 12 and then add them together to find the total. Here's a step-by-step breakdown:
- First, divide 1200 by 12 which equals 100, since 1200 is a multiple of 12 and it's a part of 1872.
- Next, divide 600 by 12 which equals 50, because we still have 672 left (1872-1200) and 600 is a multiple of 12 contained in that number.
- Then, divide 60 by 12 which equals 5, because we still have 72 left (672-600), and 60 is a multiple of 12 contained in that number.
- Lastly, divide the remaining 12 by 12 which equals 1, because we have exactly 12 left after the previous steps (72-60).
Adding our partial product results 100 + 50 + 5 + 1, we get the final quotient, which is 156. Therefore, the result of dividing 1872 by 12 is 156.