Final answer:
The correct way to write the partial product for 8 3/4 x 7 4/5 is by breaking it down into 8×7, 8×4/5, 3/4×7, and 3/4×4/5, option C.
Step-by-step explanation:
When we write the partial product for 8 3/4 x 7 4/5, we are breaking down the multiplication into smaller, more manageable pieces. The correct way to do this is by using the distributive property, which involves multiplying each term in one parenthesis by each term in another parenthesis. The mixed numbers need to be considered as a sum of their whole number and fractional parts. This means the multiplication should be broken down as follows:
- 8 × 7 (the whole numbers from both mixed numbers)
- 8 × 4/5 (the whole number from the first mixed number and the fraction from the second)
- 3/4 × 7 (the fraction from the first mixed number and the whole number from the second)
- 3/4 × 4/5 (the fractions from both mixed numbers)
The correct answer from the given options that reflects this method is C. 8×7 and 3/4 × 7 and 3/4 × 4/5.