Final answer:
Option C). To estimate the product by rounding to the greatest place value, round 7.50 to 8 and 88 to 90, multiplying them to get 720, which is the estimated product.
Step-by-step explanation:
We first round 7.50 to the nearest whole number, which is 8, because the digit in the tenth place is 5, which is 5 or larger, so we round up. This allows us to estimate the product of 7.50 x 88 by rounding each integer to its largest place value. The next step is to round 88 to the nearest ten, which stays at 90 because we rounded up because the digit in the ones place, 8, is again 5 or more. The rounded integers are now multiplied: 8 x 90.
This product's estimated value is 8 x 90 = 720.
Thus, C) 720 is the right response among the possibilities given.