Final answer:
D: 70,000. The student's question on estimating the product of 656 x 106, after rounding, results in 700 x 100, which is 70,000. Therefore, the correct answer, out of the given options, is D: 70,000.
Step-by-step explanation:
The student's question asks to round the factors and estimate the product of 656 x 106. To tackle this question, we would typically round each number to a single significant figure and then multiply those rounded numbers. Let's round 656 to 700 (since the next digit, 5, suggests we round up) and 106 to 100 (since 6 is less than 5, we round down). Now we multiply the rounded numbers: 700 x 100 = 70,000.
In more detailed numerical problems, precision matters, and we must be careful with significant figures. For example, if computing with numbers like 56.7 x 66.99 and desiring three significant figures, we round the result to the third significant digit. This precision is essential for accurate scientific calculations. So, the correct answer for our estimation problem, based on the given choices, is D: 70,000.