Question

Estimate the product. Is the estimated product closer to 550,000 or 600,000? The product of 680 times 776 is about ______.

A) 500,000; 550,000
B) 550,000; 600,000
C) 600,000; 650,000
D) 650,000; 700,000

Answer 1

The estimated product of 680 times 776 is about 527,000, which is closer to 550,000 than 600,000.

Step-by-step explanation:

To estimate the product of 680 times 776, we rounded both numbers to the nearest hundred for simplicity, resulting in 700 and 800, respectively. Multiplying these rounded values gives us an estimated product of 560,000. Comparing this estimation to the given options (A) 500,000; 550,000, (B) 550,000; 600,000, (C) 600,000; 650,000, and (D) 650,000; 700,000, we find that the estimated product is closest to 550,000.

The rounding approach provides a quick approximation while maintaining the essence of the original numbers. In this case, rounding to the nearest hundred captures the relative scale of 680 and 776. The result of 560,000 falls within the range of 550,000 to 600,000, making option (B) the most accurate choice.

This estimation method is useful in scenarios where an exact calculation is not necessary but a quick and reasonable approximation is sufficient. It allows for mental math and quick decision-making based on the magnitude of the numbers involved.