Final answer:
Rounding 1,739 to the nearest thousand gives us 2,000. Multiplying this by 5 gives an estimated product of 10,000. The actual product of 1,739 and 5 is 8,695, showing that the estimation overestimates in this case.
Step-by-step explanation:
The question involves estimating the product by rounding the first factor to the nearest thousand and then finding the actual product. Let's start by rounding 1,739 to the nearest thousand. When we look at the hundreds digit, which is a 7, it tells us to round up because it's 5 or higher. So, rounding 1,739 to the nearest thousand gives us 2,000. Now, we can multiply the rounded number by 5.
2,000 × 5 = 10,000
Therefore, by rounding the first factor we estimated the product to be 10,000. If we then find the actual product without rounding:
1,739 × 5 = 8,695
Comparing our rounded estimate and the actual product, we can see that rounding to the nearest thousand gives us an overestimation in this case.