Rationale
6 and 950 yield the product closest to 5,678.
Calculating the products of the given pairs reveals that 6 multiplied by 950 equals 5,700, which is the nearest result to 5,678 compared to the other options.
A) The product of 5 and 990 is 4,950. This value is significantly lower than 5,678, making it less relevant in relation to the target number.
B) Multiplying 6 by 900 gives us 5,400. While closer than option A, this product still falls short of 5,678, indicating that it is not the best choice.
C) The product of 6 and 950 results in 5,700. This is only 22 units away from 5,678, making it the closest option among the choices provided.
D) The multiplication of 7 and 800 yields 5,600. Although this product is near 5,678, it is 78 units away, which is greater than the difference for option C.
E) Finally, 7 multiplied by 850 results in 5,950. This value exceeds 5,678 by 272, positioning it as the least favorable option for proximity to the target number.
Conclusion
In evaluating the products of the pairs, 6 and 950 provide the nearest result to 5,678, with a product of 5,700. The other pairs yield products that either fall short or exceed the target number by larger margins, confirming that option C is the most accurate choice. This exercise illustrates the importance of precise calculations in determining closeness to a specified value.