Rationale
6 and 950 produce a product closest to 5,678.
Multiplying 6 by 950 gives 5,700, which is only 22 away from 5,678, making it the closest product among the provided options.
A) 5 and 990
Calculating the product of 5 and 990 results in 4,950. This value is 728 less than 5,678, placing it further from the target compared to other options.
B) 6 and 900
The product of 6 and 900 is 5,400. This result is 278 less than 5,678, which makes it closer than option A but still not as close as option C.
C) 6 and 950
As mentioned, multiplying 6 by 950 yields 5,700, which is just 22 away from 5,678. This is the closest product of all the choices, confirming it as the correct answer.
D) 7 and 800
The product of 7 and 800 is 5,600. This result is 78 less than 5,678, making it a reasonable option, but still further from the target compared to option C.
E) 7 and 850
Calculating the product of 7 and 850 results in 5,950. This value is 272 greater than 5,678, placing it further away from the desired number than any other option.
Conclusion
Among the pairs of numbers provided, the multiplication of 6 and 950 results in a product of 5,700, the closest to the target of 5,678. Other combinations yield products that are either significantly higher or lower, making option C the optimal choice for this question.
