To determine which product is closest to 30,000, we will need to calculate the value of each product and then compare each result's deviation from 30,000. Let's proceed with the calculation for each option:
Option A: 1500 x 200
To calculate this product, we multiply 1500 by 200:
1500 x 200 = 300,000
Option B: 1500 x 25
Now we will multiply 1500 by 25:
1500 x 25 = 37,500
Option C: 998 x 25
Next, we multiply 998 by 25:
998 x 25 = 24,950
Option D: 998 x 31
Finally, we multiply 998 by 31:
998 x 31 = 30,938
Now we examine the results:
- Option A gives us a product of 300,000, which is off from 30,000 by an absolute difference of 270,000.
- Option B gives us 37,500, which has an absolute difference of 7,500 from 30,000.
- Option C yields 24,950, which has an absolute difference of 5,050 from 30,000.
- Option D results in 30,938, which has an absolute difference of 938 from 30,000.
To find which is the closest, we look for the smallest absolute difference. Among the absolute differences (270,000 for A, 7,500 for B, 5,050 for C, and 938 for D), the smallest difference is 938.
Since the smallest difference is associated with the product of option D (30,938), Suman was correct in choosing option D. The product that is closest to 30,000 is the one from option D: 998 x 31.
