Question 21

The hundreds digit of the product of 12.3789 and 9,999 is 3.

When calculating the product of 12.3789 and 9,999, the result is approximately 123,765.0891. The hundreds digit in this product is 3.

A) 1

The hundreds digit cannot be 1, as the product of 12.3789 and 9,999 is significantly larger than 100. The actual value exceeds 123,000, making 1 an incorrect choice.

B) 3

The hundreds digit is indeed 3, as evidenced by the product of 12.3789 and 9,999 resulting in approximately 123,765.0891, where the digit in the hundreds place is clearly 3.

C) 6

The option of 6 is incorrect because the hundreds digit in the calculated product is not 6. In the number 123,765.0891, the hundreds place is occupied by 3, not 6.

D) 7

Choosing 7 is incorrect as the hundreds digit in the product is not 7. The number 123,765.0891 has 3 in the hundreds place, clearly ruling out 7.

E) 9

The digit 9 cannot be the hundreds digit since the product of 12.3789 and 9,999 results in 123,765.0891, where the hundreds digit is 3, not 9.

Conclusion

The correct answer is 3, as it accurately represents the hundreds digit of the product of 12.3789 and 9,999. All other options fail because they do not correspond to the hundreds place in the resulting product, confirming the precision of the calculation.