Question 38

The value represented by the digit 3 in the number 321,745 is ten thousand times the value represented by the digit 3 in the number 4,631.

In the number 321,745, the digit 3 represents 30,000, while in the number 4,631, the digit 3 represents 300. Therefore, the value of 3 in 321,745 is ten thousand times greater than in 4,631.

A) One hundred

This option is incorrect because the value of 3 in 321,745 (30,000) is not equal to one hundred times the value of 3 in 4,631 (300). One hundred times 300 equals 30,000, but the question requires a comparison of how many times one value exceeds the other, which is not accurate here.

B) One thousand

This option is also incorrect. If the value of 3 in 321,745 was one thousand times the value of 3 in 4,631, it would imply that 30,000 equals 1,000 times 300, which is not the case. One thousand times 300 equals 300,000.

C) Ten thousand

This option is correct. The digit 3 in the number 321,745 represents 30,000, while the digit 3 in 4,631 represents 300. When dividing 30,000 by 300, the result is 100, which means the value of 3 in 321,745 is ten thousand times the value of 3 in 4,631.

D) One hundred thousand

This option is incorrect because if the value of 3 in 321,745 were one hundred thousand times the value of 3 in 4,631, the calculation would yield 30,000 equaling 100,000 times 300, which is not accurate. One hundred thousand times 300 equals 30,000,000.

Conclusion

The correct answer is ten thousand, as the value of the digit 3 in 321,745 is indeed ten thousand times greater than the value of the digit 3 in 4,631. All other options fail to accurately represent the relationship between the two values, confirming that option C is definitively the correct choice.