The value represented by the digit 3 in the number 321,745 is how many × the value represented by the digit 3 in the number 4,631 ?
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 is in the ten-thousands place, which represents 30,000. In the number 4,631, the digit 3 is in the tens place, representing 30. Thus, 30,000 is ten thousand times greater than 30.
The value of the digit 3 in 4,631 is 30, not 100. Therefore, this option does not accurately represent the multiplication factor between the two values since 30,000 divided by 30 equals 1,000, not 100.
While the digit 3 in 4,631 is indeed 30, dividing 30,000 by 30 results in 1,000. However, this answer does not reflect the correct relationship between the two values, as we are specifically looking for the factor of ten thousand.
The digit 3 in 321,745 represents 30,000 and the digit 3 in 4,631 represents 30. Therefore, 30,000 divided by 30 equals 1,000, which indicates that the value represented by the digit 3 in 321,745 is ten thousand times the value represented by the digit 3 in 4,631.
This option suggests that the value of the digit 3 in 321,745 is 100,000 times that of the digit 3 in 4,631, which is incorrect. Since 30,000 is not even close to being 100,000 times 30, this choice misrepresents the relationship entirely.
The analysis shows that the digit 3 in 321,745 holds a value of 30,000, while the digit 3 in 4,631 holds a value of 30. The correct relationship is that the value in 321,745 is ten thousand times greater than that in 4,631, which is accurately reflected in option C. All other choices fail to correctly articulate the comparative values.
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