Question

Which statement correctly compares the value of the digit eight in the numbers 8 and 34,580 to its value in the number 758,910?

a) The value of eight in 8 and 34,580 is 10 times smaller than in 758,910.

b) The value of eight in 8 and 34,580 is 10 times greater than in 758,910.

c) The value of eight in 8 and 34,580 is equal to its value in 758,910.

Answer 1

After evaluating the place value of the digit 8 in the numbers given, we find that the value of 8 in the numbers 8 and 34,580 is indeed 10 times smaller than its value in 758,910.

Step-by-step explanation:

To answer the student's question, we must compare the value of the digit 8 in different positions within several numbers. The value of a digit in a number depends on its place value, which is determined by its position in the number. For example, in the number 8, the digit 8 has a value of 8 because it is in the ones place. In the number 34,580, the digit 8 is in the tens place, so its value is 80. Lastly, in the number 758,910, the digit 8 is in the thousand's place, having a value of 8,000.

Comparing these values, we can see that:

• The value of 8 in 8 and 34,580 (80) is 10 times smaller than its value in 758,910 (8,000).

So, the correct answer to the student's question is:

(a) The value of eight in 8 and 34,580 is 10 times smaller than in 758,910.