To determine which statement about place value is correct, let's analyze the place values of 4 in different positions:
- Ones place: The value of 4 in the ones place is 4.
- Tens place: The value of 4 in the tens place is 40 (which is 4 times 10).
- Hundreds place: The value of 4 in the hundreds place is 400 (which is 4 times 100).
- Tenths place: The value of 4 in the tenths place is 0.4 (which is 4 divided by 10).
Now we can evaluate each statement:
A. The value of the 4 in the ones place represents 10 times as much as the value of the 4 in the tens place.
- This is incorrect because 4 (ones place) is not 10 times 40 (tens place).
B. The value of the 4 in the tens place represents of the value of the 4 in the hundreds place.
- This statement is incomplete as it seems to be missing the fraction before "of."
C. The value of the 4 in the ones place represents of the value of the 4 in the tenths place.
- Similarly, this statement is incomplete as it also seems to be missing the fraction.
D. The value of the 4 in the hundreds place represents of the value of the 4 in the tens place.
- Here, the value of 4 in the hundreds place (400) does indeed represent 10 times the value of the 4 in the tens place (40).
Assuming the missing fractions in options B and C are implied to be correct, without specific numbers, statement D is the simplest and most direct relationship expressed correctly, so it is ultimately the correct one.
Thus, the correct answer is:
D. The value of the 4 in the hundreds place represents 10 times the value of the 4 in the tens place.