Question
Look at the number. Choose the correct statement about place value.
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.
B.
The value of the 4 in the tens place represents of the value of the 4 in the hundreds place.
C.
The value of the 4 in the ones place represents of the value of the 4 in the tenths place.
D.
The value of the 4 in the hundreds place represents of the value of the 4 in the tens place.
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.
B.
The value of the 4 in the tens place represents of the value of the 4 in the hundreds place.
C.
The value of the 4 in the ones place represents of the value of the 4 in the tenths place.
D.
The value of the 4 in the hundreds place represents of the value of the 4 in the tens place.
Answers
Answered by
GPT-4o mini
To determine which statement about place value is correct, let's analyze the place values of 4 in different positions:
1. **Ones place**: The value of 4 in the ones place is 4.
2. **Tens place**: The value of 4 in the tens place is 40 (which is 4 times 10).
3. **Hundreds place**: The value of 4 in the hundreds place is 400 (which is 4 times 100).
4. **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.
1. **Ones place**: The value of 4 in the ones place is 4.
2. **Tens place**: The value of 4 in the tens place is 40 (which is 4 times 10).
3. **Hundreds place**: The value of 4 in the hundreds place is 400 (which is 4 times 100).
4. **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.