I'm going over my 4th grader's homework. She has place value math problems. I'm having a problem with this question. In the number 3,024,456, the value of 4 in the hundreds place is _____ times ____ than the value of the other 4. My answer 100 times less than the value of the other 4.
The 4 in the hundreds place is 400
The other 4 is 4,000
400 is 10 times less than 4,000
To determine the answer, let's break down the number 3,024,456. Place value refers to the value of a digit based on its position in the number. In this case, the number has the following place values:
- The first digit from the right is the ones place.
- The second digit from the right is the tens place.
- The third digit from the right is the hundreds place.
- And so on...
In the number 3,024,456, we have two occurrences of the digit 4. One is in the tens place, and the other is in the hundreds place.
The value of the 4 in the hundreds place can be found by multiplying it by its place value (which is 100), while the value of the 4 in the tens place is determined by multiplying it by its place value (which is 10).
Therefore, the value of the 4 in the hundreds place is 4 x 100 = 400, and the value of the 4 in the tens place is 4 x 10 = 40.
Now we can compare the two values. To find how many times greater one value is than the other, we divide the larger value by the smaller value.
In this case, 400 is divided by 40, which equals 10. So, the value of the 4 in the hundreds place is 10 times greater than the value of the 4 in the tens place.
Hence, the answer to the question "In the number 3,024,456, the value of 4 in the hundreds place is _____ times ____ than the value of the other 4" would be "10 times greater than."