Show a place value model of4,362
To create a place value model of the number 4,362, we need to understand the concept of place value.
Place value is the value of a digit in a number based on its position. In base-10 (our decimal system), each digit's value is ten times greater than the digit to its right. The positions, from right to left, are ones, tens, hundreds, thousands, and so on.
Now, let's create a place value model for the number 4,362:
4,362 can be broken down into its individual digits: 4, 3, 6, and 2.
Starting from the rightmost digit, which is 2, we place it in the ones place. Then, we move to the left and place the digit 6 in the tens place. The digit 3 goes in the hundreds place, and finally, the digit 4 goes in the thousands place.
Here is the place value model of 4,362:
Thousands Hundreds Tens Ones
4 3 6 2
In this model, you can see each digit's position and value. The digit 2 is in the ones place, so its value is 2. The digit 6 is in the tens place, so its value is 6 multiplied by 10 (60). The digit 3 is in the hundreds place, so its value is 3 multiplied by 100 (300). Finally, the digit 4 is in the thousands place, so its value is 4 multiplied by 1000 (4000).