Explanation of the Sum of Place Value and Face Value of 3 in 6 53, 268

In the given number 6 53, 268, we need to find the sum of the place value and face value of the digit 3. To do this, we first need to understand what is meant by the place value and face value of a digit.

Place Value
The place value of a digit in a number is the value of the digit based on its position in the number. For example, in the number 653, the place value of 5 is 50 because it is in the tens place.

Face Value
The face value of a digit in a number is simply the value of the digit itself, regardless of its position in the number. For example, in the number 653, the face value of 5 is 5.

Calculating the Sum of Place Value and Face Value of 3 in 6 53, 268

To find the sum of the place value and face value of 3 in 6 53, 268, we need to locate the digit 3 in the number and then calculate its place value and face value.

The digit 3 appears twice in the number, once in the hundreds place and once in the ones place. Therefore, we need to calculate the place value and face value of both occurrences of the digit 3.

First Occurrence of 3
The first occurrence of 3 is in the hundreds place, which means its place value is 300. The face value of 3 is simply 3. Therefore, the sum of the place value and face value of the first occurrence of 3 is:

300 + 3 = 303

Second Occurrence of 3
The second occurrence of 3 is in the ones place, which means its place value is 3. The face value of 3 is again simply 3. Therefore, the sum of the place value and face value of the second occurrence of 3 is:

3 + 3 = 6

Final Answer
To find the total sum of the place value and face value of 3 in 6 53, 268, we simply add the two sums we calculated above:

303 + 6 = 309

Therefore, the sum of the place value and face value of 3 in 6 53, 268 is 309.