Place Value of 7 in Each Number:

To find the place value of 7 in each number, we will look at the position of the digit 7 in the number and determine its value based on its position.

1. Number: 780
- The digit 7 is in the tens place.
- The place value of 7 in this number is 70.

2. Number: 807
- The digit 7 is in the ones place.
- The place value of 7 in this number is 7.

3. Number: 172
- The digit 7 is not present in this number.
- Therefore, the place value of 7 in this number is 0.

Sum of the Place Values:

To find the sum of the place values, we will add the place value of 7 in each number.

Place value of 7 in 780 = 70
Place value of 7 in 807 = 7
Place value of 7 in 172 = 0

Sum = 70 + 7 + 0 = 77

Therefore, the sum of the place values of 7 in the numbers 780, 807, and 172 is 77.

Explanation:

The place value of a digit in a number tells us the value of that digit based on its position in the number. In a multi-digit number, each digit holds a different place value depending on its position.

In the number 780, the digit 7 is in the tens place, which means its place value is 70. The digit 7 represents 7 tens or 70.

In the number 807, the digit 7 is in the ones place, which means its place value is 7. The digit 7 represents 7 ones.

In the number 172, the digit 7 is not present. When a digit is not present in a number, its place value is 0.

To find the sum of the place values, we simply add the place value of 7 in each number. Adding the place values 70, 7, and 0 gives us a sum of 77.

700 in 780
7 in 807
70 in 172