1. What are Place Values? 2nd Grade

2. Definition of Place Value
The position, or place, of a digit in a number written in standard form determines the actual value the digit represents.

3. Definition of Place Value (continued)
In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right.
A number in standard form is separated into groups of three digits using commas. Each of these groups is called a period.

4. Table of Place values for various positions
Place (Underlined)
Name of Position
1,000
Ones (units) position
Tens
Hundreds
Thousands

5. Table of Place Values for various positions (continued)
Place (underlined)
Name of Position
1,000,000
Ten thousands
Hundred thousands
Millions
1,000,000,000
Ten millions
Hundred millions
Billions

6. Example 725 Ones’ Place (There are 5 ones)
Hundreds’ Place (Plus there are 7 hundreds)
Tens’ Place (Plus there are 2 tens)
Ones’ Place (There are 5 ones)

7. Specific Place Values
Numbers, such as 84, have two digits.  Each digit is a different place value.
The left digit is the tens' place.  It tells you that there are 8 tens.
The last or right digit is the ones' place which is 4 in this example.  Therefore, there are 8 sets of 10, plus 4 ones in the number 84. 84
Ones’ Place
Tens’ Place

8. Place Values of Three Digit Numbers
Numbers, such as 784, have three digits.  Each digit is a different place value.  
The first digit is called the hundreds' place.  It tells you how many sets of one hundred are in the number.  The number 784 had seven hundreds. 

9. Place Values of Three Digit Numbers (continued)
The middle digit is the tens' place.  It tells you that there are 8 tens in addition to the seven hundreds. 
The last or right digit is the ones' place which is 4 in this example.  Therefore, there are 7 sets of 100, plus 8 sets of 10, plus 4 ones in the number 784.

10. 254 What place is the 4 in? What place is the 5 in?
Tens’ Place
Hundreds Place
Ones’ Place
What place is the 4 in?
What place is the 5 in?
What place is the 2 in?