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**What are Place Values? 2nd Grade**

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**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.

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**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.

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**Table of Place values for various positions**

Place (Underlined) Name of Position 1,000 Ones (units) position Tens Hundreds Thousands

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**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

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**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)

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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

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**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.

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**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.

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**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?

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