Place Value
| Math is Fun! Place Value |
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| Home | Place Value | Addition | Subtraction | Multiplication | Division | Now You Try! |
| In second grade you learned about place value. In third grade, we will learn about place value up to the hundred thousands place. We will also learn place value from tenths to thousandths place. When you see the -ths added to the end of place value words then you know those numbers are behind the decimal, or to the right of the decimal. |
| Place value is the value of each digit in a number, based on the location of the digit. |  |
| Digits are the symbols 1, 2, 3, 4, 5, 6, 7, 8, and 9. |  |
| There are many ways to write numbers. | For this example we will use the number 8, 397. |
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| Standard form is the way to write a number using digits, with each digit having a place value. | Standard Form: 8, 397 | |
| Expanded form is the way to write a number showing the value of each digit. | Expanded Form: 8,000 + 300 + 90 + 7 | |
| Word form is the way to write a number using words. In word form you will write the number the way you say it. | Word Form: Eight thousand, three hundred ninety-seven |
Look at this place value chart. It has six digits and a comma.  Now, lets look at the ways we can write and say this number. Standard form: 347,261 Expanded form: 300,000 + 40,000 + 7,000 + 200 + 60 + 1 Word form: three hundred forty-seven thousand, two hundred sixty-one |
Look at this place value chart. It has six digits and a decimal. Now lets look at the ways we can write and say this number. Standard form: 257.468 Expanded form: 200 + 50 + 7 + .4 + .06 + .008 Word form: two hundred fifty-seven and four hundred sixty-eight thousandths |
| Now we can compare
the numbers listed in the two tables. They both have six digits
in them. One has a comma and one has a decimal. The two
numbers are not equal. 347,261 > 257.468 If you had 347,261 marbles, that would be a lot of marbles. But if you had 257.468 marbles, it would be a lot less. That decimal tells us that we don't have a whole marble. That number means that you have 257 marbles and one that is broken into 468 pieces. Any number behind the decimal means it is not one whole. It is part of a whole, but not one whole. Go to the Now You Try! page for a chance to practice using your place value skills. |