ABE Math Tutorials/Whole numbers/Place value
Place value
Whole numbers 
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Reflection
Have you ever thought about what the number "14" means?
First we write down a digit "1", then we write down a digit "4". What does this mean? Does it mean "1 + 4" ? Does it mean "1 x 4" ? Of course not! We realize that the digit "1" doesn't really mean "1" at all; it really stands for "10". The number "14" means one group of 10 plus four ones. 
Words to Know
Now let's consider a bigger number, like 4,971. When we say this number out loud, we can hear what the digits stand for: 4 thousand, nine hundred and seventyone. This means: 4 thousands plus 9 hundreds plus 7 tens (the word "seventy" actually means "seventens") plus one. Mathematically, we say:
This idea, that every digit in a number has its place, is called place value.Now, let's look at an even larger number: 6,408,554 (6 million, fourhundredandeight thousand, five hundred and fiftyfour). To figure out what the place value is of each digit in this number, we can write it down in a table like the one below. 
millions  hundred thousands  ten thousands  thousands  hundreds  tens  ones 
6  4  0  8  5  5  4 
Number 6,408,554
Notice that the last digit in a number always goes in the ones' place; the secondtolast digit always goes in the tens' place; the thirdtolast digit (if there is one) always goes in the hundreds' place; and so on. Look at this number (6,408,554) once again.}}
What is the place value of the 8?: When you look at the table, you can see that the 8 is in the thousands place. What is the place value of the 6?: You can see that the 6 is in the millions place. What is the place value of the 0?:The 0 (zero) is in the tenthousands place. This means that there are no tenthousands in this number, but if we left out the zero, we would get an entirely different number (648,554)!
In the table below, the first three numbers on the righthand side have been separated into their place values. Try writing out the other three numbers into the table (you can print this page off to do this; or just write out the numbers on a piece of scrap paper):
Number
3,469,114
429
70,001
7,280
23
9,879,745
millions  hundred thousands  ten thousands  thousands  hundreds  tens  ones 

3  4  6  9  1  1  4 
4  2  9  
7  0  0  0  1  
Self Assessment
Now try answering the following questions:

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