Question 865065
"the first two digits cannot be 0", but they can be any number in the set {1,2,3,4,5,6,7,8,9}


So you have 9 choices for the first two slots. The remaining 7 slots have 10 choices (0 through 9) since 0 is allowed


So you just multiply all the choices for each slot (this is the <a href="http://www.mathsisfun.com/data/basic-counting-principle.html">counting principle</a> in action)



9*9*10*10*10*10*10*10*10 = 810,000,000



as a shortcut you can compute {{{9^2*10^7}}} to get the same answer. 


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Final Answer: <font color="red">810,000,000</font>



Note: this is the number <font color="red">810 million</font>



Another Note: In scientific notation, the answer is <img src="http://www.sciweavers.org/tex2img.php?eq=8.1%20%5Ctimes%2010%5E%7B8%7D&bc=White&fc=Black&im=jpg&fs=12&ff=arev&edit=0" align="center" border="0" alt="8.1 \times 10^{8}" width="81" height="19" /> Scientific notation is often used for really really large numbers.