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Math Practice

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Learn eighth grade math skills for free! Choose from hundreds of topics including linear equations, geometric transformations, congruence, and more. Start now!

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Negative Exponents

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Civil War

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NMAH | Albert H. Small Documents Gallery - The Gettysburg Address

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The Albert H. Small Documents Gallery, located on the second floor of the National Museum of American History, is devoted to the display of rare and historically significant documents. The gallery features documents that reflect major events and themes in American history from the Smithsonian's collections, public institutions, and private collections.

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Educational Games

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At our educational website, we have hundreds of free, online, learning games for kids. But anyone interested in online learning can use our site -
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Sheppard Software: Fun free online learning games and activities for kids.

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Hundreds of fun educational games and activities for kids to play online. Topics include math, geography, animals, and more.

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Types of Cells

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Similarities and differences between plant an

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Plant Cells

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Scientific Notation

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Scientific Notation Adding and Subtracting - TeacherTube

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Scientific Notation Adding and Subtracting

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Scientific Notation

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Video transcript

We have 7 times 10 to the fifth over 2 times 10 to the negative 2 times 2.5 times 10 to the ninth. So let's try to simplify this a little bit. And I'll start off by trying to simplify this denominator here. So the numerator's just 7 times 10 to the fifth. And the denominator, I just have a bunch of numbers that are being multiplied times each other. So I can do it in any order. So let me swap the order. So I'm going to do over 2 times 2.5 times 10 to the negative 2 times 10 to the ninth. And this is going to be equal to-- so the numerator I haven't changed yet-- 7 times 10 to the fifth over-- and here in the denominator, 2 times-- let me do this in a new color now. 2 times 2.5 is 5. And then 10 to the negative 2 times 10 to the ninth, when you multiply two numbers that are being raised to exponents and have the exact same base-- so it's 10 to the negative 2 times 10 to the negative 9-- we can add the exponents. So this is going to be 10 to the 9 minus 2, or 10 to the seventh. So times 10 to the seventh. And now we can view this as being equal to 7 over 5 times 10 to the fifth over 10 to the seventh. Let me do that in that orange color to keep track of the colors. 10 to the seventh. Now, what is 7 divided by 5? 7 divided by 5 is equal to-- let's see, it's 1 and 2/5, or 1.4. So I'll just write it as 1.4. And then 10 to the fifth divided by 10 to the seventh. So that's going to be the same thing as-- and there's two ways to view this. You could view this as 10 to the fifth times 10 to the negative 7. You add the exponents. You get 10 to the negative 2. Or you say, hey, look, I'm dividing this by this. We have the same base. We can subtract exponents. So it's going to be 10 to the 5 minus 7, which is 10 to the negative 2. So this part right over here is going to simplify to times 10 to the negative 2. Now, are we done? Have we written what we have here in scientific notation? It looks like we have. This value right over here is greater than or equal to 1, but it is less than or equal to 9. It's a digit between 1 and 9, including 1 and 9. And it's being multiplied by 10 to some power. So it looks like we're done. This simplified to 1.4 times 10 to the negative 2.

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Multiplying & dividing in scientific notation

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Subtracting Scientific Notation

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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The site navigation utilizes arrow, enter, escape, and space bar key commands. Left and right arrows move across top level links and expand / close menus in sub levels. Up and Down arrows will open main level menus and toggle through sub tier links. Enter and space open menus and escape closes them as well.