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An estimate for the height of Mount Everest is 30000 feet.
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Write this number in scientific notation.
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Scientific notation is used to represent very large or very small numbers.
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Scientific notation will be in the form of a number times 10 to some number that’s the power.
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Now this number needs to be greater than or equal to one, but less than 10.
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So it can be a one.
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It can be larger than one.
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But it needs to be less than 10.
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And the way we find that number is to take whatever number we’re converting and move its decimal point, so that way it is between one and 10.
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So 30000 could be written as 30000.0.
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Now to make 30000 be smaller, we have to move the decimal point to the left.
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If we have to move the decimal point to the left, the exponent will be positive.
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If we will have to move the decimal point to the right, the exponent would be negative.
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So again, we’re moving it to the left.
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So our number for the exponent will be positive.
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So let’s count how many times we have to move our decimal point so that way the number is between one and 10, where it could actually be equal to one.
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But it needs to be less than 10.
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One, two.
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If we would stop here, we would be at three hundreds.
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That’s still not enough.
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So let’s keep going.
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Three and then finally at four, we’re at 3.00000, which is the same thing as 3.0.
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So our number is 3.0.
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And our scientific notation tells us that we need to put times 10 to the positive four power because we moved the decimal place to the left.
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So the exponent should be positive.
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And we moved it four times.
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So we have 3.0 times 10 to the fourth power.
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This would be in scientific notation.
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And we also could just have three times 10 to the fourth power.
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We wouldn’t have to put 3.0 unless we would like to.
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So either of these answers would work.
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We could pick one.