Question 622293: write the quotation in scientific notation
4,341
Answer by math-vortex(648)   (Show Source):
You can put this solution on YOUR website! Hi, there--
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Scientific notation is a way of writing numbers in terms of a power of ten. It is typically used for very large and very small numbers.
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A number in scientific notation has two parts. The first part is the coefficient. It must be a decimal number greater than or equal to 1 and less than 10. Numbers like 1.0, 4.56, and 9.99 can be coefficients because they are inside the range. Numbers like 10 and 0.67 cannot be coefficients; 10 is too big and 0.67 is too small.
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The second part of a number in scientific notation is the power of ten. This is just the number 10 raised to some power. For example,
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Here is how to write your number in scientific notation:
The first part of scientific notation is a number greater than or equal to 1 and smaller than 10. We will change 4341 to a number in that range by moving the decimal point to the left.
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4341. The original number with its decimal point.
434.1 We've moved it one position to the left, but the number's still too big.
43.41 We've moved it left again, but the number is still too big.
4.341 There we go. 4.341 is close to 4 so it's in the our range (between 1 and 10).
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Notice that we moved the decimal point to the left THREE times, and our new number is much smaller.
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Now we need to multiply 4.341 by some powers of 10 to equal 4,341.
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NOTE: This is important. Every time you move the decimal point to the left one position, you are divided the number by 10. We need to undo "dividing by 10" by "multiplying by 10".
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In your problem we moved the decimal point to the left THREE times. That means we divided by 10 THREE times. So we need to multiply by 10 THREE times to undo our division. This means that
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Lastly, we need to write  as ten raised to a power. This is  , so
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 is  in scientific notation.
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This can be confusing. Feel free to email me if there is any part that I need to explain better.
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Ms.Figgy
math.in.the.vortex@gmail.com
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