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Scientific Notation

# Scientific Notation - Scientific Notation When numbers are...

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Scientific Notation When numbers are very large or very small, you should write them in a short-hand form. For example, let's say you have a number like 560,000,000 or 0.0000003. Would you want to write those numbers over and over again? How can you simplify them? First of all, there is the way that the power of 10 works - that you have the following relations - 10 1 = 10 (anything to the power of 1 equals itself) 10 2 = 100 10 3 = 1000 10 4 = 10000 and so forth. You'll notice how the power on the 10 equals the number of zeros after the 1. How do you write 560,000,000? You might notice that this number is also equal to 5.6 x 100,000,000, which can be written as 5.6 x 10 8 . This format is known as scientific notation . What about numbers smaller than 10? How do you write those? Here's how - 10 0 = 1 (any number to the power of 0 = 1) 10 -1 = 0.1 10 -2 = 0.01 10 -3 = 0.001 and so forth. These aren't as easy as the others. In this case, the power on the 10 could represent how many places the decimal point is moved to the left of the 1. Now back to the original question: how do you write 0.0000003 using this? You might note that 0.0000003 is equal to 3 x 0.0000001, which

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Scientific Notation - Scientific Notation When numbers are...

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