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in this lesson i want to give you a basic introduction into scientific notation scientific notation is a useful way to represent very large numbers or very small numbers so lets say if we have the number forty five thousand how can we express this number in scientific notation now you want to move the decimal in between the first two numbers that is between the four and five so im going to move it four units to the left one two three four so forty five thousand is equal to four point five times ten to the four now its important to understand that if this number is positive its associated with a very large number if this is a negative exponent it will be associated with a very small number a number between 0 and 1. so lets work on some more examples try these two examples actually maybe more than two lets say thirty seven fifty five hundred eighty thousand seventy two million and lets say 9.3 billion go ahead and convert these numbers into scientific notation feel free to pause