ScientificNotation

　　Scientific notation is particularly useful when a large number contains many zeroes or needs to be approximated because of its unwieldy size. Approximating quantities in scientific notation can prevent unnecessarily messy calculations. Look at the following expression:　　This is a pretty nasty product to find—even when you’re using a calculator. By approximating each number using scientific notation, we can make the problem a lot easier:　　When we compare this approximation to the actual product, we find that we were less than 1% off. Not too shabby.Also, note the way in which we combined the terms in the last example to make the multiplication a little simpler:　　In general terms:　　Often, this sort of simplification can make your calculations easier.　　Scientific Notation and Calculators　　On many calculators, scientific notation is written differently from what you’ve seen here. Instead of 3.1　1033, your calculator might read 3.1 E33. The capital letter “E” has the same role as the “ 10(power)”, only it’s a little shorter. In general, scientific notation allows you to work with numbers that might either be very tedious to manipulate or too large to fit on your calculator.

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