![]() ![]() There are standards for both larger and smaller exponents, but this table is something that should be committed to memory as they are in wide use. ExponentĪ partial list of exponents, their names, and abbreviations is shown in Table 1.3.1 NANO- is defined as Prefix for 10 to the -9th Power. : Common engineering notation prefixes and abbreviations. How is Prefix for 10 to the -9th Power abbreviated NANO- stands for Prefix for 10 to the -9th Power. In this set of activities, students develop their understanding of a variety of key concepts relating to chemistry at an atomic level. Also, \(10^6\), or one million, is Mega, and abbreviated \(M\) (note capital letter). ![]() For example, \(10^3\) or 1000, is kilo which is abbreviated as \(k\). You are probably already familiar with many of them. Each multiple of 3 has a name and abbreviating letter to make the written representation even more compact. Thus, 390000 would be written as either 390E3 or possibly as 0.39E6. With scientific notation, we no longer have to deal with them.Ĭonvert the following numbers into normalized scientific notationĮngineering notation is similar to scientific notation with the caveat that the exponent must by a multiple of 3. Notice the cumbersome and error-prone quantities of trailing and leading zeroes in these examples when using ordinary form. Similarly, dividing the value 0.006 by 50000 yields 6E−3 divided by 5E4, or 1.2E−7 (or in ordinary form 0.00000012). For dividing, divide the mantissas and subtract the exponents. For multiplying, multiply the mantissas and add the exponents. Weight: measured in grams, 1kg is one kilogram 1000 grams approximately 2 lb or 3. Where this notation is particularly useful is when multiplying or dividing. Alternately, it can be converted as 36E1 5E1 yielding 41E1 (the same answer, or 410 in ordinary form). ![]() Then, the precision portions are simply added together. Here is the answer with the math showing you how to convert 10 cm to nm by multiplying 10 by the conversion factor of 107. Therefore, you can multiply 10 cm by 107 to get 10 cm converted to nm. When adding or subtracting values in this form, the first step is to make sure that all of the values have the same exponent. Since a centimeter is 107 larger than a nanometer, it means that the conversion factor for cm to nm is 107. Thus, these two values can be written as 3.6E2 and 2.75E−3. An SI prefix is a prefix, that, when applied to a word, means to multiply that word by a particular power of ten. \).Īs the base of the exponent is always 10, a more compact form replaces the “\(\times 10\)” with “E”. ![]()
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