Again, count the number of times you move the decimal place to the right in order to make 1.0 x 10? 0.000001 = 10-6.Since we know 0.1 can be express as 10-1, what about 0.000001 ?.Recall that when we divide exponential values, we subtract them 100.= 100 – 101 = 10(0-1) = 10-1 101.What can we say about a value such as: 1.Consider for a moment what a number such as 0.1 means.So we can express very large numbers using the Abformat, how about very small numbers?.When dividing, subtract the indices: 107 / 102 = 10(7-2) = 105 Take note: This can only be done when the bases are the same.When multiplying, simply add the indices (powers): 103 x 104 = 10(3 + 4) = 107.λ = 108m / 107) from the previous slide we must observe some special yet simple practices: When you multiply or divide exponential values, (ie.When dealing with large numbers, or converting between bases, it is helpful to use the base-index (scientific notation) form.The 3 term preceding the base 10 is the coefficient and is generally what you will perform basic arithmetic on, saving exponent math for the base and index 300000000m s-1 300000000m s-00000m s-1 6 5 4 2 3 8 7 1.Given the following constant (the speed of light in a vacuum): how can we express this in terms of base and index? Or re-written as: 3 x 108m s-1.Eg: 10 x 10 x 10 can be expressed as 103.Any number A which is multiplied by itself “b times” can be expressed in the base-index form: Ab.The charge (in Coulombs) of an electron.Is there a more effective method of expressing a large (or small) value such as:.
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Power of ten prefixes full#
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