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If the concept of scientific notation includes a requirement that the part of a number in scientific notation that is not necessarily a power of 10 be expressed with exactly one significant digit before any decimal point, then the number with the larger exponent can be presumed to be the larger number, because 9.99.... X 10n is necessarily smaller than 10(n+1) for any positive integer 10, since 9.99... is less than 10. Otherwise, the presumption is not warranted, because 20 X 101 is greater than 0.02 X 102

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Q: In comparing two positive numbers expressed in scientific notation can one assume that the number with the greater exponent is automatically the greater number Provide evidence for your answer?
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