Answers to c210 Lessons

 Some of the Integer Powers of Ten, power10 1. Here are some factual observations.The bigger the exponent, the bigger the number. If the exponent is positive, the number is a whole number. If the exponent is a negative, the number is a decimal number. For numbers greater than or equal to 1, the number of zeros matches the number in the exponent. For numbers smaller than 1, the number of decimal places matches the number in the exponent. For the thousands, the millions, the billions, the trillions, and the thousandths, there are 3 kinds: 1, 10, and 100. There is only one 1. For all other numbers, there is a large partner to match a small partner with a similar name.

 Writing 2, 3, 4 As Powers of Ten, power10 1. Here are some factual observations. One and 10 are the only number with a power of 10 that are "guessable" -- One and 10 are each in the powers of 10 listed above. None of the other exponents are whole numbers. Each of these exponents is a nonrepeating, nonending decimal. The bigger the number, the bigger the exponent or power of 10. There is now way I could guess the necessary exponent or power of 10 except for that of 1 or 10

 Writing 2, 20, 200 As Powers of Ten, power10 1. Here are some factual observations. The decimal part of the exponents are all the same. The whole number part of the exponent match the number of zeros in the number. 2. Ten to the 4.3010102995... is 20,000.

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