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Answers to c210 Lessons



Some of the Integer Powers of Ten, power10 Last Class
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 Last Class
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 Last Class
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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