Identify patterns in powers of 10 that can be used to calculate more quickly
When you are discussing the patterns that you are noticing, be sure to use the vocabulary below in context:
row | EXPONENTIAL FORM | EXPANDED FORM | STANDARD FORM |
---|---|---|---|
(1) | 10^{3} | ||
(2) | 10^{2} | ||
(3) | 10^{1} | ||
(4) | 10^{0} |
5. Next, use the same pattern you used to establish standard form in row 4, above, to determine standard form in row 5, row 6 and row 7 of the table below. Use a calculator to verify that your responses are correct. (Be sure to write the numbers both in fraction and decimal form when you are completing row 5, row 6 and row 7).
6. Is there a general rule that you could use to describe the result of raising 10 to a negative exponent?
row | EXPONENTIAL FORM | STANDARD FORM (FRACTION) | STANDARD FORM (DECIMAL) |
---|---|---|---|
(5) | 10^{-1} | ||
(6) | 10^{-2} | ||
(7) | 10^{-3} | ||
(8) | 10^{-n} |