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Mat/219 Week 4

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Submitted By Funkywonderbean
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Writing in Mathematics
Jeffery Hunt
MAT/219
April 23, 2014
Amanda Manley

Writing in Mathematics
153. Explain the negative exponent rule and give an example. The negative exponent rule is that if the variable is any real number other than 0 and your power is a natural number you can use b-n = 1/bn to remove the negative exponent. An example of this is 9-3. The answer would be 1/729 because using the formula mentioned above would make this 1/9*9*9 which would equal 1/729.

154. How do you know if an exponential expression is simplified? An exponential expression is simplified when the four rules of simplifying are met. These rules are each base occurs only once, no parentheses appear, no powers are raised to powers, and no negative or zero exponents appear.

155. How do you know if a number is written in scientific notation? A number is written in scientific notation with the formula a*10n, where a would be a number between 1 and 10, and n would be an integer.

156. Explain how to convert from scientific to decimal notation and give an example. If the integer is positive move the decimal point to the right that number of places. If the integer is negative move it to the left that number of places. An example of this would be
5.3 * 109 which would equal 5,300,000,000.

157. Explain how to convert from decimal to scientific notation and give an example. If using the number 7,300,000,000,000,000 I would use the formula, a*10n. So first I need to know that a is a number between 1 and 10 and move my decimal point until I find that, which in this case would be 7.3. Then count how many decimals I moved to find my n value. So, this would be 7.3*1015.

158. Describe one advantage of expressing a number in scientific notation over decimal notation. One advantage would be for very large numbers it would be easier to write. Also for using technology this may come in handy.

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