Part 1. Using a birthdate in the following format: 7/10/98 (mm/dd/yy), let a= the one or two digit month number. Let b= the negative of the one or two digit day number, and. Let c= the two-digit year number, the last two numbers of the year and in this case 98. Part 2. Use the following expressions: a for parts 3-5. Part 3. Evaluate the three given expressions using the a, b, and c from your birth date. Make sure that b is negative when you plug in the values Part 4. After you have your math worked out on scratch paper, go back and verbally describe the steps you took to evaluate the expressions. Make sure to use each of the vocabulary words at least once in your writing. Did you notice anything interesting about the results of and ? Was this coincidence or do you think there is a reason for this? Part 5. Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): Exponent, Integer, Variable, Lowest terms, and Divisor

Expert Answers

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Given the question as written, a=7, b=-10, c=98.

I've seen this problem before used to teach a number of common families of equations, and if they are not the equations given by your teacher, then I suggest that you ask for clarification. The equations I've seen in the context of this "birthday problem" are as follows:

1.) a^3 - b^3 (this is called the difference of cubes, and can be expanded, as shown in the following line)


= (17)*(343-70-1000)

2.) b-c



3.) 2b-a



Note: the caret symbol (^) is used to represent an exponent.

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