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Unformatted text preview: M326K Sample Write-ups for Select Problems: Class Activities Handout 1 Problem 1 Make sure you are ready to explain how you determined each entry in the table. (I did the same thing as in the example. is not sufficient explanation although I have to admit that sometimes, Just follow the example. seems to have the desired effect on a student.) For example, you might say To find 6 8, I first find 6 + 8 using the usual addition, then find the units digit of 6 + 8. Since 6 + 8 = 14 and the units digit of 14 is 4, I can conclude that 6 8 = 4. If that seems a bit too wordy, another option might be: 6 + 8 = 14 The units digit of 14 is 4. Therefore, 6 8 = 4. Problem 3 a.) This problem asked for an algebraic definition of an additive identity of a number number. In class, we have concluded that: We need an equation that expresses the idea that an additive identity of a number system is a number in the number system that when any other number is added to that number, it does not change the value of that other number. All the variables must be properly declared. (That is, clearly explain exactly what each of the variables represent.) In this particular case, we need to make clear that an additive identity is a num- ber/object in the given number system, and the other number we are adding it to is another (possibly same) number/object in the same number system. Here are some sample definitions: (Definition 1) A number b in a number system is an additive identity if a + b = a for every number a in the same number system. (Note: you need to explain for which number(s) a is the equation supposed to hold.) (Definition 2) If x is an object in the number system such that x + y = y for all objects y in the same number system, then x is an additive identity in the number system....
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This note was uploaded on 03/19/2008 for the course M 326K taught by Professor Harper during the Spring '08 term at University of Texas at Austin.
- Spring '08