Type your answers in red in the space provided. Where \"chips\" are needed to illustrate your answers, just copy/paste from here: You should first view the lesson and view the video on the Colored Chip Model for Integers linked from the class webpage. http://www.learner.org/courses/learningmath/number/session4/part_c/index.html Let yellow represent positive and red represent negative. One yellow chip (+) and one red chip (-) cancel each other out (i.e. form a "zero pair" and equal zero). 1. What integer is represented by three red chips? ________ What integer is represented by five yellow chips? _______ What integer is represented by three red chips and two yellow chips? ______ 2. As with whole numbers, we can think of addition as meaning "combine and count." Illustrate the problems below using the chip model and use cancellation of "zero pairs" where necessary to arrive at the correct sum: 2 + 3 = ________ -2 + (-5) = ________ -4 + 1 = ________ 3. Represent the integer 4 using your chips. Note that this is not the ONLY way to represent 4. Model the integer 4 two more ways by including zero pairs. (Each set should still represent 4.) Integers Activity 4. page 2 MAT 208/Georgia Military College If we wanted to subtract -2 from 4, we would want to "take away" two red chips from our representation of 4. If 4 is represented by 4 yellow chips there are no red chips to take away. So we include 2 zero pairs in our representation, thus we have 2 red chips to take away! If we take away 2 red chips, what is left? ___________________ What does this suggest that the answer to 4 - (-2) should be? ______ Use this technique to solve the following. Include illustrations. -4 - (-3) = _______ 5. 1 - 3 = _________ -3 - 5 = ________ If we think of multiplication in terms of the "set of sets" model, we would represent the product 3 (-3) as three groups of 3 red chips (a total of 9 red chips). This suggests that 3 (-3) = -9. Use this technique to solve the following. Include illustrations. 4 3 = _______ 6. 5 (-1) = _______ 3 (-2) = _______ Use the fact that -2 4 means to remove 2 groups of 4 yellow chips. Give a complete explanation and illustrate how you would determine this product using the chips. (There is an example like this on the video.)