11-23-2009Review for Exam IIIExample Problems:1. Draw the colored counters diagram which illustrates the following problems.(a) (−4) + 6(b) 5 − (−3)(c) (−5) − (−3)2. Carefully illustrate the following computations in the number line mo del.(a) 3 + 4(b) −4 + 5(c) −3 − 4(d) 2 − (−3)(e) −1 − (−3)3. Carefully describe the mailtime stories which model the following arithmetic prob-lems.(a) 41 + (−7)(b) 41 − 7(c) 20 − (−15)(d) −20 − 154. Carefully describe the mailtime stories which model the following arithmetic prob-lems.(a) 2 · (−4) + 3 · 7(b) 3 · (−5) − 3 · 8(c) 4 · 5 − 7 · (−21)5. Compute the following:(a) 5 +129(b) 7 −129(c) 8 ×1256. In arithmetic with integers the following property is true: if a × b = 0, at least oneof a and b is zero. Is this true in 12 hour clock arithmetic? If it is, explain. If it isnot true provide a counterexample.7. Use the multiplication table on page 331 to compute the following. If an answerdoes not exist, explain why.(a) 10 ÷127(b) 10 ÷122(c) 10 ÷1228. For each of the following pairs of fractions, use the test we described in class todetermine which of the fractions is the smaller. Show your work!(a)516,1132(b)78,79(c)1011,1113.9. Show that the fractionsab<cdare equivalent when ad < bc.10. Represent the fractions 3/4 and 5/8 in the colored regions, sets, fraction strips, andnumber line models.11. Illustrate the following computations in the colored regions, fractions strips, andnumber lines models:(a)32+34(b) 335− 212. Convert103to a mixed number and 323to an improper fraction. Show all your workand then illustrate your work with one of the models from class.13. Perform the following fraction computations. Show your work as if you were pre-senting the problem to a 4th grade classroom. That is, explain each step and usemodels if appropriate.(a)23+12(b)56−34(c) Convert 235to an improper fraction.(d) Convert173to a mixed
View Full Document
Unlocking...