Download Final Exam - Arithmetic and Problem Solving | MATH 5001 and more Exams Mathematics in PDF only on Docsity! MATH 5001 Final Exam December 11, 2006 NAME: 1. Find two numbers between 6.55 and 6.5511 and plot all four numbers visibly and distinctly on a number line. (No explanation needed.) 2. Round 49.97 to the nearest tenth and use a number line to help children under- stand why you round the way you do. (No explanation needed.) 3. Give three different fractions that you can legitimately use to describe the shaded region in the figure below. For each fraction, explain why you can use that fraction to describe the shaded region. 1 4. Mary Carson is working on the division problem 358÷ 25. Mary Carson’s work appears below: 25 × 2 50 7 × 50 = 350 7 × 2 = 14 14 R 8 (a)Explain why Mary Carson’s strategy makes sense. (It may help you to work with a story problem). (b) Write equations that correspond to Mary Carson’s work and that demon- strate that 358 ÷ 25 = 14 remainder 8. 2 9. Angela calculates 7 × 48 in the following way: 7 × 5 is 35, × 10 is 350. Now I need to take away 7 × 2, which is 14. So, 350, 340, 336. So the answer is 336. (a) Explain briefly why it makes sense for Angela to solve the problem the way she does. What is the idea behind her strategy? (b) Write a string of equations that incorporate Angela’s ideas. Which prop- erties of arithmetic did Taryn use and where? Write your equations in the following format: 7 × 48 = some expression = some expression ... 5 10. A dance club has ten women and ten men. In each of the following parts, give an explanation clear enough that someone who is not in your class could un- derstand why your method gives the correct answer: (a) How many ways are there to choose one woman and one man to demonstrate a dance step? (b) How many ways are there to pair each woman with a man (so that all ten women and all ten men have a dance partner at the same time)? 6 11. Hurricane Katrina left 80% of New Orleans flooded. If they had the levee sys- tem that is currently being built before the hurricane hit, it would have reduced the flooding (area wise) by 60%. What percent of the city would still have been flooded under the new levee system? 7
