MATH 212 Midterm: MATH212_ALL-SECTIONS_FALL2009_0000_MID_EXAM_1

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10 Jan 2019
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The line segment below has length 4/11 units. Show how to subdivide the line segment to show a length of 1/3 unit. Label your subdivisions so it is clear how 4/11 and 1/3 are related. Do not create a segment of length 1 unit. Show all work clearly. (hint: what is the common denominator?) Plot 31/20 and 11/8 on the number line provided below. Plot 1 2/3 and 1 3/5 on the number line provided below. Label the longer tick marks in a way that fits logically with the numbers given and with place value. Add tick marks as needed to that each of the given points falls on a tick mark. Be sure each point is clearly and accurately position with respect to both the endpoints and the immediate neighboring points. Justify your answer without using common denominators, decimals, or cross-multiplication. Draw a picture that helps you solve this problem. Use your picture to help you explain your solution.