Directions: prepare for submission the following exercise. Using one of the electronic braille software packages, transcribe into braille the following sentences. Electronic braille generated using a sixkey Perkins emulator is the preferred format.
For your submission, use the following format: braille your name, email, and institution in the top righthand corner in the first space, with runovers in Cell Three. Begin brailling on Line Five.
Submit your braille either via email. Electronic braille (Mac/PCBrailler, Duxbury, Edgar, Megadots, Pokadots) should be sent via email to rgotwals@shodor.org. You can also use the text box at the bottom of this page to submit your work. Simply cut and paste the braille into the box, then click on the "Submit braille" button.
HARD COPY BRAILLE IS DISCOURAGED! We strongly recommend that you use one of many computerbased electronic brailling software packages. All hard copy braille should be sent to:
Mr. Robert Gotwals
The Shodor Education Foundation, Inc.
923 Broad Street Suite 100
Durham, NC 27705
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In 3a/b and r 1/4, the 3 and r are coefficients of the fraction. Explain. 
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Fractions may be expressed in many ways. For example, 2/3 = 8/12; 1/1 = 2/2 = 17/17 = x/x. 
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Use Fig. 3 to name the ordered pairs in quadrants I, II, III, and IV. 
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The uncapitalized letters i, v, x, l, c, d, and m are also used to write Roman numerals. What does each number represent? 
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Are the I's added or subtracted in II, IV, VI? What value do the XX's have in LXX? 
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Read sections I), I)^{2}, and II). 
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Explain how the cardinal number of a set M is the same as the cardinal number of a set N, or #(M) = #(N). 
