<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><head></head><div><div><div><span class="Apple-style-span" style="font-size: 18px;"></span></div><div style="font-size: medium; "><div></div><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">Este archivo pueden abrirlo con Excel, Open Office o Google Docs.</span></span></div></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">El primer proyecto que sugerimos sería simplemente repetir el cálculo que mostramos, usando una o más de las aplicaciones que ofrecen las ceibalitas.</span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">Luego, podría ser resolver otros problemas:</span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">- Dados siete de los ocho dígitos en una cédula, calcular el faltante.</span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">- Siempre que haya un error, ¿nos dará mal el cálculo del dígito de control? Justificar la respuesta.</span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; ">- Si transponemos dos dígitos consecutivos, un error muy frecuente, ¿cambiará el dígito de control calculado? ¿Podremos darnos cuenta en ese caso, cuál fue el error y corregirlo?</span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><br></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; ">- ¿Hay otras aplicaciones de los dígitos de control en el mundo real, además de la cédula de identidad?</span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><br></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; ">Para los que quieran profundizar en el tema y hacer otros ejercicios, con gusto les enviaremos el trabajo de Omar Gil y Ricardo Vilaró, que mencionamos en la tabla de cálculo adjunta.</span></div><div style="font-size: 18px; "><span class="Apple-style-span" style="font-size: 18px; "><br></span></div></div><div><div><span class="Apple-style-span" style="font-size: 18px; "><b><font class="Apple-style-span" color="#ff1314">English Text:</font></b></span></div></div><div><font class="Apple-style-span" color="#ff1314"><span class="Apple-style-span" style="font-size: 18px;"><b><br></b></span></font></div><div><div><span class="Apple-style-span" style="font-size: 18px; ">We believe this could be an interesting subject for a project using some of the applications in the Plan Ceibal computers.<br></span></div><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">All of us who live in Uruguay must have, from the age of 45 days, our ID Card containing our name, picture, signature, finger print, date of birth and a number that identifies us for the rest of our lives.</span></span></div><div><div><div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><br></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; ">These are some of the many uses for the ID card:<br><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "></span><br></span></div><blockquote class="webkit-indent-blockquote" style="font-size: medium; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 40px; border-top-style: none; border-right-style: none; border-bottom-style: none; border-left-style: none; border-width: initial; border-color: initial; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; "><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">- To be able to receive Plan Ceibal´s computer. The plan maintains a database where each computer they have delivered is associated to a student or an educator.</span></span></div><div><span class="Apple-style-span" style="font-size: 18px; "><br></span></div><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">- To have a personal account with BPS, Banco de Previsión Social. Anyone working in Uruguay may present the ID card and check that BPS is properly crediting the social benefits that person is entitled to receive. </span></span></div><div><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div><span class="Apple-style-span" style="font-size: 18px; ">- As ID to travel to countries in our region, instead of a passport.</span></div></blockquote><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><br></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; ">Quite frequently we are asked for our ID card number to fill-in a form, This happens at school, at the work place, at shops, at government and private offices. It is very easy for errors to occur.</span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">The control digit, this is the eighth digit, shown to the right of the dash as in this example:</span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><br></span></div></div></div></div></div></div><blockquote class="webkit-indent-blockquote" style="margin: 0 0 0 40px; border: none; padding: 0px;"><div><div><div><div><div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">5.555.555-5</span></span></div></div></div></div></div></div></blockquote><div><div><div><div><div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><br><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">might not be the same that may be calculated using the first seven digits. This is an indication that most probably there was an error when writing down this ID card number.</span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; "><br></span></span></div><div style="font-size: medium; "><span class="Apple-style-span" style="font-size: 18px; "><span style="color: rgb(0, 0, 0); background-color: transparent; font-variant: normal; text-decoration: none; vertical-align: baseline; ">We have prepared this spreadsheet for those interested in learning how this control digit is calculated</span></span><span class="Apple-style-span" style="font-size: 18px; ">:</span></div><div><span class="Apple-style-span" style="font-size: 18px; "><br></span></div></div><div><span class="Apple-style-span" style="font-size: 18px;"></span></div></div></div></div></div></body></html>