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Propósito
<p>Que el estudiante Utilice los números reales, sus operaciones, relaciones y representaciones para analizar procesos infinitos y resolver problemas.</p>
Motivación
<p style="text-align: center;"><strong>Guía 1: Conjunto de los números reales</strong><br></p><p style="text-align: center;"><strong></strong></p><p style="text-align: center;"><img src="/web/uploads/9119/a2012242b6-numeros-reales.png"></p><p>Observar el siguiente vídeo acerca de los <strong>números Reales ( R</strong>)</p><p><a href="https://www.youtube.com/watch?v=7ndKbTX1Vkg">los Números Reales</a><br></p><p><iframe width="500" height="281" src="//www.youtube.com/embed/7ndKbTX1Vkg" frameborder="0" allowfullscreen=""></iframe><br></p>
Explicación
<p style="text-align: center;"><b>Los números Reales</b></p><p>A partir de las necesidades del ser humano surgieron diferentes conjuntos de números. El primer conjunto ideado fue el conjunto de los números naturales o también llamado conjunto de los</p><p>números enteros positivos, que no es otra cosa que los números que utilizamos para contar. Este conjunto lo escribimos como:</p><p><img src="data:image/png;base64,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" alt=""></p><p>El segundo conjunto llamado conjunto de los números enteros se obtiene de unir los naturales con sus opuestos aditivos y el cero; este conjunto se nota así:</p><p><img src="data:image/png;base64,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" alt=""></p><p>El tercer conjunto se denomina números racionales y está formado por todos los números que se pueden expresar como la razón entre dos números enteros. Recuerde que no se puede dividir entre cero. Este conjunto se determina por comprensión así:</p><p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZQAAAAsCAYAAABCK04MAAAgAElEQVR4Ae19B6DP1fv/NdMu2sgme49kS5K+iZQoK4miSEqIllQoGRENmkpllazsvVc2XSN7r+vu1//1es77fO7n6hKV77dff+fe8x5nPOd5nvOc5znrfT4ROC+XiETE0+svgTn5nMhnPibG0/OSgGjEMjyWseGe0YxTfCzzyisTA83zIiAKO28nAD6v7nr/A2dlMo2KNXpieE9AAt/jSU98QiwSEqIZSTzjE4y2OMYlJMQxjGnjTzFtPPhmQBLiY3CKCaJYfAyBJCSIGaJeBV10/xYO+NrU/Vx8ilJ5toz/FkYFdIhUz4NwskNkhgf651DkP+9BKKboDHdPgKdY9zPmSBHMvyEw4pyJMN7oIjVKJWvGIcZMh0yMDIbucfYnk+EMisKd8ZEyPsmsJ3inshYcKm/neDdlrdTn6wTDV6KH9wcwVG5QtjOOuhKKjAkNRbwZExoYEpFIA5FI4xAvI3Emx8wySWaWLL34c9GgnIld/yfDJSDh/nyICM93+nMAxwefD9j/alqPYEr3MyGSUlofdqY8/+BwoX5WZwl0OU99dFag/7ciz9GgiEFSqFKZGl2obenPKU5Tnurey0tRW3Le2XNH4immjnI+kfcE+TjLK9Mkz5Qur/Kdt1Pu882oUn9vIGzUEX/SRifxsaRNNiGBNICGkO7QoYOYPnMamjVpjMIF8qNilTvwes+e2HfgqOMOaU+Md/hotHbR/Ys44MVMoiavd/OnR/gEYXcbwvM9dGceZQucUkpawoJ81D/nLuTO5i0yjGYxydObEPYcYl4SaeFgk0L/eU/nVz/ixfnl+OdRfP4YnbNB0RjE9cFpUMgneWNYopSzDIc8m4WXKSnWOBoTGRHIqEg7K54J9M9oH2Oq1+djqvNzQkSZz8epxMCUKXvgZQQSDV9NdTEwll50Ee9vvv4UN910E0qUKoUyJUugUP78uOHG6xEREYFpcxZa4ZouS4iNZjsSry66fxUHVKFeRnXXu/nTIyRbp3m1Cz+la3flcc7n9jl8+D/ubrQSqzPdLSKcQXw2g0LKbAo4PC6JftEZDvIfR3cYQsmxDotI8dELSYqR/9rAczIoYqQEXmsgmtSyhsVAhWuM8kdOE1xSy1Lh5shrsVv9fpkawTbhk7H5rzjhLGxYsh4DL0NgayREQwbF3pnm7Z7dkYqG4/nnn8ev27aHMPzkoyHOoMxfYGEJ1oA0T0bD8sdsCcG5+PB/gANhcuLlxd0VIbn1XnKVknctyKXT6D4kdvbsczP4n+vOKNMOezdjIY3gvGvZ5IV1OpPTLyI9D/65BF/E7Hw5cM4GJYa1H29aMkmqZCh20Q+athIt+n+Npr1HoHWv7/HUG1+hVc/P8USfr9D3xyWQCj5Kr2Ymp5GArVUQVDRhxksRJ9C02PRSEnyX+s9dbbOAFDuNlH9OugsHYaPRBON9a2Z6WzOh7CfEaUQFDBnc14zG558Ot3ddlFxuaP8+uPHmrFgVuc0FEKYbyQn+30OHA3z2q6dRqU4v94/ezw75YqzngK9Ok6GAz6Fn1rr7kyKNY2fCyYHurhOmzSj+WZ0Nrs9ZDtaXL+Ac7laeZDRAxt/PIetfTuLLFu7CWTKnNUc966pQ50Wx6HVv8drYonfyQm1eaW0kLxiWlxfvzocZPs8/4C7eeL6IPvsL6uh/jZ6vN38/XVcoXM5oCHTlX8H5nAwKOWQFqmwJgfoa64+cRKfhP6Lwk72R7t7uiCjcBBF5miIiRytEZGmGiKwNEZG7IVJVfA4FG7+Jpz+YiE3HZYIEgzuk4vgseBoJqAHGHeO74h2BlvAvXuLjKdr0cp6RiWoQRo8aBHdraVRCouLjeFc47YwW4+VmzhmLVKki0Ovtd1yAMI9nw9Ab7x0efwTNHn8SJ7zRiufuMNEkmMapINsFvEkQPJ2iMS6OiussguEF6AKi9K8ELamMo6xKTcaRv+oEKSyez1KsUqCSa+9V/0oRS5lwnSfufJScM0+SIk6SdieTZ2adr1fVra9f1ft/qz5N4RB7t3GFVAZ0ix7jA/kRo/YW0C2lqjVJ0a67OpHRXFONI6HO3LoWorwhl+wlFPqPf4hje5cX+qpz8SiW+uG/VTdnYlC4rIQ/W10GciQZ8vL0d+B7jgaFGpaL6XHUlurXj1i0Frkav4yImk8jouILSFenB4o81w93dHgPtTsNRe32A1Gl9dso0rIXIip1oJF5BBGlnkbRZj3x5YKVjn41SGlujgQS6WO1k8qq5EzsOf9wzyzl9EyMY1kaabk/lk3GEhUTeF5Myg0tKoJOXZ7kOsnN2LFd4zA5pXXjrB3bfkXerLegT9/3LEbCpCkyNRgZHQNqMRf+4unUXf7vEIwLj/X/rRJUv6di1WFQD5tK3bxTHsZvhrs7EyqxbiYL1v0wQy8lrLAEbkVP5pTeeiJBxmSR7sXyMb8Mi3/2iiCF5H97kDCLJc2iRu00WY+ckRrZJ4iGwJFMa0vGC4ZLLuPYLox/4gOjvbcsyV4CIP+omycoCSmPsmiKk/EkXUnyodj/rZOcyElmxH853cONi5ch32GxRH/hco4GhVNDicetmKEzVuOquzojoioNRZ3uSFezN4q2HobNjD1Ef5ieG4NtwX0X202fMfNR+dmPEFH8SRqV1risYgsMnTyfKSSEVLzqwbGBHSPtbvxiUX/5ImaGeyl5jRx8Q/AFxLFsefvGhCLudmkBa9euxLUZr8B7/QZaUhMeCYyMBd3KlUttKqz/++/bu9bwrffFRmc7vChg/y3nBUd3CcZF9/dzwCsKNUhTHFKSQYP9U6WZQAU57ZmXP4Dn61lKwBuWP1X2n8iksmUG5EW/2uyfdYY7M4ezwF7+LMD/Sj5hK5qTsPZPkg1nIl0K61SGGdf/CnopFKI68wZEz1aH0mGB93H+rvi/6s7JoFANs5xEfDljCa6qRkNy+wvI0eVL1P9mKTLePwRlGvYHJ6xs9OJZHj7a+I3LI037fsN87RFRsi0uq9oGH01bbLhrxBBD5ft3GxQB9wx1zJRlTlK2C5euwMy5izhMV6/CxbnpMMfUmTNnmMH4+JPhhqeNakxIFB+PXr16Iu0lV+C70aMtPoaEa53JCRavKuuv14/BPtvFC4kpuqAX4tOfLiCnv/t0F+9/zAHfCGM1SrEGmYgD+w/i8cdaolnTpmjR5DE8Tt+ySQu0atISrR5tgbaPPoGOjz+NZ5s9ac/tH2+Dlo+3xNdffO1kwzeWPy4+WQqV/3cqgWTAz/CitsHeFkWayjOO8k3l0/edvmjqaW/awuh/vDF50LiF8eHZx9qg0+Pt8XSTJ9DmsSfQqmUrdH62E78mcJ0tNY/T/RmK/wcEC1NVmPcOJYVquss7aRgZlFjqCqX8pzgvL5Id1V1KusDL+F/B+ZwMigr4aW0krq31PEcZzyJrmw8x4kgUBv26D9ff9xZKN+hlIxOxNUGL69xqq568IR4o8SgyuOV73yGiDI1K0SdRvPlb+GWvluplRaMRHXPKhEtl/R1OZTvmySJrGsiZuMitkah1T20UKVocDzV4DHv27We5mgYTo9VQtZkZmDpNBiU1Pv38W3uXLdH0mNz+nduQ6ZprkKdwcWzYvMnCtItNIyx13NyCv0RL4nbhXUwMPzBVzzkwKM8++yxq1KgBhYe7lIQoPP7i85k54OUpXmtUQe/8yIHD6NLhRXR4qj06P9MJ3Tt0xRudX0Ofbr3wXvdeeK5Ba9wccSku4w7B15/qhOKZ81knZeh7g11BajCBiOh2NmkZPHgwKlWqhAMHDlhea1tnUAwO+N97dW2D7VprjYGm/HDwULSmQX2x3fN4qX1no31gz37o+2ofdHu6Mwpfk8PobV37ETS/u749P9vyaZse89iJZrHB+7PxwOf539yFmQh3XobVjCtDFDN+wk8oXaYMVvyyxt7txAyG/69dbCw/NVedBc7riKNHj2LNmjXYtWt3SE94Y+PT/pl7hHodjkliT9Iow8IsDtgdG4M6vcciomx7pK/VHS/9uAw7mXbwyk245p5XULR+T45QNL+qHR1UYvrSXFNDBJjInVuJ9i0HcIQKuU73T5GmTEekKvoE2n38A6LYOG2ZztIHkqqbkJH3z/7OIOcUKdx1d8mC3MGbprc0zSXDxnTabcJFwUYPPYCrM92AVRs3Y8/+A4jWGg7j3KKajIpTwlN/diOUEV+OMvhsu+YOHtyPuyrdgSuuuBz3PfQQ55UVYRQgmo/O5givMxuU0xW7Vw4snPloAEmX/pxTmPDnvwEnlXpWMMMTyN8EGhIJjobectUqVcaladMj6pQzjhbIiy9XkA260gc9Kbdg7GAbSw2WjLDqxzkF2bMusrBB5biqEe+SakA5rMH5TIoKog2GvQgL8Ul1YBjxOQXHDMqalIJvVqcurcHz6BAv0emLC4p0iJ9WhqZeDh48aEr6AGXhwP792M8Oxr59+7Bn9x5s3/EbDh4+YoW4DgcLCdHDZyHkC1L5etddnm7DrF+QO+Jq9HrmFezbthtlbsyHZvc2cBtAfD6mC8sSyiuuO9zFH6DRI9z0QsOkUZGcppw05WboWHlKTQSCsi2v0eugWKbTLocPHzKaDxzYbzzYT/pF+17633buxM5duzw4x1NfmJvfJe0sTM8qQuV6+vl4ZOch1C1WBQ+Xugsnfj2MR2vWRZlchbFv+x6HRYCnbgHmoewmN3qTvLMMo5PpTH5VprzR5ngkGEoj751rU4IsL2epeJNeUn69e28JQhfLa7EOE60PufQiUO2TU4725LPEo8erXXFD1sxYv9V9VqD1JLVLFWFQwnBzOBEvw8OxUJgYOh7kWe5S/M5ZrqSU1GPuAw3y/8ghjPz2O9S5rz4eeagBpk+dioOHtCBBx2wrV6xAzZp3I3v2W9GgUUMcPqo5JjnPswA/F2ihweNZbxHguVS2XZfKQEziG5Ukg7Tjih/5CfzYNbsRUaEjIqp0QrUun2APh/3qjQ9dtAnp7nwd+eu/TTOi3AplZtEZ4KUFzDj6GI4SVB1zth7Ezfe+wqmv53DdPV0wccM2S8pRNOuaVSVrqnqgt8FNcJeukk9yUnbOGKg4mg1T7nFmQGTEOOLRSIl/TlnF4cDWlShfIDd6D/6YOR3rqZJVMGELgnr5rpDN6zYge5bMaNSgkVMATB+5ZTMqVLidPcXb8VTbVmjU+JEQOsolPJzTm4PjQ8LvTtg1MiNxdHp3QuLzJOAkcdKuIqVJkJFjlBb9NYLS9JuTVW17ltFgONOLx3IP1KyNrBmvQ3S0M46uOhxOEu4oBpxSIOuRltSm6o7xWJxTqnOBMM/0CSdZVozxVbzX8oxq2QhVhdmunTgzpNxWYWlVb2qzSqMaiiZt0jnKaGQIrBoEE+lct4TEE6T/KMNUl0qoOGFpINyFQYIjnLUGZgaII+EEGlFVl+TVcD5FekmT4McovVIyzra7B7w+QSX60ZAP0O+999DisRa48847UbVqVVSpXIW+MqpWqorKFaugQvkqNop9+NFm2LFXo9gAH97NCVcpmsCJZdbOPf/43uquRqicqQgObdqHbo+0w60RV2LH6l9djgCgqFEWgTORUQCfrc3w0Y4r4qrko42aIf/t9+HYcVLFeHFIm2SEgm11Jz8S47nOSWAKP8WKUEfJTqtQhsBNHDcOgwcNwosvPI+7a96F6tWqoFpV0i0eVKmCSuRDhQqVUKJkaZQqUw4/z5hpOVWlwtOcCrV24uBanegxwF1phnTqg8wR6bBxwjL8NPQ7jtJSYcbYKZbddYyS6lhZzQcwZEzj1THl+qqELppyfYrPcezYGsHW+WTbVj0H9R9NuYihNznlKRfqIEp21eGSs52klGd1Kk2QGa9S3A40xou4AH/BlV6IYsc4mvkTCc9VrnSEpNbpSZ3vJxe1LxJ3ly+M1h07WPuwNRXhqI+ceY8lcG1o0O5A6SdGOE8eqq2ERjN6J15WPuVVushvdDDZYi61ES0TiB61GZuuN74RR1vnPoZdO1eh5t3VkSXrrWjerCUaP/gQ0nK3avW77sa27b8xHQFZo+QH2998hnSXZsCTz3RgIJ01YOIn2VGhTCuaTY+6FGe90qBQiRjTyShm1seGTsBVEezBkbBGb3OqqmIn27E1bOFGA6g0gxdsQKqqL+O2ej2ZR4wiLCGgipFnIm0l1IEt2mxL9tr3KA/3GMX1FMIr+STe5yK/zJA1DKbVQYsq1/atk/kJtmivypeY0avlmRexfGeFJdIIqUxmd/O7EnZjBstlcs1pCrEdG+ehbIEc+GzsZGiLAcXL0HTTc6pIUiGDpuR0Xwz7wHqF99x9Dx5r3hyFChZA9erVsGv3Tjz9TGvUq1/HJeTVleBfRbx8yk40yJuxIJ7esBzatw1vvNQBM+fPYl3QQJKl6vXHkif2oSWFSIbSO+OHCaiMKflM/OUa3nMfsme6jkNZcVa4qeno6rCUKrezyWJJMxkUTRhstgyVoDM9UZfXNm59R2CKnO8CrxKMnYqnQGtb6CnyO8ZwYynCOUgUb3CdMVAjYWtiJPPRhXAypcFyGGUyHuDob/7OkliGdtGJEhkNyW0AjPASiGdCLJWqDBPDVZQkSTQl6Pw4Pv2yahmqV61idarevnzq1KmRPn16pE2dBunSpEW6VGmQhsrPx+ctWBTbTzcoYgAZJP7rL5aCZyMYkXjK1cGEET8gf+obMbLnMKydsxoFr7kF/Tu9ITQk3uaEvV6NCl2Mtii+u63pjrxYHN65DJVuL40+n400upxCsgyUHckRuSkZidM5ea5jJQUrODZbQNAno6LQpXM3pCe9njbdL0mf1niQNm1ayEeQ/vD4UePGM7crMUDbynDtS3VB+tVuWIEmM0y7ZdkmlLklD95q9BxORh5FhVsL4rFaDXD00BHXYWQuk127G3jHBJLkjCPlk+1Q8mN6QOus/MzADGSQXDfRLYVrnVa+S3o1Kohneu/iyBdxQrDi4ygR5I/0RQKNU4I6Z5QbKW7JrXcyRGoxJylLUczn6szVlLgu6GothGJZtqxYjPTkZfc+ve1dZscyMa/KUudGsxe23ZxymyDDRtiWneJiRlEGSHUo+aUc2AYiybH0UZgzXMlot8lI/GHagG/OzB1FvXuqICPb/7LlK0I5hwwaYPX6YufurCsGC8VAEIsUKISi+YtZWtOvRiHxsD+lVWLLYGnOdomwYUCgfFWONUIxPbDsW9jru+k/zyGi9LMo2GowFu9zwyYxtf/sVYi443ncVudlMle5GWrE8UZek1YSS2aqkhkh9aamPX7jHlxahesxpdugVpdB2HLSTc0kSMGxXPXIY+Kk7jUVdYJ81/qKCFSpBtRVhtUx33XEi3GVhRsajJAl0Su9cilDbMxe3FOzIp7s0sN2pCncSFci0UykhW98tASBPfPYI1i5fAm6vfQSunbugkkTJuDIYTeHvWHjGmzYtJZF6M+KsrtKSkLOvZ1+lXJ1FadiVa4gAJvXzkPGdBEY9uVXybK4qSwR5lxsbBROnhAnnZPQmdAGBuUhjlByXpuJPTpvfNSkHI52JX8T2ZFI0HllQdkGiWFRp3wehTi8JBNS+GZRFEwnlpnxJ8+0ABmtBhHmVN8a9cWyrGgNTaxieCOuUVGqz8AJLitCBkAQ9OqQ5ZNVjsdC9Z98Ci8+hiPlkydYT24HYhSlN5qyYFMUlp0KJ0byegJrfpnPDkEea1TdXnsNCxcsxPx587hbb6XzK1Zi9cpVrO8VWLF0OZYsXop58xdi1fqN1iaEWxLOfJKsSKYo5LHsRasXm0iZk4KLOxmHB8vdjeqZSyBxRzReeKAVbsuUFQe37xd1pNdB0tWeQg9SRcfIKSlBOrsAE0d9gksuSY3JixcrlE6yfJz8d5It3mmhXPUTx7bmdhlJXoQ1O3JRh9G2Lbf4U+lV5ghk4YIF9POwbOlirFq1wuhfwSmQ5cuXYynpX7psORYsXIyFi5fgBEe5akpCOSSBJjMsjzywDo9kwNPAqn6lZUdk5VTfdnY+h3bri5zpM2LB5NlCnHLnWkyKBsVSUHJIgzo6JylTp6TppdQDdyI6CscCfeGCWLDNRtBgSCgDp3WuU8EIXUFOHh2/hTOF36cM7griyC7KdcIUGM2yJXV+1sQqy/ggXWZdHMu7ZvEC423foR+FYMVGs2setAlJ/0nmY6k0ENRn1GlqG9ZcydRojqrj1UbYgXNGk4GMl9Hw7XM+ZXHLll8NvtMZBM94TduSXSxK0PWx9Zu4Kl06/Dx1ul6VKFRvHdkJvuKKK7F2S6RFSX5VD6UKlkL5EhUsjGjSiVuK1ZPjmdGuqD9wXENhNkGh1xykgMhCimABm7L1GK65jx8ucjH++RHzzSAoudj+zozlXGRvi/z/6WwoGMsYabqd8ZID6QShLYGz6Q+GL929H9dUa8dRSjtkqt0WS9kDNMdEho5woUCEFtMVaCUQI59AhZhWowLh1FwcK0PVb1MnMoYqXEmYU6Kjnq3cgw/VQc5iFbCPykhQjXY+SIg9E62XpKlAG8coUXJn04FBkN+GzKIMlAsWZIMepEp+cwLB0sgcjU5i2VuaOnUq+rz1EjLRoDz1TFuMGz8e48b9iM0bthioUycOYtHCOfhk2BDUrXsfe9pV8d57/bGD8/xyGjarVyr3KEcoudlDiaPhcU41EIafpg5M8bpGFRm5EePHjEYrTgFVIdxPPv0MkVu3Ea9T3Ak3D1u5juAgx2PDllWYPHc2Dp/SeJN/LFP6RdNKJ7jQN2/qNOzY+qs1RP0MQKKm0egOH9mHyRPGoGXTRihfthy6vfwGVq5aa3ECHsO6lOJytcQA9hzV6GVMpU4StdnDnoAlNAJffzMSzZs2xe2lS+GRxg0xYsxYnLDNCeSpunwCJM8eYdTxw6hU9Q5r9KMmT2bg+TkpBMPBZxMz6RQmQ24jTNO6jktfDhyGq6m8530+CcvGzMWNaTJg1LBvjE9SlMbMpFuoYgws+aA2I9iuSXMmYMA7xD01VlIWVqxYxdMbBuGeO6uiXbtnsTTgoVU982mUqhGDaSvKvNrDB+/3Ntrbv9ANJ8I6IqLhj5xw8lMyhp9lUM2zMKt7N6UtxSu3dtYKZInIgAEv9MHubbtQ9Noc6PDok45Ga99utGD5gzyW0V/UTqV/eItmEapCteBFC+ZjwMABqMIZgsIlSnK09QqmUdaOs25Nxqy9svw1v+CHcWMoG01QtUpVvP/BB1jBMDmCI28InngfP7yTnYa5/NmJOJykgRo3dqzt1qtcuSq+ZIfutx1uLeSURjDW2yF9AQOkKdjdDNXPgp/HomTB/NjMdbcNmzZj0JCPUIuzGi8//wIWz3HHMqkV2Hc48TImJ9hepN+IE3kSz46BfvaDk2yOFsk+vdvcA3z11Ve4+eabMWPGDJHBdOIh81P21PZcf00SE4d7alW1NWJNl7tIN7JXvonfD0OaNGnw3dS5ASmS7Cjkzl0cpUrfrSQMF4Ps0S7imepAPizY4lK6RASiYXEOQWbl0EtoC8Xu3y5E6jtpUEq2R89RrpehMsWg3tOX0dA8gYL3Ps8Cg+IYZ3pe9LDxSDlrWKZebAyVvAaT206ewgMvf2HGKF2V1li4a5+Vz7kDCpKzyjY/7ELP6yrB1vCYhdNTuRAf1zgdfg89cD8iLr0Bu05oco+OeIkee2ReTTW5XgErlZNi8bZG4eLdVZSqFFfh1tsJj7ZnlRUA/V0c0QrK8FNe0dHR6NChA+69+y5kTBOBipXKo+ljzdG0SWP8RKMit3LlIlMKmvdu8dhjnIJrhpIliyF//oLYucct1ApjuYY170GejJlYjckNimucTKC5NPGIbtmi6cic+QaUKVcezZo9Rt8cxYsWRr68edD26VZIe1kmjJu9yNLq0qlzG0RccTUW/xocNyPDLSVJt2L+fKSmIh3Q7117F98lipvWLkb1GlWR6ZYsZgQea9YM995Ti/Rchm9GTQhSyXA4mWNzIZOIHxua+Eu1yDSs16gTaP8cdwmmS4+77q5FXJuZz50nF2Glxabtuw2Wkmv0RYGz948H9Ucq5nmi62suXtBY76oHTUM4c8s8VMQ2uiE5ukuPCIQUm8TEO1+74qctBhNGHGVXTqOQKkVK49FKdRG1/TjqFa+IuiWq48heV0fR5L3Ni6sMy8EL4Usx8GaK1N4ZK8qV6r2e3bieUx7d3ngP13LqrOHDjWA8rF0Tl1x2JcZOmmaQdOrEKXamNA1pgs/Qrb+uRu7smVGyVFls/c19oOumVFyrEM1yIZkMFJWt0wV0i0bXJiwp8RJuQth5i3dRaFHtAZTPlA/7t+5Bl8btkC1tJuxcF8gK5URTWVaW8psPMgY3q29NWZEG8UOuQ0d2PilX1avXQDNOPT/Gjk/t2v+hIsyLX35Z5RIx9fTxo5Ce03blylckf5rSN0eFihWRmkp06PDhOB7DiV1HLtYun4Wct96Il3r2QP36D6JwwUJo2pR5CD9H9mwoWqQQNm3aRJnkiE+CoAqy+nDyIi0gp473ax1boX6dmhj38wRkypqLU+EPWTuqWq6MTYUNHv6Z6SB1ku20dXV+xTrLHyBk0H5/2b9/D2699Va8/fbboUiVHGPTgJQl1Y2aMt+PHliL0hXKok6LpyxcFkvTfDbqYaf72EGuAZMfDzzVmXLCPMyYyP25+QpXQt1HgzUU0agCAq+b9IrXLXw8q4sQOU60gnRqxLL2rFCZlXo9RiCiPD9krPwSBk50Q24NWzXh0mv6EhqU5ihSu4Ox2iAQUTHL6oCAtchkC0iM1E4iDRSl5t4ex+mykq1x6V0d8fM219gS2WuO5+KwvpoXIbMWr8ITz72GZh3eQAv2eFp06osWXfrh8a7yen4XzV58D0069UPDdj3R7s0hWEvlasbZVZfJPDsBIfdQ/QeQLX8Z7ONUngWb9QtFn/Ygrl8Y56e9/F2l/LZhJfJddyVG/fB9skLFw6R9x+MAACAASURBVL17d7On8iViotVTd27Xrh24447yuO++B3HkGKdAAjofrXUvctOgxJlBUaAap6lpJyeWLhGb1i1Dtsw34ZFHGmEvdzl5t2NbJJ5v19IacZb8JTBr7a8+Cl1faov0mbNj0Y5gBxDlhNVlbu0yfpfEhv9+/3fs3clsFJrXq4U8txXGpLl+yobRbIjPcXvz1Zlu5IhnLgOkpNRL05Okkq1Exsq6X5zsOn4U99SojsxZM+PjYcM4TaA0znV6vi2uvDYztu8PdrEw2KYLOIUn92ybVkbL1qNJvLOIc7iIVSLP9InxzakVtRkfpmBTFkRpcLfe5EEa/DJrFX766HvkTH0VJn0+jimoBOiFke0MVCbvSbQeBdMpKgVYCcx0FF1aPcIF1mxIc01WfPjxZ0zlXGLCcdxZvTKKlamCXZyKFj5Uf5QDQpFc0y1bMMVoHzjkQ5fpT1xNaUm4HMgQ2v5BP0InN/G7H5Et4hp8+84wrJyzFLmvvBF9unLdSI68EU4Gi68BKIs6/aJpO2dMgbatn+Ci8RV4/+PhNlXq06p+16xZFwqbPW08rr48A9o/+xx/TiJJDg4fOYx2zzzFtaHUGPmj67yo9P3bV6FCuWLsaKTBo42bIHJLpAeNxZwJyJ0tK9tVHRw4ok8blEPyJi/d5LsgrM9TB1G6cC7cyJPHy1ergD7vD1Zyc0f270aJfFnZkcrJHa5BoNZxaPQlUwqKjj7GTuNIfPn5Z/j++3H44YexmDhxDEcjkzFv7ix2Hh7Cddddh8mTp2DcD+MwijMJR48fM2DauOE2nDhuTp/4Ga675QYM/WGKK4wCEW/rMpS6eO1WjKOxa4gbClbEUVvr49pn/F4UK3sneg362vKINqscISdP0JLEQBotzdkuZlDceETJmJtDZL9IL+Gv1uljrnV0Qrr7euPrBRsdLAqXGZRpNCglm6BY7XbGao+IGozJsyGkSqCQ8yoh4WyrMXPA5NUcoTyN9DVexJgNzqCoXE1NRdOyyn30/WSkuqU8Im6oxONb7kNEvgcQUfAhRBTinvbCHGkU+g/D6iIiO5+vr4Qb73gIUzdstYYrwxUXzIGq8nYePITnOj+PrLT2o6ZMY6MmVmqBdAf37mWvpwkefqQhmrbgR1ktn7IP0No81RJt2rbFk234cVbb9jYP3bZtG/bcW+PJp/ihVquWeOKJJ9C69ZN4nB+stWjxOBo3fhQNHn4Qfd/rY7DPdAnv8fnnjSvmofBNV2PEd99YtgT9IBmn3dx0T8qQevVy0xmbI7eGEjThlFfeTMkNiih1deDk5TiFsm71CtyxVhHHNAVGpzoj+80dP/obbstyKfJwfnXOJjetpogePTrishz5sHDnXpdQdSUG021YtgxZuJtkyPv9XACv3434AldfcRUbyLxQmH84eXQ7bs1yHZ7o3iNQzsKDPS5iqkkFw5gjxBgq1Qfq3s9jcDJjK4+88U5TauJPq4fvRZNW7XCYuEjwRYJbsZNiOY4XnuQZczR0s7gmsOO3HfiNfudv3BbLrbG7uDVW22N37tqJ3fS7GC7/244d2LxpC7bwdOmTnB41J/7wQW8WYvwitoHy3r15J/JenhFdGz3D3uIRLkYXQLNqddmkiBXZJNy05K6ujP6sB+CQtbpxalSjMho+o40jjPVrUDxXVi6cp8Lw73xHQ2kcTjOmTkGatFfi02/d4rl2UGkBWuCF5ezJ3xrt3V99nXT/hi2kbfvOXfasd/HA80G8cH43Nm+JxFrudDzKjoo1E9HKdi/vp2pVhNHOHmRMVAzuL3cnKuYphcT98ehYvyXycd3o8E7Xtv36kmpWRsWcbsGj3u01GJHqeeIP3+IKbhp4d/BHinZOAuqFNAjavetXlCpVFDXvq+dTEU8nCy4gDk0aPYAbb82BLUE7Obl/NapVLoNLrr0BB4LttLbRI4Dwfu+3bbPC7EVebokR8bYRrGGqzskprrnsQSaeqHFJhiswcvQPllvtzLXpOHz9eR/cmrsAZi/f4iCrp836kY4Uhlt+XYFypYvj1qy3ImfOwsib9zbclj8PihUrgjwceaejwcuUKSNnIgpwRJYbufPkZZ5IgyUe2ZS7NqgQp68+eYdTWhGYuixYjDeDoyUByZNbZ6z3YDNccl0BHOU6plwM21fhQsXRvXtPe3cX8tgkkjcjm7VGWEZ2WKqUHn9vUGyqSMLqmnTljkOp+DsjQ713MXJxwBQKlVRdL015lWyaZFBUAsv1azEOASGnpiSnJuPWZobO5AilRBtcdtdL+H7VIRdNQdEIXCMc7SzaejQWPy3ZhrGLf+OHlUcwfsNx/LBJ/gjGbT5EfxA/rT+K8asOYsS8zZiwhoqCc6JRJD6OTNYvL0qwJL9fffctcuXMhmrVK+Eg59pFoWHCtOvXrGJPvwyKFS9m2yVLliqHUiXLoEzpkihduiyFtTznGMvxuQzv3E5ZiuFlSqJMmVJ8LmVpSmqbJX3JkiUNTrPmjR1N53Fdv3QaClyXAV9/7xSH2/hKQWAvXVz0Ljaai8wrl2DOnDlmyHS0vl+wU5pH7uKU17UZOUJxQqNKIQtcdeiBbtv2SFM0HTt3tXczroyz9mohp/Bh72eQO28xzNucZFDefPMFXJrzNizy05S+wphn44qlXIyNwCcfvG8QtOX19e7Po2iZqth/4LgteJ7gyPAY5/Gjju7FscMb0OrxxshR/h5E7gpGSMRBW6BjWXdqLHKD+r5muM5c4BsKa0/l0m1fvxBlc2fGsC9GWJ1KLm1dw8YC7JUlbsNTj7AzQrwK8UPUUqXKoHDhIlygL8xGmh/5bstHGvMgFxtv7ry5kDdPbuRhw82VMyenAjOjarUa2Oin98Qfwpc0h+pDKAbi3b7xk8h32U3YRzns27EnskdchU1z/dl1oksGRVtMNG1iDcXai2AKnoVq/U/GgnIrt3D2PMO9c5du9i5FlUAlEBcrSrkeyRMfRFvv9z+yd4HVlJpT2scx7mu3U/GWLFlQ/PZSXH8ojfyFS5iCypcvHxVYXqeoSHOePHnsOWeuXMh2a3ZOtWTDV18HnRvhI/oDpaqpK62tqG3JDXtzEK4iHosmzMXcsTOQMdUlGP/5aItL4CYXGR6B0I4sHZxoTnmD/Hp3j9qY4OLr17sPV155OY4Fys9JsU9HYEGOOTN+MB4M+uJbgWF9UO4JzGZKAgQ//aifpZnLjRhyMYdW4q6qZdCaH6K6cjWTokVxwQW++YQdadIzddZ0e7cOgBLSm1Gxzt4x7NuzHhkuvRQPNWpi6VSmNmq4LscBRG6eilwFCmPYd5McHPWTtG7KcuK4ZT46eg/27NzKTsxu7Nyxh2ui7NhwF+mWLZupY0rhjZ5v8FupA/ZdkL4N2sEOgTYbaGSinXWa3oyxOR/g0wGunUwNdnfZZwbaUUZ5cr/zxBmnBx9D+itv4yjHyY9I6vL8cyiSvwhP/fgxWJPVOFn1IGKZwOpedaKXs7sIsc83DmdV+WYIaCwBVGr/PkcozyNd7bd4sOMmgyaGCp3eUzlCKd4MRWu3t7QuUkIj60tn5Qu6FyCNUdxenbfHc0GfBuXSqi/g5y1JIxRyisQzBwF4EgThbKQoTrjKa+FfO5gQx4k1Gg6uuqmGDcCWDb+gRNG8aNflVTsh2M01U/hsaiSlEpxwEeyfcOefd+3iibgtYxp8OZILuFYiKVdPNWgUW/fuQl8eRvnAf+7BpRR2Cbx8hjTp8OuWLSEcG9bgFBMNSjz3wTsXZlAMcjTWrVmK1Omzo/eQEZbEtp2S92oQrvBEjP2mL7LlK4qlW5IMSk8alCtzF8KSXcFGCikHVRDd5lVLkT1tBIZ/MMjeY4+vw2NN7sHlGa9FzXvrotZddVH77nqoVq0aFy2roHqFouyBpcNVN5fB2o07LI9ky203Fs6JOHRgH2pzKqHWfQ1wQj19q1/Wq63zAeNGfWW/VTNhyhRXJiVPUwEaE/tRyjMtOKoln376aRK3Dq/B7OlzMH3aDE4jTLYvnMf8+CNGcyF39NhRXNAdjTGjRmEkFelnn36KSYQbS2G0thGIiKpDj1bDxFcva+asRP4rsuDdLm9hx/ptuINfxXdu3MaEWDRp15GSav8Wuzr8Y26GqbGKfQZLQPliRj2o82nTplrv98dxE40+Lerb7jrbpMANCktkUNJh0HBXjw6sZggE7CSmjB5utLfv2BHLVi3HXO7e+nnaTEwhXZMmTcJ4bv744YcfuAFknPkxY8Zg5MiR+HrECHzz7UieJLHXcNNOQtHh+EDYxDMYmGE/T8yoWbgMWt39MKJ2n8S95aqjXqmaOBTIiOjRDixtVfen8hoxQlE+cHrUNmF9PyaFdjdH2oVLVaDxlBzL3DpTI345DUN5oJs0/nNOi12Fr6YttHf7dofA1OfQUprc8lnjUCTTFaTXrUnGHVqNmtXK4s2PkqYQ9RG0thHLfTec5w9SZn6eEexOs0pRrbFkwTTDE43hH/dGVq7lTF+w3PLpVBmb7rcTN/Zj5rRhyMttudMWrbF4U1KsQ83ExCVqGkr+965L1xfZASqE3XuCdcGwJG59i3iwjmW8TgWacvSwt/hBcwQmLv/FpRbOJnHil1kyPFC/KTJmLo2TtpvTTAZ/hXYGLiP/br+jMmazA+MqxXGZBPOVz8aXsMpyJfzuGqHM4cnc0EYVpWVn8Mv2T7gbi1t8K3dF/0lLDYCUjqa83pm2DKmKP841lOcsrUUyzlt5AaYY0UsRWKyRvoOC+fjAiTyCpQ2uqtwBS/YEvVMppxgmVMGkQbTI61XskA+iQnGKF7YycBrUydtuMikB1q6G2gLre7uNHuX02JVcKDyulRwJHYVXnlC010Js9LgaZDUiFUIX3BgdMFuBAV16dE6pFOhTB8HncFuzaCLyX5saX4z8ylJb45XSodv623aULl8GufLmRJ/evTGUc7WjRo3hGVLNcQkFP3LzRkuny8N31UYuftgYFytuCRv35/AS7kcwb9YEXH59GXwyapZLQx5ogdYmJEmz0n73VV9kyVMIizZttzS69OjRCZnyFMOKYCOAMSdQfpFrliPvFenwyaCBlv7AznmoUCYH6jzcAH3eeRfv9HkPfXq9gz59eqFX7554991e6DfgfXw7dipOnGQdkFT1ZEW3GXtCGfP9CFySNjWmzNI6C7FSWbZo6+rv0+HD2PAvxXS/PkPBl+qRTNjiN587Pss5dPJoX/CVuQE6j4vm9K1cla98jj3uOYDzZO2HUeSqW/nDP4l486luyJH+Ghz61SkDM5JUyCJQhs4ZOxIrgukDcAZX00ludMFQjtJe7dqRHx3eye3qPIuCtKt5qEW5Dx6P44OB7yB7vjJYvjGoI6YRPLdZNB5L5kwy2gcMGhxgev43wZOLo0G3KRaV4a0Jw4e80Rc3cN1oG7cJ/zhsNG5Odw2mfTfZ8uhjZVuI55vy2vdPihFQ7/VOZ6+mBLlonXAQle/8D2rVbc5Fca0ZaBI7SQeojl3Lp5x+3g/X3JgDE5euZ5jg0AAJP/5LV8ntXDcf1fPeih/H/2Tv0QeWo0YV7jYc+KmVS+xYx9IDgguMNrmKwJTp7sNOJ1E6FV2fNRCokKG7r3YVZOPIViZPRanpWIeePyUuLdm86b24iVNth7i7w+KIkE3/kU63cPB7g7Jm/ToUoDGZvzAwkIQU7gTHb5H2XBBCy6Z9imzZbkJ/bnQxKjTbRGTEA3Vj1O7r3FsPZao9jBhbg3RatUK1u1CpVl1O/bn1IjKCxFgmZSSeMqQmdeFopPhsBsXFOEE0xWuV6gxKt2/mIVW1Llx8b483x7pGHcVCpLjfnb4CafhxYpF7XzBl70vQLhJjr/AyREgYn+VF6EoiXqjZmxzdPIOryj+FZTuDXV7cEMBVopAxnDBtHkrXeBiF73wExf/TCkXvb4Pi9dqhRL327l73GZSlL35PS+Sv1hB3PdEZs7fusgGgPiSSTIn5YugpNk4h8FDD+3DZzTmwizvNhIsJO5W2TbMQVymiOGVQhXPe0TYoMMw7DdldoyKT2cCkaESuJ1kKQZXrt/z5fOdyXz3/J+S5MgJfjXK9TVvoZXk6kLAop2oKcTptJ4fD4W7owP64nMpyy/rVoeBHa9+PPNfdaN9HKJDU0AsvPYnCY1i7mlMp6bPijf6f8p2h0VTEmmqymlU64Nvh7yE7F+UXRu62nArr2bMrrrglH1b8FtQZ8XPEA5t/WYLsGdLgkwEDlBTRR9fgvrvKonv/D+39bBfVlQy/+Ckexmnxkm7Ih27KZua8+fbu9LLwi8bxI7tQqWIlFChbi1s2g7l69WaJk1IINbnXX3vVRjFffekWHiWsUohWFlNKWqWgJAPuAFGWr6+chQu96txxhPmY1p5DD5zrHzEGWdJchhlfjMOmheuR86rrOQU0xGRLtOj8L5MTCom+HXFtQjCdF44OqGpH5sZ1BKKO7EXh3LeiZYvHLIl2pOl7BnWYpFpjTmxBlhuuxkOPPmbZFawYt6VU8s6R04oFHAWmRWN2PMRjc6KLDUM4eWe0ClctiPPupooDHjGMickzcUlYs4wA2M41kcjLzkvP1i/i5KHjqJS1GJrXfJhtg3nYjiwP4WnLrEYnjh+CRyBh3j0yvThAA6Jpmlq16yJb7mLMx7rgn+rJ2qchrRwKSeR29BFc70iLbydMtZhYrSEJV97UlOWm/fQFrmfH5OfpM+z95P6FPKKoHLoOGGFQJAEyRLrKjfqIHWm2q6kcycpJM6iXz08sBdpZNt7Kclo8H9dANLlsTYHZ1Y4kn3Fxh1C6ZH5ONVayeIUab5lGfFGaPbs3c/faXSjCadgyxYridu4My54rJzJcdhnK3F4exUqW4g6/kihSpDgK8iNb3SPD1ksJxEZEghVzYiMqV74dVeo9QsOnQpwX90TfppXTkD9PPvQZPMKitAYUl3gIhbmp463BrhMrrJTaKjl40bvMiYUr7iyOBkWV4nIqg8vEzOSOYiZFnsCV/3mF017t0e6Tn3GMjFBT1whl4MxfkK70Myh6b2eSk+Q0d2cwSZCgmAiGITeX36FcUrUtYXZA+Rb9sfkot+cyh/Z/xXMeU/0EvX81cTaylKqHm8s3QeZqbZGlRntkvfs5+g707ZCj5jPIUfUpZKv4BDKVeADFHmyLGZE7rPK0+CnhiKdESbDcqCkB9eveiyr3NsJ+9pysglmQphE8phIba2jsiSCeFpvz1Yd53tOChUuwj3fbgcIGIvrU8wxYl3Rnfsd+QT8/t3r+RPbwU2HEKDfl5eriFH7btR5XX58d3d5+3wAmqrEGW9f6vt3DjVA2/hIqrEHN/yBHxutTMCjCW8oqlr/xstYaTMdOL1s+ybcacbwNwV1tdGzxMLIVKIVZNCjKKffWW5SFiMuxdLPrETu+Olo3rV2CDGyEn/E7Ceei8FrXTsiSvzT2ByPCOE7haTefphnFP2FzgnIiZa7y1eDktB1T7sNhmrJJh/mL3OhYp6uI7XJjRzhj8wS/SdB4RbDcdx6qF9ajwUjEb5GbkfOWm5E1cxb8ut1NrSm/nMkIr15VqjOkzoDbnUj8aMHc9JFLr6KFYYACok9Eo0HNe1GtUBnE74tB+/ua4c68ZXEo2Lkog+TaA3Oo16FOkxkVz1EH1wNUZ0Xfjsjt27MLafnVfsvHnrB36XB9ROkkl9MyXw7hFEdqjPh+jMVrWk0KVFN++tiPBbOoKLRr08zq+sNPvrB0umjaRHyU53/IOcPH+qARSfYsAVEepg5XLl2aP40S12XDscgDGNzlHRRNdwu2hzbvsBziq1GJKVKWYkfXq9BwF+CgVqh1Q516INegfj1kyJAeuw8fNRwlESrd1YBSOB7Onzve6Os7aIgC+XErUzJKTUS4slT068NPH8jLBUuW8T0Rx/fMQ5U7SqN9r49MbpRP013GOz5/z48UzaBMdSMUZ1DUPiSrSkwoPOqmItdeW7zQ1XSiylQd+NMsBvbrgXSpIzBz4XLDVJ2FKH7bZSNns3RxOHpkD3eZNUMNflfUokkdXJ/pSlx6xRX84b6W3CTUGPfVq486deujBtdFy91egcfk3MUNI+xUCgfy0aYhrWocz+refSeu5fRVsGOevGcZgXb+5sN3jaa5/HBXTsY7hnM7hYtVxLPPv2lh0u3is+eybNL5uKTDISX4zKy6ltCIsaquSH7AlrNOR6Quyz3lDV/BDG4XlZNFHjR7HdKW74QC/PDRLDTzqs2wS00g9IQhBOXdNkg3EH936kqk5lRXRImn0XvMUsureWUe8sEhPb9BJSKCd4iwNh6IwS/7YrGBI8ON1O8bj4O//AhsDvyvDI+kX7XnFONj7NRjGTsbvIrhwkeVx/+j+yNRsWwJ9PlguB23rzI03ylCrYdGfMVk4apGa1+vEtLwQe8gW46cWLJ6LRMzOeFq9CB+WU9XMOjUHNzOI1JsDVq9fhe5bs1qfPTRh8l+k97lSrpuXsNdXlkyYshQr5AVF8tDCtch0/XZ0OWV3i5xUJ6qvtmjDUxIIrdsCAF6sHYdZMl4A4e1TsiIpsinE6HEm/ifOHEIjerWQjH2fnbudaMNVzsaqnO76fzZ9k1JnhIVMYvfVoiNcgMH9bXyJs9d4AJMStzja91ftLhhHFV4p22QGTJchh49ncC6cIeHT+OqSKacikeBRDbB1rWAD4YMNpgr+BW7OUcIfhozAtdflhq33HQduvd2O+rsiBgm0vEbTomraTgeDO7n8C5YtBhGj3YK2AH842sS/8LSBoHfffglMqbOgBXTlmL1lKUoniELJg4ZFZYw5Udl386e5scffYxVa9dZosCWkn7hzVOtWS9Sam1acy2GLiDdnufMnYtL06dD66fC4iiQ4qUZRy3uBwCXLZ3LRfZbCSsV3uXU4769ewzGuV5UJybrhCfD4KYS2eZmLUWBy27Gp68NxA6eyVclWwm89USXPwZL+du8aT2GDvkA2wMDL6Pt/tQ1ddI2Y+qPPBomDdp17BoGM5wLLvjAge086LAybuNaxV4e3uqdT3lg5zoUui0n7rn/IRw66qbP9m2bz9FFYXR4q29ItqWnrGfP+7dDhxjvJ8+YY+BkSu2YE2Lp6ynmxH6UpT558fW3fJGh+5pVC5EjWxY83PARROkjaiKjzyakWQwvWiVNtasNe7dxw3J+A5MFwz77zAed+S4gVim6CTvHs9GfD8N1l6THxx8PD+VVzHF+w3X/vbU42imBHbvdjINAqM3n5ppo1cq1Lb2TH1cDejZcrSyL/sMLRygSF++lEEU4FTK9muJxNs42PT9B+jL8gaxK7fDWnE2m7BU3ZP4GpKnSDXnrvsYwKVgySRGartCX2NTm6jm6Aaue4kyRF27Bra48uThNxfb4YeVmhqtMMV2ZjYTgalHndVFjEjVytnYikCKK1GzdPB/FCubANz+Nt2qkHTI6pWDjuHqnr+W1o0pDWx00p6yaq65XtTgKFylsVSYmq4eiRiUhscIYoGfn1Rsjrcyns5Vs3pubAyqULYWrrrwKc7mIKqes4V5hp6KOov79NbjLKCeO8atz76J5anCm667HLbdkx4plqy34yKGDeKJZAyoVd/bSpk0bfHLUvKuGlaUPJsOd5E+FmpHl447I5fzo7RbuVivLHWPzgqT83ZsvhqNUodtwa+ZMyMVF0Rn8SE0cVI9/+45tKM4dbkVLlsDiZYssj44/ad/mSfuI66orr0C/YNuwziXSKQBPcmu1FGNbptm5M2mBf9Uv6/BOvwHYxm2s4ql6VWpeprBMFhL4hfQMbi2+hYd0PoQYdm7khn30MS7PkA4vdWyDqhVLoHP3ly1cciuFIOVkPWy1fBl0GzED/fq6HppweaB+AzRv3sI+QGtuH0g24UF6TRlGr3fGPdqkKV586WXs2HfA6sqmO1nJfv3g0M4DKJglOxreURub2Umqka0M6uWrgth1B3F0I08sXrcLO37Ziq0rNmLTsg3YuGwd1i9Yhn1Bp6z5g404AknDqZpJJluxZIId/GeKhh2gQwc4qroFZbmTcNcux7dj3Mbb8623+eNvmdiDbcoP3JIUkjEh7GLKXzJNt3TpUu7aymr1ULZMaUdj8GGoPmYNedL9GLe/N1UYn3VSgureyT0NtQk/A9g4Hql6HwpemRl7qBNa3tmQh0Hy8MsFm3F8x2HsXcet16u3IpLnev26mH7pOmxashKRqzcLHbzz9uuGy8xZTmG7kRnbUXBml5s255rd669wujIVT0NoyqNiNLpwbtHiZXiba3L++6k1a5fzk4AsPOmhEjdbTPDJ+O3W56hwx+3cipufpz9EBuHxHLUuY888N57p3tlkRG1Dh6Zam2eqrwcPNPy+//lnl4dx0m9+hGVKnO2hGKep8hcsiOPHZKjIJ/L71VdftR1zNXia76HD2rru4KqmxD7X8PmgEbQ1xkROfe1E2ZJFeTrwfTbFLfjn7iTnBt2yNKxfl+fSpcHXX7lprJPHT+DeOlw75mkL4yY4elSn3uXjVuWi/DkPOT9D4OPO9/47gyI61KGXQVGPT246v3TNUJnnedV4BTnbDMViroGoaX+4eC0y3PkCCj34mhkNpZUS1zxjDHvoGh5KUKSwDSjje3w/F6mrElbh5qjT80vs5hyGWOEENZxMQTsHJxwNT11cL9cHmS6hhGgRjBQh9tQuVK5QnN8stLQpO0G3Enlx6yZ84AjJKCAjnHBFo2TurChUqJiSEwoNJKec3LH4HMWwJx3H3qBTYqRXhomKTMrXdpsx/fFjR004dVy0dgypTDVQ3Q113r37/ruPcUOmq7kFuaSdgDty5Lc2GtLulGuuzojb8hZGpQo8FbZiBVSvXJ493EHcqlwcy5Yt8SD4Oy8Pcb96Hm5yE7ZJLpmMSpjZDfhlxSIU47xsvttuwx0VynMBuDpysGH2e/s1DB/8JrIULoXpXFw2nqpy6dZzNKQttvny5+MwvBwqF7fuDAAAGMxJREFU81uWHFmyYDJ3S9WvWxd93nvH0mkKSxQeYq+xa5cXcfnll3GLNc8NKl+eX+xWQPHiJZEnXwHM484juWgpVN41RWILpLawGY9+77zNb1muYI+yHKpUqoLMt9xiCunEwUiUKpEfvdnrloui8TJ9R2Stc0OCbf3CaHWcXsJzlxo1bIhUqWWIkw6BlJFJ7l2cPshctd4pwdA0kGkF4OP+Q3F5qrQolSM/avFL9jyX3ISSN+TDA7fXRK3iPL24SEVUKFQO5Qtyi3kBblnOXxSF2Xjbt3rKtlDnzZ4LBfIWYA+W7YX42xSNZIfKwabeyIcfR3+Hm67LhJIliqP87bdze3tFXHPNtejandN8XPc6m3NKj/Imw0qnL7/79+/Pc8EuOY3WcNpJdyrXSUmVNj2GfOLW2CSvtlEiEKJJ/O4l57U3IddVN+Ie0lmYR6wUpK9ZrBLuLlUFVYvyG6fCt+P2AqVRgR8S30HaS/Bbijp31uTgPQYvdmSHkkpv0+Yk3qojoZMyEvhhtdqVNyrvvz8QqVKlQoECBaGjUeSLFCmGHLnyYfW69cTM1e0a/spqLq4/6PuN8neU5+nJlc2IFilShCOhYNOCGMH0kZuWotwdxfHC690lLPo3fWcc5cuoTz+m0b4WP82e46AzPpyfXuFPmfIzj4DPjnLlyuF21o9ObdaHiN26deNxQ+qyunqVCtLpH7b2FMASff48trWrV+CZJ1shcssmy6M68+X5u0WkcNFHnjJM/vzFvTu3sx3WwS0330x5ucNwu+76mzH4w2E4RVmTnKmj613RokVpUIraq6fLx53vPZlBcUqSzCUUMUDMled3SmjQ7ycuzPMIhJrdcX+f7xHJ8I/5BfXldfh7KI/0dMqXeaQM+CkaFQMZQsWbyG8m2LVkamDxnijkajgAEcVa4ZLqbfHd/JUWLsNDqReV9n5eF2UJZRMkGRU2IoEk3tYBsPYkShLQvRun2qg8nnr+RUzm0dyH2bMQEw2MLJDWTghDTDf1yY/qqhYrhKeffjZFtOzsMBbi5olphNjNtvZrAK0Zsje0CZddfjWe6fC8wZDxcdicDpKjtPjD2Ld7KwYOGMitm9/gMHs4vmHpx5W+HzkG/d8ZgJXLluPEcSew+u2DaH5Br/UM0aIfzzl06FBIkfhSvAwZvVL2ms+nO3bsBA8CnMMe35s8Q2wC9uzabeE/jhqC63IWwNR1W+09kQpbw3458e2nSRPwyivdMWfWLBoNtyh+kh9MHuOIxQb3Shv0tint2L9/n21XffPNNzGAC/erVq223+E4zg0SOppHelpyZ4vgNmXjRrU6PmIPh+nvvdsPn3/6OT9AVG9dlXuM+X/jDjG3BhdLxquhaDrSnQPHZxoTW2gXLgHu0Rzp7Nt/gPgcwJ49e3HwwEH+DspewtpnXnjuZ9ge7grbd/gId56rflkkcdMcebzWsIjsto1bMfOnaVjIgw+XTJ6L9fzmZOWMxVj08zzMnjgLU3iq9ZTRkzD5+wmY9P2PmDh6HH78bhx+WbaKBzZGIV+e22x+XPyUsvENXRsSDGeTygT+Zsk+fP/dSG4ueB0//zyVU1Z7LUby6adoBON05+rZ9aplDOUUpt+AEc121zP9Ae8Zvk+e7/soQ8fJK1cO6Sb/lJ8X7InchfmTZmPx5DlYOmUeVk1fzK3Ty8mLuZhPfkz/4WdMGTOJ50dNwGQan8mjfsRkfvi3aPZcbKVhK1KoED8MbuXWhFRvAX/VRtXbtt2X1hFwVAnHWZSzHj164sOPhmEjPzrV6EQHK0oW/EeJ7oejVuHtXm/wy/ORNrI7cYLz40pFHhj6NFbxsYew//BuHKSsKiyWgqcfARStCTxhIvoE2+H+vdyqrnUVxzcpeXmNUnT3PBVu3/Pbsddffx0zZ86kXCVNu8VSXk5pvZawVY6TT+FLLSUFJXp5j406Tt2hs7xcGd6giN96PpuzTrvVjTqxrhOpk8aXsvPU843X8fXXI0IjJUFyrd5BVKczW7Zs/MmCCmcr4pzjkhkU1+DUCMksEmwNPEBgRuRvuLUxP5zhz/he9mBvPD1hA95YfgCXNxmEAs36uNEM80hx2NSAeKVDkAKltW7vUVRux2FksfY8ofhpvPSd299tPLXhmhRi8h71OVHBIq11WWJvUHRnRagChYehRTZqXYPC99qbPWw647nOL2HrdjeVIDBKqOkuqXu/OLdhyTz2MPNj8RK3KLxn9z58/vmX3Lv/o+XQRWVou+spKhopBRNaFm5TaBSYbp2exS2Zc2Azv7oWj8UfUSrUkjuFCEeHjY/TVKDfH+/D3F3pkqBYY0+eIMU3t87DpsPqMdZbKjWl8HIT8PVnvZHp1nyYtmaLg2OKWgu/4lMKTtJKpzh1KKQUbVdToMgt8gwXjdzsYy1mtgVjGhQdwhmv74mE6OnODKJb71GUFL7JLOvBGRRnXMUT0WsjRsmmthyfpzOVJRRUp9QuGnEnxCTx/TzBWfLh3LiQkdOYS1a7zRRSaKeIq3jrDg6k0lHlnIF3UnLW4+Vd/E7JhSsjP7pKKd3ZwgRblMpwqUx9lKgR+Hm50xCcPJGdU3bqRo8dY2BsGkniyIIMZ+oM2yVpDfjsJTllKtllF4Y7887EDStDNFDOrIPGjwolV6JNSl68FBQV6TpBguWgeWrDjYngSRn/kbLXpg59gKi7nK+HpLYqebKSLd7W/yQDNH7hRiUpvSVLdiFFpEntTXlUP4L3eyd9bvQySofK9ubnB/fffz9HvNfYt0i/z3H+Ib8zKNbwAoSMyeSwlKTcTH6PcNuD3EJc7llc0mAg8nWegPT1B6JI28G2NuJSucSqDvWfdUDHkNlrUOiZQVw3aY2Ias/h2U9n2eZUqy7NmdK7oV9QkAN0bldlCWXzBsWNUsRACYhOC7XegHq9KRgtE2JVoipFvSPTsg5or5e7IvdN13PIHIlXuf1U6w1qDPrNjDo862fO7KTtrNpRJmXA6jVYrGUil4BK5UriEW7bNEfYKidJhBTqynICIcMnIXNwYtm4tDnAdkcxndqyM2CWjO9qIPISKtebObuQCztN1ZEXgXQRW/4dpcLgF9iEb2gz1adDeyBTlhyYunK9w90aB40mERD+Dmviw3Btg3QbFNShoMwEeNmZWoaXa1DCzePne3oCrt1Lbged6FMa1iHp1vSHZMPxlXEs1K1fCQN5KV4+maJwceGN1jVM19Acwa6OZIBcL5H8EO7Ww3MM8fw0OowWR2kSjaof8lr5xDAhoH/hzfTKJ+XLG+O8F2Mll841a/AgKtfgzzTrVVGMsHVL5SV/vVHRmorg63c1lFm8cwbTpTubovHyID6LD54vguHlJenucBApzotPqhfKKh9MGRE3ayNCWTAsoZ4dDUYHn139KdDBNAOkVzGF7sOhg7mYfbsd8yJplDzbrA3jxUNNU7qNFczELB53lSn+CgpLD3n7nRO+OVkTbSrMlSX69GumDobkijRwpK3jjCRj0nEiQ4Y8VGcy4vaZgXSBaA/KNEJFr8py/NTd89OHiUaVq3fdzWCx/ny+8PTuWbxk2gCuz+vzq/7O5qwaDEeVqXbDsthmYjkz5J5d2faDfUpMt2oVf4SrZk28+OKL3KQy2sJU7l91yQ2KJMKMiasUY4aYqPoJOnZztu5G4SZvcYG+G3/B8Q1Ogb2DLE0GYDyPQdl17CT2HD2OXdwGvIS/Od91ygqUf2U40tVjuqodkaF+Z7zOoxm0+OUqnGYngYtZOmadEvun6BGsEB9U8c6oSGVb74XRJoQE7itIowkpf5Vn5PFBTd12tlmPUATLAy2bNeECV2oUK1wANbgl74cJ4zGPxzeM5tfsN3IBumyZO7CN0yaGu7vQAEtBS6gkJNyhtu4X7OdZYtYwJWSMs3gVEOacIEm4XKATZhkgKlZTnLwyTjgLTTVENWoV62kTjFC9hcFOehSP1MBkuJRfjUk4uSMaiJ6F6zL4ve5Ie+mVmLIo2GbIstQAhJ6SSbmobFO0EtTgWfz2Dd/j43HSNzWCIWewgmeLt3wWFTQM1iE7Acm38BJfliWFazRYoQ5WrKai9K5rwAfd7Z1YayrJGQ7xUbQon+OXKSHxQYwlDOGvJ5v6FG0KFUzdzQsHplAYK8WUKyOEl5STvjZRNu9dYWzYAsQ0kRs38JToYDs2A2UQTbkpmvnNM7PhHxRqdc0w1bWw8EZWIFNyyiseu/TJZSSl9AoLinJ4qyx6q0vRGcAz3giu6p95pHD9s+hzcis5UZtSfrUD3mWVKHs7d27j5g63W1RpY2lJmYyAlJk4MK15C2SYglmefAgHwlYWlWEj4aAT7OOVR89yLq/4ZtwPjBVNuZQ4k6jYaDOcfNG/4asuserX0amcHnb4ncEGXzwOx1FpvPf89/grXM7H6zXpcwQXHp7H57NMKVzILuOFdUSkX6xs8ZxajV7GWTAEUzpI8XqO4rSrdz7e4+bDz/dOg+KdiQJfUrgriJWuBiRbuWjvYTTsNRLXN6BhKfeS+Stqv4JsdV9B9trdcFOd13Hdw28iTf2XEXHXK0hX9y3U6v8tfgw7wkPipsVs99GSppmcAfDYnPNddePqJ3ggIwmL2NJL3JzgJUtGegK9wVgnUJaLwiOjony27ZlxLZo2sRGJTh49/bckPvqgl8VND84H0tSU+KPdSiYzhBWGHMMknI7DjPi9S4akw9zR4Glx9FjGZGlVngLOzXmeKLWyqUGpoWuawQknU5BBY0cOw3/q1sOqX5N/u+GL9ndjYujFUexf/d2KSPGiFOKTfDi3fJiwc3Vo00F881wN0RwUYuwWkBSclUJirW4N4RQShQV5vP09LMpyexws3BJZCXx18uMwdrjKuBiuTEIJo3e0Oph89oXwHvYYXmTyCKtrwfA+edK/4y0cDz2fjpjCVLpqR2Yy3Is+cUFtwbVEPoXkM+iZWj7VRkC/J8UXzPizO89nZZQzLN1jCtdQ8aE4X2BAg89udx/n7q6kUMYUH0KymCxWwJjbK5tkcUkvSuV9Uui5P/m8nhNJORWjGlKMni+8CzMoKjA5I0OIqCGy96ef09S3pJrl1ya58Zt2o3W/0ajxwghk1I9wFaLyzf8Ivy/hNtE7uIBfuwci7n4XWR7/Ai9P24DBc9fTGJ10w3zml2hpFlxLZvpVxz9FtOcmc7v8qn4pYO/1HlZh4WTyWa+uURAfWnP1tNQrSWQP/sj+najI3RtXXX0dj75w23jVANz3KQlYsWgcbrzhcnzO84/ktP6ieD8LIqtlhkqR6mlTYYtmlel4657dexARehHe3ks96c+9ewgMCD0K4rm6pGxOvYp+j4k1cRkW/YQBR1dy6quZsAa4+fzBq88awiU83j8boBQvPoWD5q4+YVKcnoRDis3DJ/PZUrh7uOLiuToP9vS7xyMEyRLwEsiOw9Q4ZjhzTOYMCoM0dnFSQSzIZ3mlNFgBQAN3OpI+0O66KJf3pyf+6+/JivPgPKKKpHNYmMQQE//npFR8ljERdcknSGVmZH50VSvlUzg5vmAVcFbnWsT51GdycEGh1G3JueiIVKxDTFSo3f0Z54nx95Rh+Ng/V4bD0sNIXoIPdTSdLWXyfH/+LcygCIgQ8OwN7kYlq14LpMEQUXPlEhSNK+R2Uu+MWsEtieOmof+YKeg1fiYeeHcs0t5DI1PjNaSp/jZ/U4XGpforyN1mCJr1HonWbwxDqz6f4tVR0zBz+yEqcwP1N10cHU6kJbZO7By2LEIPgVexEnGJTEg4zbjx4MFvhiMDPxLq1X8wdYVSyCDolFXNfMdj7eJJyMkfLxr+wwS+y1EJc5Si9QOVKqiCbWqZ/NM2WuXUKMAPkTwqDAnhZM+E4JpcEu5KqzDneUuWWXF/5JRBFDtIgqMGLRwtmFH6+kajRvtam0Mtda5OUVE6epTwwjqPmZVyGn3ihDcoKcVfSMw8KuKer4EQrnqwoR1jZVTCeOxwVvvx2EmCxE86GhPfyVAuq5dQOgs4y8UKZbzLeZaEf0OU6GJ5KjLc24unV+1D3iVRoaJResJRqxg5l15vPqcFh2e0gAt7cdgEWITKDt5ZtMVbpTntcGGxudDQPafD7xemzNMMypkK0Tbgo5xPZmMgp6VktHAdzUVcqk8THKEa7nazHmbwwLof1m7Dk4NGIUv9LrjqgVcRUZHbdvM0RsTND/A3TPhbJnkaof2AH23UE57/rz975v2u+TvQgRA5oZcAKT2bP2/xwW9RD+rL88a4AL/glzWWJy7uuJv2M6XBgwu/GmpnRI2f7Q9x066Pk+SNTK0rQFBVhuuNup6ZUy4msgY32cWClUtmSMLMAAcqSKYwxTFNsvAg+ow3wQy8IeAMpOtBJkXJvOgAPBupsSgdCBjNkYpyGmqC78sNAk57TYpX2vN0oTKUzwM2GMJXZi0Mk2Tx51nQWZMLcBi/wsr0MapTPZvzeITffRxTOUXrJEJwHeeZgHKkaVDVqEpzAMPLVeDZnE97tjR/Js5T6eHrHqI2eA6P47MT6mSFuVyiNixtAOYMrEqW/4K+GB7Ci9w3ZHRxusKiQhdrvcnJv6CI/Qnghv+55lNi0X1h3DkZFDce0YeK7J1rdEIeW4dMjYFfhcfTsCiNmrvtWrHKSEJ4P6eSNvAL37l7T6D7yMWo1KY3ijd+HTfr+JXM/8G4xb+6qkxBKJOgnOnJC+vp8Z5xEgg1Wd3DEdOzsOaaB70xWeUzmdvuC7z3RlfcmI1fp3OLnUGTYhXNAZih77yGdOkzYMbKtQbBvrI3YxIYDhfKqzcvehS+AYBQfNiDRQlXYSVhZ4DCzOsiYxLE8elsoBSd5DyfeDccnFoLNygaebpDMmlEtLOE/9rBFceOhFOKAbQQPu5dr8mo8vFJhZ/Tk7Ilq6UQHFeCasvVmCrp9ELPqYhzTOSBe56pPPHNZQ+PDYJcHF/CqytUmML5Imh6CMTMwny4xVkGX2ZSiAWnePFpU4z8C4HhWPkyFOZdCvGecJ+Ed5cjyGf8Ix8FzoIkf97IKoA+SBoG4sI9WnFCRkKu4lW4NJi83vWvv0DWLFAR/0An3M4ZPyUUwRfGhQyKxymlu5C16V7iIRarT2VbAaXvOL1jCo7KVlWh+XarG1oc7aCJYbw7eiVJWUgd6tOf0Ss3oefHI7GbH9ap4nQw5Pk5YeOVTBiTjAghrTAKhITG7npWHl3lXG5nUCQ4DLUkpDD6IFrUvxutn+3AXwJ0VaCDB70xOXlkH8oXzc/twC1wiF8sa6eLrTmIboHRqxUhuPrMT6AZSOWscvkUOD053C3MLkJCvFAuBiha3hgrbBUnOHSW3j2mfFUCDyC4hwyKaz4qzehmtPrP0cRX3x0k6shmzkWqvpNNegmk98GjoSc4cqG48HJdVEpXn1z338GxAB+juhbd4mlS4vD8KcG3sHNK5HN74Cpc3FF58p4eV38e13DQCvPSpnCPp+2MEnWWWG3IrSwovQL1556D8oI3iw67hJfln8Oi/4ZHYfF77zAM0DcigjRmKPgs2RRCgQt7DDIpDTmjbCbHqkv9yXke6zmA6xIq4C84QQ+H558ZzCjVgR2wFAoOMygMc2MrPngw54mJsoX7M2f3COiuHOfp/qCQ8Gj/fJ4lnHPykEH5wxyqc2LjhECNiy9Gv1DUOyuHj0rmHFNKKVkehiiZ0gc3qUWnyH2UFIWa4vk6AQ2QOz2rygwVrBcLsKuPUm4JjlPQooOPdLu2rUHebNdjwKCBLoDhZjvdG55/rgN/+jMjFi11x4bYh5BqXPy3Nsb0DpTDL6mcJA4FoHgLCg0FuDwhhik6lERxXmWFMvzBgwdw+t2BNdBBlOrX4co4WU+9hEL+oJjfRYeX97vIcw8IISjeyRtSYTw5d1DnnjIcdz6bIPuw5FBOD/X8C6UKEoi3Sc5NfSUPUayHFh6TlOvCP4WXH/58eslhceLNHznjHzljSXVRPfp84RxTmPd/BPRc4j2s8LvLp/pIGoEoPhyP02Ar+oK53+N2wYq6wIDP3aBcYET+m+CdILHEkJBIQXMcxVGW9r/L/bZjI3LnuBndunayd3+J5i+dvfW2+73pV157zYIlhl4kXLqzCKYHdPF+kQMXOXCRA/8yDlw0KFah6i1xhMQhuTukkqMtDkd69uhqi+4DePT59GnTMHHiBDto7eZbbkYnfmGqk15lOnxfK2SfztbT+ZcJ0EVyLnLgIgcucsBz4KJBMU7ILMigcPKLix/6slRTeHv3/oruL72AyhUrIFeObLjzzjt5zHczTJ8x3XLJgGit4aJBMXZcvFzkwEUO/H/Ogf8vDYqboGLNh4YUenBmwRkUGhb71kSGhh9x8sTf1Tz75lRU0mGEZkw4PXbRoBiLLl4ucuAiBy5yAP+fGpSUap6LpJzmsikvWgvbvaZdKactOOoMHC3i6zsNWylRWoLz3iAne0mprIthFzlwkQMXOfDv48BFg/Lvq9OLFF3kwEUOXOTA/4QD/w9K9MM7ajjw9gAAAABJRU5ErkJggg==" alt=""></p><p>Existe un cuarto conjunto llamado números irracionales que está formado por aquellos números que no se pueden expresar como el cociente de dos números enteros. Este se nota con la letra I. Algunos números irracionales son:</p><p><img src="/web/uploads/9119/38fd90ca96-real-4.jpg"></p><p>el siguiente esquema muestra la clasificación del conjunto de los números reales/ Gráficamente<br></p><p style="text-align: center;"><img src="/web/uploads/9119/5b4d393993-reales-2.jpg"></p><p><br></p><p><br></p>
Ejercicios
<p>Observe y analice el diagrama dado, que</p><p>Muestra la relación de contenencia entre los conjuntos numéricos. Coloque dentro de cada cuadro al menos 4 ejemplos de números racionales, irracionales, naturales, enteros según su ubicación.</p><p><img src="http://sinapsis.club/web/uploads/9119/06776eea70-reales-3.jpg"></p><p>Basándose en el diagrama anterior complete</p><p>Las expresiones dadas con los signos ? (contenido) o = (igual) según la relación entre los conjuntos dados sea de contenencia o de igualdad.</p><p><img src="http://sinapsis.club/web/uploads/9119/5d0ae25e14-reales-4.jpg"></p><p>3. Determine si la afirmación es verdadera (V) o falsa (F). En todos los casos, justifique su respuesta.</p><table><tbody><tr><td><p>• Todos los números racionales son también números enteros.</p></td><td><p>( v)</p></td></tr><tr><td><p>• Algunos números enteros son irracionales.</p></td><td><p>(f)</p></td></tr><tr><td><p>• Todos los números racionales son también números reales.</p></td><td><p>( f)</p></td></tr><tr><td><p>• El 0 es unnúmero entero, pero no es un número racional.</p></td><td><p>(f )</p></td></tr><tr><td><p>• Todos los números reales son también números irracionales.</p></td><td><p>( f)</p></td></tr></tbody></table>
Evidencia
Evaluación
<p>La <b>evaluación es formativa e integral</b>, por lo tanto, se tendrá en cuenta:</p> <ul><li><b>1.</b>La presentación del trabajo sea impecable y muestra su dedicación.</li> <li><b>2.</b><b>Participación</b>, realizando preguntas al profesor y retroalimentando los conocimientos.</li> <li><b>3.</b>Realización de todas las actividades de manera <b>responsable y puntual.</b></li> <li><b>4.</b><b>La apropiación, reflexión y retroalimentación</b> de los saberes comprendidos en el taller.<b></b></li></ul> <p><b>¿Cómo presentar el trabajo?</b></p> <ul><li><b>1.</b>Se debe resolver en hoja block cuadriculadas o en el cuaderno, donde más facilite.<b></b></li> <li><b>2.</b>Fecha de entrega será estipulada por el profesor. Preferiblemente en <b>PDF</b> como se muestra en el tutorial adjunto por el profesor.<b></b></li> <li><b>3.</b>El trabajo se recibe el día de la fecha de entrega.<b></b></li></ul> <p><b>Forma de entrega:</b></p><p>Plataforma <b>Sinapsis </b>en la pestaña <b>Tarea, </b>o al <b>correo: wnaranjodeo@gmail.com o al WhatsApp: </b>3123624081</p>
Bibliografía
<p>Vamos aprender Matemáticas 9°. Texto Ministerio de Educación<o:p></o:p></p>
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