-->

الرياضيات والانترنيت

"الرياضيات والإنترنت" تجمع بين عالم الرياضيات والتكنولوجيا الرقمية. تهدف إلى تبسيط المفاهيم الرياضية وعرض تطبيقاتها العملية عبر الإنترنت، مع تقديم شروحات ودروس تفاعلية تساعد القراء على فهم أفضل لكيفية استخدام الرياضيات في الحياة الرقمية والبرمجة والتكنولوجيا.

Startseite أنترنت

مجموعة الأعداد الصحيحة الطبيعية ومبادئ في الحسابات - الدرس 1 للمستوى جذع مشترك علوم

03 Oktober 2022

خط المقالة

مجموعة الأعداد الصحيحة الطبيعية ومبادئ في الحسابيات مستوى الجذع المشترك علمي وتكنولوجي
نقدم إليكم متابعي «مدونة لتعلم Taalom» درس الاول للمستوى جذع مشترك علوم وتكنولوجا في مادة الرياضيات الا وهو مجموعة الأعداد الصحيحة الطبيعية ومبادئ في الحسابات وفق المقرر الذي يدرس خلال الدورة الأولى، وقد تم التطرق لهذا الدرس في سنوات سلك إعدادي لكن في هذه السنة سيتم التركيز على توظيف الزوجية وتفكيك عدد إلى جداء عوامل أولية في حل بعض المسائل البسيطة حول الأعداد الصحيحة الطبيعية .

انظر الدرس بشرح مبسط عبر الصور :

مجموعة الأعداد الصحيحة الطبيعية ومبادئ في الحسابات - الدرس 1 للمستوى جذع مشترك علوم

window['__wavt'] = 'APlU3lzc2LQjnT2lSBmPlFh8CC-o:1775286618261';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d7377531512291929229','//mathnets.blogspot.com/2022/10/group-nombres-entiers-naturels-tonc-commun-scientifique.html?hl\x3dde','7377531512291929229'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '7377531512291929229', 'title': '\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a ', 'url': 'https://mathnets.blogspot.com/2022/10/group-nombres-entiers-naturels-tonc-commun-scientifique.html?hl\x3dde', 'canonicalUrl': 'https://mathnets.blogspot.com/2022/10/group-nombres-entiers-naturels-tonc-commun-scientifique.html', 'homepageUrl': 'https://mathnets.blogspot.com/?hl\x3dde', 'searchUrl': 'https://mathnets.blogspot.com/search', 'canonicalHomepageUrl': 'https://mathnets.blogspot.com/', 'blogspotFaviconUrl': 'https://mathnets.blogspot.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': false, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': '', 'encoding': 'UTF-8', 'locale': 'de', 'localeUnderscoreDelimited': 'de', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a - Atom\x22 href\x3d\x22https://mathnets.blogspot.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a - RSS\x22 href\x3d\x22https://mathnets.blogspot.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/7377531512291929229/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a - Atom\x22 href\x3d\x22https://mathnets.blogspot.com/feeds/7897524506883661307/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseClientId': 'ca-pub-8048962953128020', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': true, 'adsenseAutoAds': true, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/16d2a080d6cf52d7', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Link abrufen', 'key': 'link', 'shareMessage': 'Link abrufen', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': '\xdcber Facebook teilen', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': '\xdcber X teilen', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': '\xdcber Pinterest teilen', 'target': 'pinterest'}, {'name': 'E-Mail', 'key': 'email', 'shareMessage': 'E-Mail', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27de\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': true, 'jumpLinkMessage': 'Read more \xbb', 'pageType': 'item', 'postId': '7897524506883661307', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg98_P0pu5TQlSL_slU081FWSxy0TQCbfB_qx7Y-5n_I4EznomvvJLqp_KZR8-YTDLoF2-pPECyIFpdgMlDcqk8oxsIYaIbX2h8tDVeFYwfhbCGvG3skp9buXq13g8fpY_xnUi092Gkea0aBp71RnZIv9nqaj4fbcnKDMDB1ozdPOuUYP2VpGJgfLP0/s72-w640-c-h491/1.png', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg98_P0pu5TQlSL_slU081FWSxy0TQCbfB_qx7Y-5n_I4EznomvvJLqp_KZR8-YTDLoF2-pPECyIFpdgMlDcqk8oxsIYaIbX2h8tDVeFYwfhbCGvG3skp9buXq13g8fpY_xnUi092Gkea0aBp71RnZIv9nqaj4fbcnKDMDB1ozdPOuUYP2VpGJgfLP0/w640-h491/1.png', 'pageName': ' \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0645\u0628\u0627\u062f\u0626 \u0641\u064a \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a - \u0627\u0644\u062f\u0631\u0633 1 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u062c\u0630\u0639 \u0645\u0634\u062a\u0631\u0643 \u0639\u0644\u0648\u0645', 'pageTitle': '\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a : \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0645\u0628\u0627\u062f\u0626 \u0641\u064a \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a - \u0627\u0644\u062f\u0631\u0633 1 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u062c\u0630\u0639 \u0645\u0634\u062a\u0631\u0643 \u0639\u0644\u0648\u0645', 'metaDescription': ''}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Bearbeiten', 'linkCopiedToClipboard': 'Link in Zwischenablage kopiert.', 'ok': 'Ok', 'postLink': 'Link zum Post'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Benutzerdefiniert', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': ' \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0645\u0628\u0627\u062f\u0626 \u0641\u064a \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a - \u0627\u0644\u062f\u0631\u0633 1 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u062c\u0630\u0639 \u0645\u0634\u062a\u0631\u0643 \u0639\u0644\u0648\u0645', 'description': '\u0628\u062d\u062b\u064a \u064a\u062f\u0631\u0633 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0627 \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0648\u0627\u0644\u062a\u062d\u0644\u064a\u0644.', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg98_P0pu5TQlSL_slU081FWSxy0TQCbfB_qx7Y-5n_I4EznomvvJLqp_KZR8-YTDLoF2-pPECyIFpdgMlDcqk8oxsIYaIbX2h8tDVeFYwfhbCGvG3skp9buXq13g8fpY_xnUi092Gkea0aBp71RnZIv9nqaj4fbcnKDMDB1ozdPOuUYP2VpGJgfLP0/w640-h491/1.png', 'url': 'https://mathnets.blogspot.com/2022/10/group-nombres-entiers-naturels-tonc-commun-scientifique.html?hl\x3dde', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 7897524506883661307}}, {'name': 'widgets', 'data': [{'title': 'BlogArchive', 'type': 'BlogArchive', 'sectionId': 'TemplateInsert', 'id': 'BlogArchive300'}, {'title': 'BlogLabels', 'type': 'Label', 'sectionId': 'TemplateInsert', 'id': 'Label300'}, {'title': '\u0625\u0639\u062f\u0627\u062f\u0627\u062a \u0627\u0644\u0642\u0627\u0644\u0628', 'type': 'LinkList', 'sectionId': 'TemplateInsert', 'id': 'LinkList300'}, {'title': '\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'type': 'PageList', 'sectionId': 'pages', 'id': 'PageList301'}, {'title': '\u0645\u0631\u0628\u0639 \u0627\u0644\u0628\u062d\u062b', 'type': 'HTML', 'sectionId': 'pages', 'id': 'HTML301'}, {'title': '\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0625\u062c\u062a\u0645\u0627\u0639\u064a', 'type': 'LinkList', 'sectionId': 'pages', 'id': 'LinkList301'}, {'title': '\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0627\u0646\u062a\u0631\u0646\u064a\u062a (Header)', 'type': 'Header', 'sectionId': 'head-container', 'id': 'Header1'}, {'title': '', 'type': 'LinkList', 'sectionId': 'menu-bar', 'id': 'LinkList302'}, {'title': 'Blogposts', 'type': 'Blog', 'sectionId': 'RecentPosts', 'id': 'Blog1', 'posts': [{'id': '7897524506883661307', 'title': ' \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0645\u0628\u0627\u062f\u0626 \u0641\u064a \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a - \u0627\u0644\u062f\u0631\u0633 1 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u062c\u0630\u0639 \u0645\u0634\u062a\u0631\u0643 \u0639\u0644\u0648\u0645', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg98_P0pu5TQlSL_slU081FWSxy0TQCbfB_qx7Y-5n_I4EznomvvJLqp_KZR8-YTDLoF2-pPECyIFpdgMlDcqk8oxsIYaIbX2h8tDVeFYwfhbCGvG3skp9buXq13g8fpY_xnUi092Gkea0aBp71RnZIv9nqaj4fbcnKDMDB1ozdPOuUYP2VpGJgfLP0/w640-h491/1.png', 'showInlineAds': false}], 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'timestamp', 'label': ''}, {'name': 'comments', 'label': 'comments'}, {'name': 'share', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}], 'allBylineItems': [{'name': 'timestamp', 'label': ''}, {'name': 'comments', 'label': 'comments'}, {'name': 'share', 'label': ''}, {'name': 'labels', 'label': ''}]}, {'title': 'Kontaktformular', 'type': 'ContactForm', 'sectionId': 'RecentPosts', 'id': 'ContactForm302'}, {'title': '\u0639\u062f\u0627\u062f \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0625\u062c\u062a\u0645\u0627\u0639\u064a [SM]', 'type': 'LinkList', 'sectionId': 'sidebar-section', 'id': 'LinkList3'}, {'title': '\u0627\u0644\u0634\u0627\u0626\u0639', 'type': 'PopularPosts', 'sectionId': 'sidebar-section', 'id': 'PopularPosts1', 'posts': []}, {'title': 'Labels', 'type': 'Label', 'sectionId': 'sidebar-section', 'id': 'Label1'}, {'title': '\u0627\u0644\u062d\u0642\u0648\u0642', 'type': 'HTML', 'sectionId': 'license', 'id': 'HTML306'}]}]); _WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive300', 'TemplateInsert', document.getElementById('BlogArchive300'), {'languageDirection': 'ltr', 'loadingMessage': 'Wird geladen\x26hellip;'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label300', 'TemplateInsert', document.getElementById('Label300'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList300', 'TemplateInsert', document.getElementById('LinkList300'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList301', 'pages', document.getElementById('PageList301'), {'title': '\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'links': [{'isCurrentPage': false, 'href': 'https://mathnets.blogspot.com/p/blog-page_27.html?hl\x3dde', 'id': '7188977073514266502', 'title': '\u0633\u064a\u0627\u0633\u0629 \u0627\u0644\u062e\u0635\u0648\u0635\u064a\u0629 '}, {'isCurrentPage': false, 'href': 'https://mathnets.blogspot.com/p/blog-page_20.html?hl\x3dde', 'id': '3002287657523345565', 'title': ' \u0627\u062a\u0635\u0644 \u0628\u0646\u0627'}, {'isCurrentPage': false, 'href': 'https://mathnets.blogspot.com/p/blog-page_26.html?hl\x3dde', 'id': '6012208849567660656', 'title': '\u0645\u0646 \u0646\u062d\u0646 '}, {'isCurrentPage': false, 'href': 'https://mathnets.blogspot.com/p/blog-page.html?hl\x3dde', 'id': '2212628489900530670', 'title': '\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u062d\u0642\u0648\u0642 \u0627\u0644\u0646\u0634\u0631'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML301', 'pages', document.getElementById('HTML301'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList301', 'pages', document.getElementById('LinkList301'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'head-container', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList302', 'menu-bar', document.getElementById('LinkList302'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'RecentPosts', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/2795747478-lbx__de.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/828616780-lightbox_bundle.css'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ContactFormView', new _WidgetInfo('ContactForm302', 'RecentPosts', document.getElementById('ContactForm302'), {'contactFormMessageSendingMsg': 'Wird gesendet...', 'contactFormMessageSentMsg': 'Deine Nachricht wurde gesendet.', 'contactFormMessageNotSentMsg': 'Die Nachricht konnte nicht gesendet werden. Bitte versuche es sp\xe4ter noch einmal.', 'contactFormInvalidEmailMsg': 'Es ist eine g\xfcltige E-Mail-Adresse erforderlich.', 'contactFormEmptyMessageMsg': 'Das Nachrichtenfeld darf nicht leer sein.', 'title': 'Kontaktformular', 'blogId': '7377531512291929229', 'contactFormNameMsg': 'Name', 'contactFormEmailMsg': 'E-Mail', 'contactFormMessageMsg': 'Nachricht', 'contactFormSendMsg': 'Senden', 'contactFormToken': 'APlU3lwSAGDCq4orng8G-RXshI3C:1775286618261', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList3', 'sidebar-section', document.getElementById('LinkList3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PopularPostsView', new _WidgetInfo('PopularPosts1', 'sidebar-section', document.getElementById('PopularPosts1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'sidebar-section', document.getElementById('Label1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML306', 'license', document.getElementById('HTML306'), {}, 'displayModeFull'));