الضرب المتكرر في ن

ياسر ابوستيت

* لحظات مع عنوان الدرس

- ن هي مجموعة الاعداد النسبية

- الضرب .... إذاً الدرس يهتم بعملية الضرب

- المتكرر ... إذاً هناك عملية ضرب وتكررت في الاعداد ن

س¹/ ما ناتج ضرب العدد 3 في نفسه خمس مرات

الحل

3 × 3 × 3 × 3 × 3 = 243

س²/ ما ناتج تكرار ضرب العدد () في نفسه ثلاث مرات ؟

الحل

س³/ ما ناتج تكرار ضرب العدد () في نفسه ثلاث مرات ؟

الحل

إذاً : إذا تكرَّر ضرب عدد × نفسه عدداً من المرات ، فيكون

3 أس 5 = 243

وبشكل عام إذا كان فإن

تكرر من المرات

* ملحوظات هامة :-

1- (أي عدد)^صفر = 1

2- : م زوجي ← = +

2- : م فردي ← = -

س/ أوجد قيمة ما يلي

1- (-5)^صفر 2-

3- ³2 4- ( )^صفر

5- (0)³ 6- (-2)⁴

7- -(-5)³ 8- × ×

9- (1)⁵ 6- (-1)⁵

أمثلة محلولة :-

* أوجد في ابسط صور ما يلي :-

1-

الحل

2-

الحل

3-- أوجد في ابسط صورة

الحل

تذكر أن

* 1) المعكوس الجمعي هو العدد نفسه بعكس الإشارة

* 2) المعكوس الضربي هو مقلوب العدد وبنفس الإشارة

* 3) المحايد الجمعي (الصفر)

* 4) المحايد الضربي (الواحد الصحيح)

تمارين على الدرس الأول

أوجد ناتج ما يلي :

ثالثاً :-

# اذا كان

فأوجد قيمة كل من

1- (س ص ع)² 2- (س + ص) ع

# اذا كان

فأوجد

1- س ص² ع³ 2- س³ ص² ع³

3- س² – ص ع² 4- س² ÷ ص³

5- س² ص ÷ ع³ 6- س³ ÷ (ص² ع)

جبر1 رياضيات اولى اعدادى رياضيات1ع2ت

ياسر ابوستيت

مقالات قد تهمك

تعليقات

إرسال تعليق

window['__wavt'] = 'AOuZoY6ezgyyCZsOEjcPlQEA2yoM0v3NDw:1734793821921';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d8765895678498707572','//www.yasser.cc/2023/02/repeated-multiplication.html','8765895678498707572'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '8765895678498707572', 'title': '\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a', 'url': 'https://www.yasser.cc/2023/02/repeated-multiplication.html', 'canonicalUrl': 'https://www.yasser.cc/2023/02/repeated-multiplication.html', 'homepageUrl': 'https://www.yasser.cc/', 'searchUrl': 'https://www.yasser.cc/search', 'canonicalHomepageUrl': 'https://www.yasser.cc/', 'blogspotFaviconUrl': 'https://www.yasser.cc/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': '', 'encoding': 'UTF-8', 'locale': 'ar', 'localeUnderscoreDelimited': 'ar', 'languageDirection': 'rtl', '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\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a - Atom\x22 href\x3d\x22https://www.yasser.cc/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a - RSS\x22 href\x3d\x22https://www.yasser.cc/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/8765895678498707572/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a - Atom\x22 href\x3d\x22https://www.yasser.cc/feeds/6364721522188584783/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseClientId': 'ca-pub-7609009652389611', '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/361ce9cf7a112c52', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': '\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637', 'key': 'link', 'shareMessage': '\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': '\u0645\u0634\u0627\u0631\u0643\u0629 \u0625\u0644\u0649 Facebook', 'target': 'facebook'}, {'name': '\u0643\u062a\u0627\u0628\u0629 \u0645\u062f\u0648\u0646\u0629 \u062d\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u0629', 'key': 'blogThis', 'shareMessage': '\u0643\u062a\u0627\u0628\u0629 \u0645\u062f\u0648\u0646\u0629 \u062d\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u0629', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': '\u0645\u0634\u0627\u0631\u0643\u0629 \u0625\u0644\u0649 X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': '\u0645\u0634\u0627\u0631\u0643\u0629 \u0625\u0644\u0649 Pinterest', 'target': 'pinterest'}, {'name': '\u0628\u0631\u064a\u062f \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a', 'key': 'email', 'shareMessage': '\u0628\u0631\u064a\u062f \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27ar\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': true, 'jumpLinkMessage': '\u0627\u0644\u0645\u0632\u064a\u062f \xbb', 'pageType': 'item', 'postId': '6364721522188584783', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTHP5CYnNJeeR8QxqsC5lgaMA7fZDhTjmQvR5gf6R8RBfjgSnlHXG_Q5ZCw_-2e9nylIsFcwtbpQmudNXa6c-AeIYldmZ7NalMpjSRqP2Clgv54VlwVFpRFyo2_E1WlGVxRzUIrmfQIsBEsurF3RX5HIgIxP5wwbei7MW3gwo468W9S1xq7QXgmRLXrA/s72-w640-c-h480/%D8%A7%D9%84%D9%85%D9%88%D9%82%D8%B9.jpg', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTHP5CYnNJeeR8QxqsC5lgaMA7fZDhTjmQvR5gf6R8RBfjgSnlHXG_Q5ZCw_-2e9nylIsFcwtbpQmudNXa6c-AeIYldmZ7NalMpjSRqP2Clgv54VlwVFpRFyo2_E1WlGVxRzUIrmfQIsBEsurF3RX5HIgIxP5wwbei7MW3gwo468W9S1xq7QXgmRLXrA/w640-h480/%D8%A7%D9%84%D9%85%D9%88%D9%82%D8%B9.jpg', 'pageName': '\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u0643\u0631\u0631 \u0641\u064a \u0646', 'pageTitle': '\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a: \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u0643\u0631\u0631 \u0641\u064a \u0646', 'metaDescription': ''}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': '\u062a\u0639\u062f\u064a\u0644', 'linkCopiedToClipboard': '\u062a\u0645 \u0646\u0633\u062e \u0627\u0644\u0631\u0627\u0628\u0637 \u0625\u0644\u0649 \u0627\u0644\u062d\u0627\u0641\u0638\u0629', 'ok': '\u062d\u0633\u0646\u064b\u0627', 'postLink': '\u0631\u0627\u0628\u0637 \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u0629'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': '\u0645\u062e\u0635\u0635', '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': '\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u0643\u0631\u0631 \u0641\u064a \u0646', 'description': '', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTHP5CYnNJeeR8QxqsC5lgaMA7fZDhTjmQvR5gf6R8RBfjgSnlHXG_Q5ZCw_-2e9nylIsFcwtbpQmudNXa6c-AeIYldmZ7NalMpjSRqP2Clgv54VlwVFpRFyo2_E1WlGVxRzUIrmfQIsBEsurF3RX5HIgIxP5wwbei7MW3gwo468W9S1xq7QXgmRLXrA/w640-h480/%D8%A7%D9%84%D9%85%D9%88%D9%82%D8%B9.jpg', 'url': 'https://www.yasser.cc/2023/02/repeated-multiplication.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 6364721522188584783}}, {'name': 'widgets', 'data': [{'title': '', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML3'}, {'title': '\u0627\u0644\u0627\u062e\u0628\u0627\u0631', 'type': 'HTML', 'sectionId': 'Postcs1', 'id': 'HTML4'}, {'title': '\u064a\u0627\u0633\u0631 \u0627\u0628\u0648\u0633\u062a\u064a\u062a (\u0631\u0623\u0633 \u0627\u0644\u0635\u0641\u062d\u0629)', 'type': 'Header', 'sectionId': 'logo', 'id': 'Header1'}, {'title': '\u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'type': 'PageList', 'sectionId': 'pages', 'id': 'PageList1'}, {'title': '\u0628\u062d\u062b ...', 'type': 'BlogSearch', 'sectionId': 'searchform', 'id': 'BlogSearch2'}, {'title': '\u0623\u0642\u0633\u0627\u0645 \u0627\u0644\u0648\u0635\u0648\u0644 \u0627\u0644\u0633\u0631\u064a\u0639 (\u0645\u0631\u0628\u0639 \u0627\u0644\u0628\u062d\u062b)', 'type': 'Label', 'sectionId': 'searchform', 'id': 'Label002'}, {'title': '\u0631\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u062f\u0648\u0646\u0629 \u0627\u0644\u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a\u0629', 'type': 'Blog', 'sectionId': 'Tempnec', 'id': 'Blog1', 'posts': [{'id': '6364721522188584783', 'title': '\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062a\u0643\u0631\u0631 \u0641\u064a \u0646', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTHP5CYnNJeeR8QxqsC5lgaMA7fZDhTjmQvR5gf6R8RBfjgSnlHXG_Q5ZCw_-2e9nylIsFcwtbpQmudNXa6c-AeIYldmZ7NalMpjSRqP2Clgv54VlwVFpRFyo2_E1WlGVxRzUIrmfQIsBEsurF3RX5HIgIxP5wwbei7MW3gwo468W9S1xq7QXgmRLXrA/w640-h480/%D8%A7%D9%84%D9%85%D9%88%D9%82%D8%B9.jpg', 'showInlineAds': false}], 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'author', 'label': '\u0643\u062a\u0628:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'share', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}], 'allBylineItems': [{'name': 'author', 'label': '\u0643\u062a\u0628:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'share', 'label': ''}, {'name': 'labels', 'label': ''}]}, {'title': '\u0627\u0644\u062a\u0633\u0645\u064a\u0627\u062a', 'type': 'Label', 'sectionId': 'sidepar', 'id': 'Label1'}, {'title': '\u0625\u0639\u0644\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u0627\u0644 \u0623\u0633\u0627\u0633\u064a', 'type': 'LinkList', 'sectionId': 'PostA3lan', 'id': 'LinkList005'}, {'title': 'BlogArchive', 'type': 'BlogArchive', 'sectionId': 'sitting', 'id': 'BlogArchive400'}, {'title': 'BlogAuthors', 'type': 'Profile', 'sectionId': 'sitting', 'id': 'Profile400'}, {'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'type': 'ContactForm', 'sectionId': 'AddOns', 'id': 'ContactForm200'}]}]); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML3', 'TopPost-sc', document.getElementById('HTML3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML4', 'Postcs1', document.getElementById('HTML4'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'logo', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList1', 'pages', document.getElementById('PageList1'), {'title': '\u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'links': [{'isCurrentPage': false, 'href': 'https://www.yasser.cc/p/terms.html', 'id': '7136513437129738806', 'title': '\u0627\u062a\u0641\u0627\u0642\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645'}, {'isCurrentPage': false, 'href': 'https://www.yasser.cc/p/privacy.html', 'id': '951681571564814346', 'title': '\u0627\u0644\u062e\u0635\u0648\u0635\u064a\u0629'}, {'isCurrentPage': false, 'href': 'https://www.yasser.cc/p/authors.html', 'id': '3832996125012704184', 'title': '\u0645\u0646 \u0646\u062d\u0646'}, {'isCurrentPage': false, 'href': 'https://www.yasser.cc/p/contact.html', 'id': '7945584762075856802', 'title': '\u0631\u0627\u0633\u0644\u0646\u0627'}, {'isCurrentPage': false, 'href': 'https://www.yasser.cc/p/archive.html', 'id': '8207659738756140348', 'title': '\u0627\u0644\u0627\u0631\u0634\u064a\u0641'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch2', 'searchform', document.getElementById('BlogSearch2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label002', 'searchform', document.getElementById('Label002'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'Tempnec', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/4234554620-lbx__ar.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/1964470060-lightbox_bundle_rtl.css'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'sidepar', document.getElementById('Label1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList005', 'PostA3lan', document.getElementById('LinkList005'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive400', 'sitting', document.getElementById('BlogArchive400'), {'languageDirection': 'rtl', 'loadingMessage': '\u200f\u062c\u0627\u0631\u064d \u0627\u0644\u062a\u062d\u0645\u064a\u0644\x26hellip;'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ProfileView', new _WidgetInfo('Profile400', 'sitting', document.getElementById('Profile400'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ContactFormView', new _WidgetInfo('ContactForm200', 'AddOns', document.getElementById('ContactForm200'), {'contactFormMessageSendingMsg': '\u062c\u0627\u0631\u064d \u0627\u0644\u0625\u0631\u0633\u0627\u0644...', 'contactFormMessageSentMsg': '\u062a\u0645 \u0625\u0631\u0633\u0627\u0644 \u0631\u0633\u0627\u0644\u062a\u0643.', 'contactFormMessageNotSentMsg': '\u062a\u0639\u0630\u0631 \u0625\u0631\u0633\u0627\u0644 \u0627\u0644\u0631\u0633\u0627\u0644\u0629\u060c \u064a\u0631\u062c\u0649 \u0627\u0644\u0645\u062d\u0627\u0648\u0644\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0641\u064a \u0648\u0642\u062a \u0644\u0627\u062d\u0642.', 'contactFormInvalidEmailMsg': '\u064a\u0644\u0632\u0645 \u0625\u062f\u062e\u0627\u0644 \u0639\u0646\u0648\u0627\u0646 \u0628\u0631\u064a\u062f \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a \u0635\u0627\u0644\u062d.', 'contactFormEmptyMessageMsg': '\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062d\u0642\u0644 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 \u0641\u0627\u0631\u063a\u064b\u0627.', 'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'blogId': '8765895678498707572', 'contactFormNameMsg': '\u0627\u0644\u0627\u0633\u0645', 'contactFormEmailMsg': '\u0628\u0631\u064a\u062f \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a', 'contactFormMessageMsg': '\u0631\u0633\u0627\u0644\u0629', 'contactFormSendMsg': '\u0625\u0631\u0633\u0627\u0644', 'contactFormToken': 'AOuZoY76GEQOu6kX6nTQPEhTE5TqEIGvyA:1734793821922', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull'));