[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-218155-105":53,"doc-detail-218155-en":127},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","operations-with-integers-for-high-school","Operations with Integers for High School","","Slide lesson material focused on integer operations for high school, centered on two foundational properties: commutative and associative. The content explains how rearranging addends or factors does not change the resulting sum or product, while regrouping with parentheses preserves outcomes for addition and multiplication. Practice sections guide learners to apply these properties to complete missing values and evaluate true/false statements, supported by example equations and structured checks that separate commutative versus associative behavior.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":11,"@type":70,"position":76},"https://docshare.wps.com/template/presentations/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/operations-with-integers-for-high-school/218155/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/operations-with-integers-for-high-school/218155.png","ImageObject",442,249,{"name":88,"@type":89},"Anda","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-10-29","2026-09-08",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",7,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What do the commutative property rules say for addition and multiplication with integers?","Question",{"text":109,"@type":110},"For addition, changing the order of integers does not change the sum (a + b = b + a). For multiplication, changing the order does not change the product (a × b = b × a).","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"How does the associative property work for integer operations?",{"text":114,"@type":110},"The associative property states that changing grouping using parentheses does not affect the sum or product. For addition: a + (b + c) = (a + b) + c. For multiplication: a × (b × c) = (a × b) × c.",{"name":116,"@type":107,"acceptedAnswer":117},"Which operations are affected by commutative and associative properties, and which are not?",{"text":118,"@type":110},"The material indicates commutative and associative properties apply to addition and multiplication, not subtraction and division.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},218155,1791744292,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":8,"category_name":11,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":9,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":4},962075006959,"https://ap-avatar.wpscdn.com/avatar/e0002397efbe92a78e?_k=1776741047341049297","Operations with Integers\nfor High School\nClick on the \"PowerPoint\" button below this presentation preview. Start editing your presentation.\nAlternative: From Canva template file, Click on the \"Share\" button on the top right corner in Canva and click on \"More\" at the bottom of the menu. Enter \"PowerPoint\" in the search bar and click on the PowerPoint icon to download.\nGoogle Slides\nPowerPoint\nCanva\nHow to Use This Presentation\nClick on the \"Google Slides\" button below this presentation preview. Make sure to sign in to your Google account. Click on \"Make a copy.\" Start editing your presentation.\nAlternative: Click on the \"Share\" button on the top right corner in Canva and click on \"More\" at the bottom of the menu. Enter \"Google Drive\" in the search bar and click on the GDrive icon to add this design as a Google slide in your GDrive.\nClick on the \"Canva\" button under this presentation preview. Start editing your presentation. You need to sign in to your Canva account.\nLesson Outline\nAddition\nMultiplication\nAddition\nMultiplication\nCommutative Property\nAssociative Property\nSpringboard Question\nbacon,\ntomato,\nlettuce\nlettuce\nand tomato sandwich\nand bacon sandwich?\nDoes a\ntaste the same as a\ndifferentiate commutative from associative property\nBy the end of the lesson, you'll be able to:\nLearning Outcomes\napply commutative and associative properties in integer operations\naddition\nmultiplication\nIt applies to\nbut not to\nsubtraction\ndivision\nIt states that rearranging the numbers does not affect the sum or product of numbers.\nCommutative Property\nCommutative Property of Multiplication\nRotating the grids below doesn't affect their areas.\n2 × 7 is the same as saying 7 × 2\n5 × 8 is the same as saying 8 × 5\na × b = b × a\n2\n4\n6\n9\na + b = b + a\nWhat is the sum if you add them\nstarting from the left most digit?\nWhat is the sum if you add them\nstarting from the right most digit?\n5\nCommutative Property of Addition\na + (b + c) = (a + b) + c\nAdd up all red fruits first, then add the bananas.\n(A)\n(B)\nAdd bananas and strawberries together, then add the apples.\nDid the total number of fruits change?\nAssociative Property of Addition\n16 × 15 × 13 = 15 ×\n−4 + (−10) =\n−3 + 9 = 9 +\nTry These!\n× 16\n+ (−4)\nAddition\nMultiplication\n15 + 19 = 19 +\nUse the commutative property to find the missing numbers.\n21 × (−250) = (-250) ×\n24 × 50 = 50 ×\naddition\nmultiplication\nIt applies to\nbut not to\nsubtraction\ndivision\nIt states that changing the grouping of the numbers using parentheses does not affect the sum and product of numbers.\nAssociative Property\na × (b × c) = (a × b) × c\nAssociative Property of Multiplication\n5\n2\n4\nWhat are the different ways you can rearrange these numbers to get the same product?\nExample:\n5 × (2 × 4)\n−5 × (2 × 7) = (−5 × 2) × 7\n−8 × (7 × 4)= (−8 × 7) × 4\n90 ÷ 6 ÷ (−3) = 90 ÷ (6 ÷ (−3))\n(−2 + 4) + 6 = (−2) + [4 + 6]\nUse the associative property to determine whether the equations below are true or false. Drag each equation to the corresponding column.\nTry This!\nTrue\nFalse\n27 + 4 + 9\nand\n9 + 27 + 4\nrelated to rearranging the numbers\nrelated to grouping of the numbers\n3 × (6 × 8)\nand\n6 × (3 × 8)\n99 + (1 + 100)\nand\n1 + (100 + 99)\n3 × 9 × 2\nand\n9 × 2 × 3\nLesson Check\nGroup the sticky notes correctly under the two headings:\nCommutative\nAssociative\nAssignment\nRead about the distributive property.\nHow does it differ from the commutative and associative properties? Does it apply to all operations: addition, subtraction, multiplication, and division?\nShare what you learned with the\nclass tomorrow.\nResource\nPage\nUse these design resources in your\nCanva Presentation.\nThis presentation template uses the following free fonts:\nTitles: Bungee\nHeaders: Caveat Brush\nBody Copy: Bai Jamjuree\nYou can find these fonts online too. Happy designing!\nDon't forget to delete this page\nbefore presenting.\nThis presentation template is free for everyone to use thanks to the following:\nSlidesCarnival for the presentation template\nPexels for the photos\nHappy designing!","cbCaiohTE6CgAlJT","https://ap.wps.com/l/cbCaiohTE6CgAlJT","pptx",3596876,"English","# How to Use This Presentation\n# Lesson Outline\n## Addition\n## Multiplication\n## Commutative Property\n## Associative Property\n# Try These!\n# Lesson Check\n# Assignment\n# Resource\n## Design Resources","[{\"question\":\"What do the commutative property rules say for addition and multiplication with integers?\",\"answer\":\"For addition, changing the order of integers does not change the sum (a + b = b + a). For multiplication, changing the order does not change the product (a × b = b × a).\"},{\"question\":\"How does the associative property work for integer operations?\",\"answer\":\"The associative property states that changing grouping using parentheses does not affect the sum or product. For addition: a + (b + c) = (a + b) + c. For multiplication: a × (b × c) = (a × b) × c.\"},{\"question\":\"Which operations are affected by commutative and associative properties, and which are not?\",\"answer\":\"The material indicates commutative and associative properties apply to addition and multiplication, not subtraction and division.\"}]","Operations with Integers for High School | PPTX",1788850383]