[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-493416-105":59,"doc-detail-493416-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","grade-8-ccsc-vocabulary","Grade 8 CCSC Vocabulary","","Vocabulary and concept notes for Grade 8 covering core number systems and algebraic ideas. The material defines rational and irrational numbers, explains the real number system, and introduces operations for truncation. It then reviews properties of integer exponents, including product, quotient, negative and zero exponents, and power of powers. Later sections cover perfect squares and cubes, principal versus negative roots, integer powers of 10, scientific and decimal notation, and coordinate geometry topics such as slope, unit rate, proportional relationships, direct variation, zero slope, and undefined slope.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/grade-8-ccsc-vocabulary/493416/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/grade-8-ccsc-vocabulary/493416.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-10-01",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How are rational numbers defined?","Question",{"text":112,"@type":113},"Rational numbers can be expressed as an integer, a quotient of integers, or a decimal that is finite or repeats infinitely.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does truncating a number mean?",{"text":117,"@type":113},"Truncation shortens a number by dropping one or more digits after the decimal point, keeping digits only up to a specified place.",{"name":119,"@type":110,"acceptedAnswer":120},"How is slope defined and interpreted in the coordinate plane?",{"text":121,"@type":113},"Slope is a ratio describing a line’s steepness, typically written as rise over run. It shows how the change in y relates to the change in x, and constant slope indicates a constant rate of change.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},493416,1791180580,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","rational numbers: Numbers that can be expressed as an integer, as a quotient of integers (such as ~~ ~~ , ~~ ~~ , 7) , or as a decimal where the decimal part is either finite or repeats infinitely (such as 2.75 and 33.3333   ) are considered rational numbers.  \nirrational numbers:. A number is irrational because its value cannot be written as either a finite or a repeating decimal such as π and .  \nreal number system: The set of numbers consisting of rational and irrational numbers make up the real number system.  \ntruncate: In this estimation strategy, a number is shortened by dropping one or more digits after the decimal point (i.e. , 234.56 is truncated to the tenth’s place → 234.5 by dropping the digit 6 in the hundredth’s place) .  \nproperties of integer exponents: These properties include product of powers, quotient of powers, negative exponents, zero exponent, and power of powers.  \nproduct of powers: Add the exponents ∙ = OR 􀂘  \nquotient of powers: Subtract the exponents ~~ ~~ = OR ÷ = OR ~~ ~~ =  \nnegative exponents: = ~~ ~~ = ~~ ~~ OR = ~~ ~~ = ~~ ~~  \nzero exponents: Using quotient of powers where exponents are subtracted ~~ ~~ = , and ~~ ~~ = 1, therefore = 1 OR 20 = 1  \npower of powers: Multiply the exponents ( = ( )2 = ( ) ( ) .  \nTherefore ( = 8 OR ( = ( )2 = ( ) ( ) .  \nTherefore ( = 8  \nperfect square: A perfect square is the product of a number multiplied by itself.  \nExamples: 4 • 4 = 16, therefore 16 is a perfect square of 4;  \n‾6 • ‾6 = 36, therefore 36 is a perfect square of ‾6;  \n~~ ~~ ~~ ~~ ~~ ~~ , therefore ~~ ~~ is a perfect square of ~~ ~~  \nperfect cubes: A perfect cube is the product of a number multiplied by itself twice.  \nExamples: 2 • 2 • 2 = 8, therefore 8 is a perfect cube of 2  \n‾5 • ‾5 • ‾5 = ‾125, therefore ‾125 is a perfect cube of ‾5  \n~~ ~~ ~~ ~~ ~~ ~~ ~~ ~~ , therefore ~~ ~~ is a perfect cube of ~~ ~~  \nsquare roots ( ) A square root of a number is a value which, when used as a factor two times produces the given number.  \nExample: (read as square root of 144) is 12 because  \n12 􀁸 12 = 122 = 144.  \ncube roots ( ): A cube root of a number is a value which, when used as a factor three times produces the given number.  \nExample: (read as cube root of 216) is 6 because 6 􀁸 6 􀁸 6 = 63 = 216  \nprincipal (positive) roots and negative roots: A positive number has two square roots. The principal root is positive and the other root is negative. For example the square roots of 121 are  \n11 and ‾11 because 112 = 121 and (‾11)2 = 121.  \ninteger powers of 10: Integer powers of 10 are numbers with a base of 10 and an exponent that is an integer.  \nExamples of positive: 101 = 10; 102 = 100; 103 = 1,000; 104 = 10,000; 105 = 100,000  \nExamples of negative: 10‾1 = ~~ ~~ ; 10‾2 = ~~ ~~ ; 10‾3 = ~~ ~~ ; 10‾4 = ~~ ~~ ; 10‾5 = ~~ ~~  \nExample of zero: = 1  \nscientific notation: A number in scientific notation is written as the product of two factors. The first factor is a number greater than or equal to 1 and less than 10; the second factor is an integer power of 10.  \nExample: 37,482,000 is written 3.7482 x 107  \n0.00000037482 is written 3.7482 x 10‾7  \ndecimal notation: Notation refers to symbols that denote quantities and operations. Values written in decimal notation use a decimal point to differentiate between whole number values and mixed number values, for example 132 versus 132.5. Mixed number values also can be written infraction notation, for example 132~~ ~~.  \nslope:  \nSlope of a line is a ratio that describes the  \nsteepness of a line. Slope is usually written infraction form that places the value of the horizontal change along the x-axis in the denominator of the fraction and the vertical change along the y-axis in the numerator. In the diagram, the horizontal change (run) is 2, while the vertical change (rise) is 3. Thus, the slope of the line is ~~ ~~ .  \nslope = ~~ ~~ = ~~ ~~  \nunit rate: Unit rate is the ratio of two different measurements in which the second term is 1.  \nExample: 6:1, 6 mi","cbCaiv2CXW3dwe0r","https://ap.wps.com/l/cbCaiv2CXW3dwe0r","pdf",1489493,21,"English","# Number Systems and Exponents\n## Rational and Irrational Numbers\n## Truncate\n## Properties of Integer Exponents\n## Perfect Squares and Cubes\n## Square Roots and Cube Roots\n# Notation and Geometry\n## Integer Powers of 10\n## Scientific Notation\n## Decimal Notation\n## Slope and Unit Rate\n## Proportional Relationships and Direct Variation\n## Zero Slope and Undefined Slope","[{\"question\":\"How are rational numbers defined?\",\"answer\":\"Rational numbers can be expressed as an integer, a quotient of integers, or a decimal that is finite or repeats infinitely.\"},{\"question\":\"What does truncating a number mean?\",\"answer\":\"Truncation shortens a number by dropping one or more digits after the decimal point, keeping digits only up to a specified place.\"},{\"question\":\"How is slope defined and interpreted in the coordinate plane?\",\"answer\":\"Slope is a ratio describing a line’s steepness, typically written as rise over run. It shows how the change in y relates to the change in x, and constant slope indicates a constant rate of change.\"}]","Grade 8 CCSC Vocabulary | PDF",1790882248,53]