[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-430853-105":59,"doc-detail-430853-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","king-fahd-university-of-petroleum-minerals-prep-year-math-program-chapter-p-vocabulary","King Fahd University of Petroleum & Minerals Prep-Year Math Program - Chapter P Vocabulary","","Chapter P Vocabulary under the Prep-Year Math Program for King Fahd University of Petroleum & Minerals organizes key real-number and algebra terminology in bilingual English–Arabic format. It covers categories such as terminating, repeating, and nonterminating decimals; rational, irrational, and real numbers; prime and composite numbers; fractions. Additional concept vocabulary includes absolute value, inverses, properties of operations, sets, equations/inequalities, and core algebraic terms like polynomials, radicals, and factoring-related ideas.",{"@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/king-fahd-university-of-petroleum-minerals-prep-year-math-program-chapter-p-vocabulary/430853/",{"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/king-fahd-university-of-petroleum-minerals-prep-year-math-program-chapter-p-vocabulary/430853.png","ImageObject",300,407,{"name":92,"@type":93},"noah","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are terminating, repeating, and nonterminating decimals?","Question",{"text":112,"@type":113},"Terminating decimals end after a finite number of digits, repeating decimals repeat a pattern, and nonterminating decimals do not end and may not repeat.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are rational and irrational numbers distinguished?",{"text":117,"@type":113},"Rational numbers can be written in the form p/q with integers p and q≠0, while irrational numbers cannot be written that way and include values like π.",{"name":119,"@type":110,"acceptedAnswer":120},"What vocabulary terms are included in Chapter P beyond real numbers?",{"text":121,"@type":113},"The chapter also lists algebra and set-related terms such as absolute value, inverses, properties, number line, numerator/denominator, equations and inequalities, and concepts like polynomials and factoring.","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},430853,1790694809,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":44,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},1099529839121,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","King Fahd University of Petroleum &Minerals  \nPrep-Year Math Program  \n\n| | Chapter P Vocabulary | |\n| --- | --- | --- |\n\nText book: College Algebra & Trigonometry (Aufman/Barker/Nation – Fifth Edition)  \nBy  \nDr. A. Shawky Ibarhim Mr. Luai Al-Labadi  \nMr. Husam Sharqawi  \nSummer 2006  \nReal Numbers Related Vocabulary  \nﻣﻔﺮدات ﺗﺘﻌﻠﻖ ﺑﺎﻷﻋﺪاد اﻟﺤﻘﻴﻘﻴﺔ  \nNatural numbers: {1,2,3,4,…} اﻟﻄﺒﻴﻌﻴﺔ اﻷﻋﺪاد  \nWhole numbers: {0,1,2,3,4,…} اﻟﻜﻠﻴﺔ اﻷﻋﺪاد  \nIntegers: {…,-3,-2,-1,0,1,2,3,…} اﻟﺼﺤﻴﺤﺔ اﻷﻋﺪاد  \n\n| Terminating: | ﻣﻨﺘﻬﻰ |\n| --- | --- |\n| Nonterminating: | ﻏﻴﺮ ﻣﻨﺘﻬﻲ |\n| Decimal: | ﻋﺸﺮي |\n| Repeating: | ﻣﺘﻜﺮر |\n\nRepeating Decimal: ﻣﺘﻜﺮر ﻋﺸﺮي آﺴﺮ For example: 0.123 i.e. 0.123123123    \nTerminating Decimal ﻣﻨﺘﻬﻲ ﻋﺸﺮي آﺴﺮ For example: 0.6, 0.34, 0.22584,..  \nNonterminating Decimal آﺴﺮ ﻋﺸﺮي ﻏﻴﺮ ﻣﻨﺘﻬﻰ For example: 0.216596…, 0. 121221222    \nاﻷﻋﺪاد اﻟﻘﻴﺎﺳﻴﺔ )اﻟﻨﺴﺒﻴﺔ( Rational numbers:  \n{all terminating decimals, repeating decimals, or numbers which can be written in the form p , where p and q are integers and q ≠ 0 } For example: 3.56, 2.18, 5 , −  11 , ...  \nq 2 13  \nnumbers (ﻧﺴﺒﻴﺔ اﻟﻐﻴﺮ) ﻗﻴﺎﺳﻴﺔ اﻟﻐﻴﺮ ﻷﻋﺪاد ا {all nonterminating nonrepeating decimals} Irrational  \nFor example: 12.315845690...,  2 , 3 5 , π (ط) , Notice that any irrational number cannot be written in the form pq where p and q are integers and q ≠ 0  \nReal numbers: اﻟﺤﻘﻴﻘﻴﺔ اﻷﻋﺪاد { all rational and irrational numbers}  \nPrime numbers: اﻷوﻟﻴﺔ اﻷﻋﺪاد {2, 3, 5, 7, 11, 13,…}  \nComposite numbers: أوﻟﻴﺔ اﻟﻐﻴﺮ اﻷﻋﺪاد { 4, 6, 8, 9, 10, 12, 15,…}  \nآﺴﺮ)ﻧﺴﺒﺔ ﺑﻴﻦ ﻋﺪدﻳﻦ ﺻﺤﻴﺤﻴﻦ ﺑﺤﻴﺚ ﻻ ﻳﺴﺎوي اﻟﻤﻘﺎم ﺻﻔﺮ( Fraction:  \nAny number in the form pq , where p and q are integers, q ≠ 0 . For example: 32 , 125 , 121122 , ...  \nChapter P Vocabulary  \nP.1  \n\n|  absolute value |  | ﻗﻴﻤﺔ ﻣﻄﻠﻘﺔ | | inverse | ﻣﻌﻜﻮس |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  addition |  | ﺟﻤﻊ | | multiplication | ﻋﻤﻠﻴﺔ اﻟﻀﺮب |  |\n|  additive inverse |  | ﻣﻌﻜﻮسﺟﻤﻌﻲ | | multiplicative inverse | ﻣﻌﻜﻮسﺿﺮﺑﻲ |  |\n|  associative property |  | ﺧﺎﺻﻴﺔ اﻟﺪﻣﺞ | | reciprocal | ﻣﻌﻜﻮسﺿﺮﺑﻲ |  |\n|  closure property |  | ﺧﺎﺻﻴﺔ اﻻﻧﻐﻼق | | number line | ﺧﻂ اﻷﻋﺪاد |  |\n|  commutative |  | ﺗﺒﺪﻳﻠﻲ | | numerator | ﺑﺴــﻂ |  |\n|  constant |  | ﺛﺎﺑﺖ | | perform | أﻧﺠﺰ |  |\n|  denominator |  | ﻣﻘﺎم | | product | ﺣﺎﺻﻞ ﺿﺮب |  |\n|  describe |  | ﻳﺼﻒ | | properties | ﺧﺼﺎﺋﺺ |  |\n|  determine |  | ﺣﺪد | | quotient | ﺧﺎرج اﻟﻘﺴﻤﺔ |  |\n|  difference |  | ﻓﺮق | | reflexive | إﻧﻌﻜﺎﺳﻴﺔ |  |\n| | distributive property | ﺧﺎﺻﻴﺔ اﻟﺘﻮزﻳﻊ | | repeating decimal | آﺴﺮ ﻋﺸﺮي\u003Cbr>ﻣﺘﻜﺮر |  |\n|  division |  | ﻗﺴﻤﺔ | | set | ﻣﺠﻤﻮﻋﺔ |  |\n|  element |  | ﻋﻨﺼﺮ | | sum | ﺣﺎﺻﻞ ﺟﻤﻊ |  |\n| | empty (null) set (φ) | ﻣﺠﻤﻮﻋﺔ ﺧﺎﻟﻴﺔ\u003Cbr>(φ) | | Sign:+, - | إﺷﺎرة +، - |  |\n|  equation |  | ﻣﻌﺎدﻟﺔ | | simplify | ﺑَﺴّــﻂ |  |\n|  equality |  | ﻳﺴﺎوي | | statement | ﺗﻘﺮﻳﺮ / ﻋﺒﺎرة |  |\n|  equivalent |  | ﻳﻜﺎﻓﺊ | | subset | ﻣﺠﻤﻮﻋﺔ\u003Cbr>ﺟﺰﺋﻴﺔ |  |\n|  expression |  | ﺗﻌﺒﻴﺮ | | substitution | ﺗﻌﻮﻳﺾ |  |\n|  factor (n) |  | ﻋﺎﻣﻞ | | subtraction | ﻃﺮح |  |\n|  finite |  | ﻣُﻨْﺘَﻪٍ | | symbol | رﻣــﺰ |  |\n|  identity element |  | ﻋﻨﺼﺮ ﻣﺤﺎﻳﺪ | | symmetry | ﺗﻨﺎﻇﺮ ) ﺗﻤﺎﺛﻞ ( |  |\n|  inequalities |  | اﻟﻤﺘﺒﺎﻳﻨﺎت | | terminating | ﻣﻨﻘﻄﻊ |  |\n|  infinite |  | ﻻ ﻧﻬﺎﺋﻲ | | transitive | إﻧﺘﻘﺎﻟﻲ |  |\n|  intersection |  | ﺗﻘﺎﻃﻊ | | union | إﺗﺤﺎد |  |\n|  |  |  |  |  |  |  |\n\n\n|  | 5 →  numerator \u003Cbr>6  → denominator | ‘2 is an element ofC’ 2 ∈ C | |\n| --- | --- | --- | --- |\n|  |  |  |  |\n|  |  |  |  |\n\n| set A is a subset of set B\u003Cbr>A⊆ B |  |  |  |\n| --- | --- | --- | --- |\n|  |  | 5 is a factor of 20 since 5 × 4 = 20 |  |\n|  |  |  |  |\n|  | if a ÷ b = c then\u003Cbr>a is the dividend ( اﻟﻤﻘﺴﻮم), b is the divisor ( اﻟﻘﺎﺳﻢ) and c is the quotient | a \u003C b‘ a is less than b ’\u003Cbr>a اﺻﻐﺮ ﻣﻦ b |  |\n|  | a > b' a is greater than b ’\u003Cbr>a اآﺒﺮ ﻣﻦ b | a ≥ b\u003Cbr>‘ a is greater than or equal b ’\u003Cbr>a اآﺒﺮ ﻣﻦ أو ﻳﺴﺎوي b |  |\n|  |  |  |  |\n|  | a ≤ b\u003Cbr>‘ a is less than or equal b ’\u003Cbr>a اﺻﻐﺮ ﻣﻦ أو ﻳﺴﺎوي b |  |  |\n|  |  |  |  |\n\nP.2  \n\n|  base |  | ﻗﺎﻋﺪة | | scientific notation | اﻟﺼﻴﻐﺔ اﻟﻌﻠﻤﻴﺔ |  |\n| --- | --- | --- | --- | -","cbCaivu7PXavurCb","https://ap.wps.com/l/cbCaivu7PXavurCb","pdf",249274,"English","# Real Numbers Related Vocabulary\n## Terminating, repeating, and nonterminating decimals\n## Rational, irrational, and real numbers\n## Prime and composite numbers\n## Fraction and rational number form\n# Chapter P Vocabulary\n## Core operations and inverses\n## Set notation and inequality symbols\n## Algebraic expressions and polynomials\n## Factoring and algebraic concepts","[{\"question\":\"What are terminating, repeating, and nonterminating decimals?\",\"answer\":\"Terminating decimals end after a finite number of digits, repeating decimals repeat a pattern, and nonterminating decimals do not end and may not repeat.\"},{\"question\":\"How are rational and irrational numbers distinguished?\",\"answer\":\"Rational numbers can be written in the form p/q with integers p and q≠0, while irrational numbers cannot be written that way and include values like π.\"},{\"question\":\"What vocabulary terms are included in Chapter P beyond real numbers?\",\"answer\":\"The chapter also lists algebra and set-related terms such as absolute value, inverses, properties, number line, numerator/denominator, equations and inequalities, and concepts like polynomials and factoring.\"}]","King Fahd University of Petroleum & Minerals Prep-Year Math Program - Chapter P Vocabulary | PDF",1790653865,23]