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Problems cover combinations of multiplication, addition, and parentheses to improve accuracy in expression equivalence.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/choosing-an-equivalent-expression-decimals-and-fractions/480808/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/choosing-an-equivalent-expression-decimals-and-fractions/480808.png","ImageObject",300,407,{"name":42,"@type":43},"Bulrr","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What skills are tested in these problems?","Question",{"text":62,"@type":63},"The questions test recognizing equivalent expressions using properties like associativity and the distributive property for decimals and fractions.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are the problems structured?",{"text":67,"@type":63},"Each item is multiple choice, asking students to choose which rewritten expression is equal to the given target expression.",{"name":69,"@type":60,"acceptedAnswer":70},"Is there an answer key included?",{"text":71,"@type":63},"Yes. The document includes a corresponding answer key listing the correct choices for questions 1 through 10.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},480808,1792811733,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Choosing an Equivalent Expression (Decimals and Fractions) Name:  \n\n| Choose the expression that is equal and is easier to solve.\u003Cbr>1) Which expression is equal to 0.8 × 4 × 5?\u003Cbr>A. (0 .8 × 5) × 4 B. (0 .8 × 5) × 5\u003Cbr>C. (0 .8 + 5) × 4 D. 0.8 × (4 + 5) |  |  | Answers |\n| --- | --- | --- | --- |\n|  |  |  | 1.  \u003Cbr>2. |\n| 2) | Which expression is equal to\u003Cbr>A. ( 3⁄ 10 + 7⁄ 10) + 7\u003Cbr>C. ( 3⁄ 10 × 7⁄ 10) + 7 | 3⁄ 10 + 7 + 7⁄ 10?\u003Cbr>B. ( 3⁄ 10 + 7⁄ 10) + 8\u003Cbr>D. 3⁄ 10 + (7 × 7⁄ 10) | 3.  \u003Cbr>4.   |\n| 3) | Which expression is equal to A. 7⁄ 10 × (6 + 10) | 7\u003Cbr>⁄ 10 × 6 × 10?\u003Cbr>B. ( 7⁄ 10 × 10) × 6 | 5.   |\n| 4) | C. ( 7⁄ 10 × 10) × 7\u003Cbr>Which expression is equal to A. (2 .25 + 0 .75) + 3.2\u003Cbr>C. (2 .25 × 0 .75) + 3.2 | D. ( 7⁄ 10 + 10) × 6\u003Cbr>2.25 + 3.2 + 0.75?\u003Cbr>B. 2.25 + (3 .2 × 0 .75)\u003Cbr>D. (2 .25 + 0 .75) + 4.2 | 6.  \u003Cbr>7.   |\n| 5) | Which expression is equal to A. 2.5 × (5 + 4)\u003Cbr>C. (2 . 5 × 4) × 5 | 2.5 × 5 × 4?\u003Cbr>B. (2 . 5 × 4) × 6\u003Cbr>D. (2 . 5 + 4) × 5 | 8.  \u003Cbr>9.   |\n| 6) | Which expression is equal to | 5\u003Cbr>⁄ 8 × 9 × 8? | 10.   |\n| 7) | A. ( 5⁄ 8 × 8) × 9\u003Cbr>C. 5⁄ 8 × (9 + 8)\u003Cbr>Which expression is equal to | B. ( 5⁄ 8 × 8) × 10\u003Cbr>D. ( 5⁄ 8 + 8) × 9\u003Cbr>1 9\u003Cbr>⁄ 10 + 9 + ⁄ 10? |  |\n| 8) | A. 1⁄ 10 + (9 × 9⁄ 10)\u003Cbr>C. ( 1⁄ 10 × 9⁄ 10) + 9 Which expression is equal to\u003Cbr>A. 4.75 + (2 .3 × 5 .25)\u003Cbr>C. (4 .75 + 5 .25) + 2.3 | B. ( 1⁄ 10 + 9⁄ 10) + 9\u003Cbr>D. ( 1⁄ 10 + 9⁄ 10) + 10\u003Cbr>4.75 + 2.3 + 5.25?\u003Cbr>B. (4 .75 × 5 .25) + 2.3\u003Cbr>D. (4 .75 + 5 .25) + 3.3 |  |\n| 9) | Which expression is equal to A. (8 .9 + 1 . 1) + 10.7\u003Cbr>C. (8 .9 × 1 . 1) + 9.7 | 8.9 + 9.7 + 1.1?\u003Cbr>B. (8 .9 + 1 . 1) + 9.7\u003Cbr>D. 8.9 + (9 .7 × 1 . 1) |  |\n| 10) | Which expression is equal to A. (1 . 5 + 2) × 4\u003Cbr>C. (1 . 5 × 2) × 5 | 1.5 × 4 × 2?\u003Cbr>B. 1.5 × (4 + 2)\u003Cbr>D. (1 . 5 × 2) × 4 |  |\n\n[Math](Math www.CommonCoreSheets.com 6 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6 1-10)[ 6](Math www.CommonCoreSheets.com 6 1-10)[ 1-10](Math www.CommonCoreSheets.com 6 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\n Choosing an Equivalent Expression (Decimals and Fractions) Name: Answer Key  \n\n| Choose the expression that is equal and is easier to solve.\u003Cbr>1) Which expression is equal to 0.8 × 4 × 5?\u003Cbr>A. (0 .8 × 5) × 4 B. (0 .8 × 5) × 5\u003Cbr>C. (0 .8 + 5) × 4 D. 0.8 × (4 + 5) |  |  | Answers |  |\n| --- | --- | --- | --- | --- |\n|  |  |  | 1.  A \u003Cbr>2. A |  |\n| 2) | Which expression is equal to\u003Cbr>A. ( 3⁄ 10 + 7⁄ 10) + 7\u003Cbr>C. ( 3⁄ 10 × 7⁄ 10) + 7 | 3⁄ 10 + 7 + 7⁄ 10?\u003Cbr>B. ( 3⁄ 10 + 7⁄ 10) + 8\u003Cbr>D. 3⁄ 10 + (7 × 7⁄ 10) | 3.\u003Cbr>4. | B |\n|  |  |  |  | A |\n|  |  |  |  |  |\n| 3) | Which expression is equal to A. 7⁄ 10 × (6 + 10) | 7\u003Cbr>⁄ 10 × 6 × 10?\u003Cbr>B. ( 7⁄ 10 × 10) × 6 | 5. | C |\n|  |  |  |  |  |\n| 4) | C. ( 7⁄ 10 × 10) × 7\u003Cbr>Which expression is equal to A. (2 .25 + 0 .75) + 3.2\u003Cbr>C. (2 .25 × 0 .75) + 3.2 | D. ( 7⁄ 10 + 10) × 6\u003Cbr>2.25 + 3.2 + 0.75?\u003Cbr>B. 2.25 + (3 .2 × 0 .75)\u003Cbr>D. (2 .25 + 0 .75) + 4.2 | 6.\u003Cbr>7. | A |\n|  |  |  |  | B |\n|  |  |  |  |  |\n| 5) | Which expression is equal to A. 2.5 × (5 + 4)\u003Cbr>C. (2 . 5 × 4) × 5 | 2.5 × 5 × 4?\u003Cbr>B. (2 . 5 × 4) × 6\u003Cbr>D. (2 . 5 + 4) × 5 | 8.\u003Cbr>9. | C |\n|  |  |  |  | B |\n|  |  |  |  |  |\n| 6) | Which expression is equal to | 5\u003Cbr>⁄ 8 × 9 × 8? | 10. | D |\n|  |  |  |  |  |\n| 7) | A. ( 5⁄ 8 × 8) × 9\u003Cbr>C. 5⁄ 8 × (9 + 8)\u003Cbr>Which expression is equal to | B. ( 5⁄ 8 × 8) × 10\u003Cbr>D. ( 5⁄ 8 + 8) × 9\u003Cbr>1 9\u003Cbr>⁄ 10 + 9 + ⁄ 10? |  |  |\n| 8) | A. 1⁄ 10 + (9 × 9⁄ 10)\u003Cbr>C. ( 1⁄ 10 × 9⁄ 10) + 9 Which expression is equal to\u003Cbr>A. 4.75 + (2 .3 × 5 .25)\u003Cbr>C. (4 .75 + 5 .25) + 2.3 | B. ( 1⁄ 10 + 9⁄ 10) + 9\u003Cbr>D. ( 1⁄ 10 + 9⁄ 10) + 10\u003Cbr>4.75 + 2.3 + 5.25?\u003Cbr>B. (4 .75 × 5 .25) + 2.3\u003Cbr>D. (4 .75 + 5 .25) + 3.3 |  |  |\n| 9) | Which expression is equal to A. (8 .9 + 1 . 1) + 10.7\u003Cbr>C. (8 .9 × 1 . 1) + 9.7 | 8.9 + 9.7 + 1.1?\u003Cbr>B. (8 .9 + 1 . 1) + 9.7\u003Cbr>D. 8.9 + (9 .7 × 1 . 1) |  |  |\n| 10) | Which expression is e","cbCaislZjZkBszVb","https://ap.wps.com/l/cbCaislZjZkBszVb","pdf",46813,"English","# Choose the expression that is equal and is easier to solve\n## Questions 1-10","[{\"question\":\"What skills are tested in these problems?\",\"answer\":\"The questions test recognizing equivalent expressions using properties like associativity and the distributive property for decimals and fractions.\"},{\"question\":\"How are the problems structured?\",\"answer\":\"Each item is multiple choice, asking students to choose which rewritten expression is equal to the given target expression.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. The document includes a corresponding answer key listing the correct choices for questions 1 through 10.\"}]","Choosing an Equivalent Expression - Decimals and Fractions | PDF",1790795628]