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Items test flexible re-grouping and the distributive property, comparing alternative forms such as regrouping sums within parentheses, rearranging multiplication order, and combining fractional terms with decimal addends. An answer key section supports checking results for multiple-choice selections.",{"@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/choosing-an-equivalent-expression-decimals-and-fractions-choose-the-equal-expression/480805/",{"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/choosing-an-equivalent-expression-decimals-and-fractions-choose-the-equal-expression/480805.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill do these questions test?","Question",{"text":112,"@type":113},"They test selecting equivalent algebraic/arithmetic expressions, especially when using decimals and fractions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of transformations appear in the choices?",{"text":117,"@type":113},"Choices involve regrouping terms with parentheses, comparing different multiplication/addition orderings, and using equivalent forms that simplify the computation.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there an answer key included?",{"text":121,"@type":113},"Yes. The document includes an answer key section that lists the correct choices for each question.","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},480805,1792834296,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},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>( 3⁄ 8 + 8) × 5 |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 1) | Which expression is equal to 3⁄ 8 × 5 × 8?\u003Cbr>A. 3⁄ 8 × (5 + 8) B. |  |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | C. ( 3⁄ 8 × 8) × 6 D. Which expression is equal to 2.6 + 8.7 + 7.4?\u003Cbr>A. (2 . 6 + 7 .4) + 8.7 B.\u003Cbr>C. (2 . 6 + 7 .4) + 9.7 D. |  | ( 3⁄ 8 × 8) × 5\u003Cbr>(2 . 6 × 7 .4) + 8.7\u003Cbr>2.6 + (8.7 × 7.4) |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | Which expression is equal to A. (0 .8 + 5) × 6\u003Cbr>C. (0 .8 × 5) × 6 | 0.8 × 6 × 5?\u003Cbr>B.\u003Cbr>D. | (0 .8 × 5) × 7\u003Cbr>0.8 × (6 + 5) |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | Which expression is equal to A. ( 2⁄ 5 × 3⁄ 5) + 4 | 2⁄ 5 + 4 + 3⁄ 5?\u003Cbr>B. | ( 2⁄ 5 + 3⁄ 5) + 4 |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |\n| 5) | C. ( 2⁄ 5 + 3⁄ 5) + 5\u003Cbr>Which expression is equal to A. (0 . 5 × 2) × 3\u003Cbr>C. (0 . 5 + 2) × 3 | D.\u003Cbr>0.5 × 3 × 2?\u003Cbr>B.\u003Cbr>D. | 2⁄ 5 + (4 × 3⁄ 5)\u003Cbr>(0 . 5 × 2) × 4\u003Cbr>0.5 × (3 + 2) |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 6) | Which expression is equal to A. (2 .25 + 0 .75) + 6.9\u003Cbr>C. (2 .25 + 0 .75) + 7.9 | 2.25 + 6.9 + 0.75?\u003Cbr>B.\u003Cbr>D. | 2.25 + (6.9 × 0.75)\u003Cbr>(2 .25 × 0 .75) + 6.9 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | Which expression is equal to | 1⁄ 10 + 3 + 9⁄ 10? |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | A. ( 1⁄ 10 + 9⁄ 10) + 3\u003Cbr>C. ( 1⁄ 10 × 9⁄ 10) + 3 Which expression is equal to | B.\u003Cbr>D.\u003Cbr>5\u003Cbr>⁄ 6 × 3 × 6? | ( 1⁄ 10 + 9⁄ 10) + 4\u003Cbr>1⁄ 10 + (3 × 9⁄ 10) |  |  |  |  |  |  |  |  |  |  |\n| 9) | A. ( 5⁄ 6 × 6) × 3\u003Cbr>C. 5⁄ 6 × (3 + 6)\u003Cbr>Which expression is equal to A. (0 .35 + 0 . 65) + 8.6\u003Cbr>C. (0 .35 × 0 . 65) + 8.6 | B.\u003Cbr>D.\u003Cbr>0.35 + 8.6 + 0.65?\u003Cbr>B.\u003Cbr>D. | ( 5⁄ 6 + 6) × 3\u003Cbr>( 5⁄ 6 × 6) × 4\u003Cbr>(0 .35 + 0 . 65) + 9.6 0.35 + (8.6 × 0.65) |  |  |  |  |  |  |  |  |  |  |\n| 10) | Which expression is equal to\u003Cbr>A. ( 2⁄ 5 × 5) × 8\u003Cbr>C. ( 2⁄ 5 × 5) × 9 | 2\u003Cbr>⁄ 5 × 8 × 5?\u003Cbr>B.\u003Cbr>D. | 2⁄ 5 × (8 + 5)\u003Cbr>( 2⁄ 5 + 5) × 8 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \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>( 3⁄ 8 + 8) × 5 |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1. |  | D |  |  |\n| 1) | Which expression is equal to 3⁄ 8 × 5 × 8?\u003Cbr>A. 3⁄ 8 × (5 + 8) B. |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | C. ( 3⁄ 8 × 8) × 6 D. Which expression is equal to 2.6 + 8.7 + 7.4?\u003Cbr>A. (2 . 6 + 7 .4) + 8.7 B.\u003Cbr>C. (2 . 6 + 7 .4) + 9.7 D. |  | ( 3⁄ 8 × 8) × 5\u003Cbr>(2 . 6 × 7 .4) + 8.7\u003Cbr>2.6 + (8.7 × 7.4) |  |  |  |  |  |  | 2.\u003Cbr>3.\u003Cbr>4. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | B |  |  |\n| 3) | Which expression is equal to A. (0 .8 + 5) × 6\u003Cbr>C. (0 .8 × 5) × 6 | 0.8 × 6 × 5?\u003Cbr>B.\u003Cbr>D. | (0 .8 × 5) × 7\u003Cbr>0.8 × (6 + 5) |  |  |  |  |  |  | 5.\u003Cbr>6. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | A |  |  |\n| 4) | Which expression is equal to A. ( 2⁄ 5 × 3⁄ 5) + 4 | 2⁄ 5 + 4 + 3⁄ 5?\u003Cbr>B. | ( 2⁄ 5 + 3⁄ 5) + 4 |  |  |  |  |  |  | 7. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | C. ( 2⁄ 5 + 3⁄ 5) + 5\u003Cbr>Which expression is equal to A. (0 . 5 × 2) × 3\u003Cbr>C. (0 . 5 + 2) × 3 | D.\u003Cbr>0.5 × 3 × 2?\u003Cbr>B.\u003Cbr>D. | 2⁄ 5 + (4 × 3⁄ 5)\u003Cbr>(0 . 5 × 2) × 4\u003Cbr>0.5 × (3 + 2) |  |  |  |  |  |  | 8.\u003Cbr>9. |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | A |  |  |\n|  |  |  | ","cbCaitT4bHoY6tdp","https://ap.wps.com/l/cbCaitT4bHoY6tdp","pdf",46993,"English","# Choose the equal expression that is easier to solve\n## Fraction and decimal equivalence questions\n## Answer key","[{\"question\":\"What skill do these questions test?\",\"answer\":\"They test selecting equivalent algebraic/arithmetic expressions, especially when using decimals and fractions.\"},{\"question\":\"What types of transformations appear in the choices?\",\"answer\":\"Choices involve regrouping terms with parentheses, comparing different multiplication/addition orderings, and using equivalent forms that simplify the computation.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. The document includes an answer key section that lists the correct choices for each question.\"}]","Choosing an Equivalent Expression - Decimals and Fractions - Choose the equal expression | PDF",1790795621]