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An accompanying answer key provides the correct choices for problems 1 through 10, including combinations such as 0.4 × 7 × 5 and 1⁄3 × 7 × 3.",{"@graph":14,"@context":73},[15,34,56],{"@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/480809/",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/480809.png","ImageObject",300,407,{"name":42,"@type":43},"Bulrr","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What skill do these questions test?","Question",{"text":63,"@type":64},"They test the ability to recognize equivalent expressions and choose forms that simplify calculations using operations like regrouping and distribution.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What kinds of expressions are included?",{"text":68,"@type":64},"The problems include products of decimals and fractions and sums of decimals/fractions, often written in multiple equivalent options.",{"name":70,"@type":61,"acceptedAnswer":71},"Is there an answer key for checking work?",{"text":72,"@type":64},"Yes. 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(0 .4 × 5) × 7\u003Cbr>C. (0 .4 + 5) × 7 D. (0 .4 × 5) × 8 |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.   |  |  |  |\n| 2) | Which expression is equal to 1⁄ 3 × 7 × 3?\u003Cbr>A. 1⁄ 3 × (7 + 3) B. | ( 1⁄ 3 + 3) × 7 |  |  |  |  |  |  | 3.   |  |  |  |\n| 3) | C. ( 1⁄ 3 × 3) × 8 D. Which expression is equal to 1.25 + 6.4 + 3.75?\u003Cbr>A. (1 .25 + 3 .75) + 7.4 B.\u003Cbr>C. 1.25 + (6 .4 × 3 .75) D. | ( 1⁄ 3 × 3) × 7\u003Cbr>(1 .25 × 3 .75) + 6.4\u003Cbr>(1 .25 + 3 .75) + 6.4 |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | Which expression is equal to 1⁄ 6 + 5 + 5⁄ 6?\u003Cbr>A. ( 1⁄ 6 + 5⁄ 6) + 6 B. | ( 1⁄ 6 × 5⁄ 6) + 5 |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |\n| 5) | C. ( 1⁄ 6 + 5⁄ 6) + 5 D. Which expression is equal to 4.75 + 4.4 + 5.25?\u003Cbr>A. (4 .75 + 5 .25) + 4.4 B.\u003Cbr>C. (4 .75 + 5 .25) + 5.4 D. | 1⁄ 6 + (5 × 5⁄ 6)\u003Cbr>4.75 + (4.4 × 5.25)\u003Cbr>(4 .75 × 5 .25) + 4.4 |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 6) | Which expression is equal to 2.5 × 8 × 4?\u003Cbr>A. (2 . 5 + 4) × 8 B.\u003Cbr>C. 2.5 × (8 + 4) D. | (2 . 5 × 4) × 8\u003Cbr>(2 . 5 × 4) × 9 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | Which expression is equal to 3⁄ 4 × 9 × 4? |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | A. 3⁄ 4 × (9 + 4) B.\u003Cbr>C. ( 3⁄ 4 × 4) × 10 D. Which expression is equal to 1⁄ 4 + 6 + 3⁄ 4? | ( 3⁄ 4 × 4) × 9\u003Cbr>( 3⁄ 4 + 4) × 9 |  |  |  |  |  |  |  |  |  |  |\n| 9) | A. ( 1⁄ 4 + 3⁄ 4) + 7 B.\u003Cbr>C. ( 1⁄ 4 + 3⁄ 4) + 6 D. Which expression is equal to 0.5 × 8 × 2?\u003Cbr>A. (0 . 5 × 2) × 9 B.\u003Cbr>C. (0 . 5 + 2) × 8 D. | ( 1⁄ 4 × 3⁄ 4) + 6 1⁄ 4 + (6 × 3⁄ 4)\u003Cbr>(0 . 5 × 2) × 8 0.5 × (8 + 2) |  |  |  |  |  |  |  |  |  |  |\n| 10) | Which expression is equal to 5⁄ 12 + 8 + 7⁄ 12?\u003Cbr>A. ( 5⁄ 12 + 7⁄ 12) + 9 B.\u003Cbr>C. ( 5⁄ 12 × 7⁄ 12) + 8 D. | ( 5⁄ 12 + 7⁄ 12) + 8\u003Cbr>5⁄ 12 + (8 × 7⁄ 12) |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \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 0.4 × 7 × 5?\u003Cbr>A. 0.4 × (7 + 5) B. (0 .4 × 5) × 7\u003Cbr>C. (0 .4 + 5) × 7 D. (0 .4 × 5) × 8 |  |  |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  B \u003Cbr>2.  D  |  |  |  |  |\n| 2) | Which expression is equal to 1⁄ 3 × 7 × 3?\u003Cbr>A. 1⁄ 3 × (7 + 3) B. |  | ( 1⁄ 3 + 3) × 7 |  |  |  |  |  |  | 3. |  | D |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | C. ( 1⁄ 3 × 3) × 8\u003Cbr>Which expression is equal to A. (1 .25 + 3 .75) + 7.4\u003Cbr>C. 1.25 + (6 .4 × 3 .75) | D.\u003Cbr>1.25 + 6.4 + 3.75?\u003Cbr>B.\u003Cbr>D. | ( 1⁄ 3 × 3) × 7\u003Cbr>(1 .25 × 3 .75) + 6.4\u003Cbr>(1 .25 + 3 .75) + 6.4 |  |  |  |  |  |  | 4.\u003Cbr>5.\u003Cbr>6. |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | B |  |  |\n| 4) | Which expression is equal to A. ( 1⁄ 6 + 5⁄ 6) + 6 | 1⁄ 6 + 5 + 5⁄ 6?\u003Cbr>B. | ( 1⁄ 6 × 5⁄ 6) + 5 |  |  |  |  |  |  | 7. |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | C. ( 1⁄ 6 + 5⁄ 6) + 5\u003Cbr>Which expression is equal to A. (4 .75 + 5 .25) + 4.4\u003Cbr>C. (4 .75 + 5 .25) + 5.4 | D.\u003Cbr>4.75 + 4.4 + 5.25?\u003Cbr>B.\u003Cbr>D. | 1⁄ 6 + (5 × 5⁄ 6)\u003Cbr>4.75 + (4.4 × 5.25)\u003Cbr>(4 .75 × 5 .25) + 4.4 |  |  |  |  |  |  | 8.\u003Cbr>9. |  | C |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | B |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | Which expression is equal to A. (2 . 5 + 4) × 8\u003Cbr>C. 2.5 × (8 + 4) | 2.5 × 8 × 4?\u003Cbr>B.\u003Cbr>D. | (2 . 5 × 4) × 8\u003Cbr>(2 . 5 × 4) × 9 |  |","cbCaikTX9wLijZQU","https://ap.wps.com/l/cbCaikTX9wLijZQU","pdf",47068,"English","# Choose the expression that is equal and easier to solve\n## Problems 1-10 (decimals and fractions)\n## Answer key","[{\"question\":\"What skill do these questions test?\",\"answer\":\"They test the ability to recognize equivalent expressions and choose forms that simplify calculations using operations like regrouping and distribution.\"},{\"question\":\"What kinds of expressions are included?\",\"answer\":\"The problems include products of decimals and fractions and sums of decimals/fractions, often written in multiple equivalent options.\"},{\"question\":\"Is there an answer key for checking work?\",\"answer\":\"Yes. The document includes an “Answer Key” that lists correct answers for problems 1 through 10.\"}]","Choosing an Equivalent Expression - Decimals and Fractions | PDF",1790795628]