[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464060-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-464060-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","finding-relative-value-with-powers-of-ten-decimal-answers-for-each-problem","Finding Relative Value with Powers of Ten - Decimal Answers for Each Problem","","Worksheet practice on comparing quantities using powers of ten. Students solve nine prompts that state one expression, such as 3×10^6 or 7×10^3, and require finding how many times larger or the relative value compared to a second power-of-ten expression, such as 9×10^8 or 3×10^6. Responses may be written as decimals when needed, with a provided answer key showing each computed result.",{"@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/finding-relative-value-with-powers-of-ten-decimal-answers-for-each-problem/464060/",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/finding-relative-value-with-powers-of-ten-decimal-answers-for-each-problem/464060.png","ImageObject",300,407,{"name":42,"@type":43},"Finn","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","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 do the problems ask you to find?","Question",{"text":63,"@type":64},"Each problem asks for the relative value of one power-of-ten expression compared to another, expressed as a decimal if necessary.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Can answers be written as decimals?",{"text":68,"@type":64},"Yes. The worksheet instructs students to answer as a decimal when needed.",{"name":70,"@type":61,"acceptedAnswer":71},"How should you compare two expressions with powers of ten?",{"text":72,"@type":64},"Determine the ratio between the two expressions by using their coefficients and the difference in exponents, then express the result as the required relative value.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},464060,1790767598,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"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":80,"read_time":110},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","Finding Relative Value with Powers of Ten  \nName:  \n\n| Solve each problem. Answer as a decimal (if necessary).\u003Cbr>1) 3 × 106 is   × the value of 9 × 108 |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 3 × 103 is   × the value of 7 × 105 |  | 2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) | 7 × 103 is   × the value of 3 × 106 |  | 5.  \u003Cbr>6.   |  |  |  |  |  |  |  |\n| 4) | 7 × 102 is   × the value of 2 × 105 |  | 7.  \u003Cbr>8.   |  |  |  |  |  |  |  |\n| 5) | 8 × 109 is   × the value of 3 × 106 |  | 9.   |  |  |  |  |  |  |  |\n| 6) | 4 × 108 is   × the value of 7 × 102 |  |  |  |  |  |  |  |  |  |\n| 7) | 8 × 105 is   × the value of 4 × 103 |  |  |  |  |  |  |  |  |  |\n| 8) | 7 × 108 is   × the value of 4 × 105 |  |  |  |  |  |  |  |  |  |\n| 9) | 5 × 103 is   × the value of 4 × 102 |  |  |  |  |  |  |  |  |  |\n|  | 1-9 | 89 | 78 | 67 | 56 | 44 | 33 | 22 | 11 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nFinding Relative Value with Powers of Ten  \nName: Answer Key  \n\n| Solve each problem. Answer as a decimal (if necessary).\u003Cbr>1) 3 × 106 is   × the value of 9 × 108\u003Cbr>~~ ~~39~~ ~~~~ ~~101068~~ ~~ = ~~ ~~39~~ ~~ × ~~ ~~101068~~ ~~ = ~~ ~~13~~ ~~ × 10-2 = 0.333 × 10-2 |  |  |  |  |  | 1.\u003Cbr>2. | Answers\u003Cbr>0.00333 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 0.00429 |\n|  |  |  |  |  |  |  |  |\n| 2) | 3 × 103 is   × the value of 7 × 105 |  |  | = | 0.429 × 10-2 | 3.\u003Cbr>4. | 0.002333 |\n|  |  3 × 103  7 × 105 | = ~~ ~~37~~ ~~ × ~~ ~~101035~~ ~~ | = ~~ ~~37~~ ~~ × 10-2 |  |  |  |  |\n|  |  |  |  |  |  |  | 0.0035 |\n|  |  |  |  |  |  |  |  |\n| 3) | 7 × 103 is   × the value of 3 × 106 |  |  | = | 2.333 × 10-3 | 5.\u003Cbr>6. | 2,667 |\n|  |  |  |  |  |  |  | 571,000 |\n|  |  7 × 103  3 × 106 | = ~~ ~~73~~ ~~ × ~~ ~~101036~~ ~~ | = ~~ ~~73~~ ~~ × 10-3 |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 4) | 7 × 102 is   × the value of 2 × 105 |  |  | = | 3.5 × 10-3 | 7.\u003Cbr>8. | 200 |\n|  |  |  |  |  |  |  | 1,750 |\n|  |  7 × 102  2 × 105 | = ~~ ~~72~~ ~~ × ~~ ~~101025~~ ~~ | = ~~ ~~72~~ ~~ × 10-3 |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 5) | 8 × 109 is   × the value of 3 × 106 |  |  | = | 2.667 × 103 | 9. | 12.5 |\n|  |  |  |  |  |  |  |  |\n|  |  8 × 109  3 × 106 | = ~~ ~~83~~ ~~ × ~~ ~~101096~~ ~~ | = ~~ ~~83~~ ~~ × 103 |  |  |  |  |\n| 6) | 4 × 108 is   × the value of 7 × 102 |  |  | = | 0.571 × 106 |  |  |\n|  |  4 × 108  7 × 102 | = ~~ ~~47~~ ~~ × ~~ ~~101082~~ ~~ | = ~~ ~~47~~ ~~ × 106 |  |  |  |  |\n| 7) | 8 × 105 is   × the value of 4 × 103 |  |  | = | 2 × 102 |  |  |\n|  |  8 × 105  4 × 103 | = ~~ ~~84~~ ~~ × ~~ ~~101053~~ ~~ | = ~~ ~~21~~ ~~ × 102 |  |  |  |  |\n| 8) | 7 × 108 is   × the value of 4 × 105 |  |  | = | 1.75 × 103 |  |  |\n|  |  7 × 108  4 × 105 | = ~~ ~~74~~ ~~ × ~~ ~~101085~~ ~~ | = ~~ ~~74~~ ~~ × 103 |  |  |  |  |\n| 9) | 5 × 103 is   × the value of 4 × 102 |  |  | = | 1.25 × 101 |  |  |\n|  |  5 × 103  4 × 102 | = ~~ ~~54~~ ~~ × ~~ ~~101032~~ ~~ | = ~~ ~~54~~ ~~ × 101 |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-9)[ 1](Math www.CommonCoreSheets.com 1 1-9)[ 1-9](Math www.CommonCoreSheets.com 1 1-9) 89 78 67 56 44 33 22 11 0  \n\n|  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nFinding Relative Value with Powers of Ten  \nName:  \n\n| Solve each problem. Answer as a decimal (if necessary). | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 2,667 0.0035 571,000 0.00429\u003Cbr>0.00333 0.002333 |  |  |  |  |  |  |  |\n| 1) 3 × 106 is   × the value of 9 × 108\u003Cbr>2) 3 × 103 is   × the value of 7 × 105\u003Cbr>3) 7 × 103 is   × the value of 3 × 106\u003Cbr>4) 7 × 102 is   × the value of 2 × 105\u003Cbr>5) 8 × 109 is   × the value of 3 × 106\u003Cbr>6) 4 × 108 is   × the value of 7 × 102 |  |","cbCaivDYPTXA6Z3t","https://ap.wps.com/l/cbCaivDYPTXA6Z3t","pdf",47128,"English","# Solve Each Problem\n## Questions 1-9","[{\"question\":\"What do the problems ask you to find?\",\"answer\":\"Each problem asks for the relative value of one power-of-ten expression compared to another, expressed as a decimal if necessary.\"},{\"question\":\"Can answers be written as decimals?\",\"answer\":\"Yes. The worksheet instructs students to answer as a decimal when needed.\"},{\"question\":\"How should you compare two expressions with powers of ten?\",\"answer\":\"Determine the ratio between the two expressions by using their coefficients and the difference in exponents, then express the result as the required relative value.\"}]","Finding Relative Value with Powers of Ten - Decimal Answers for Each Problem | PDF"]