[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467276-105":59,"doc-detail-467276-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","finding-relative-value-with-powers-of-ten-solve-each-problem-answer-as-a-decimal","Finding Relative Value with Powers of Ten - solve each problem - answer as a decimal","","Practice sheet and answer key for comparing magnitudes using powers of ten. Students solve nine equations of the form “a × 10^m is ___ times the value of b × 10^n,” then write each result as a decimal if needed. The key demonstrates converting relative value by adjusting exponents, producing decimal factors such as 0.0012, 0.0000778, 0.444 × 10^-3, 1.143 × 10^5, 2,000, and 0.857 × 10^-2.",{"@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/finding-relative-value-with-powers-of-ten-solve-each-problem-answer-as-a-decimal/467276/",{"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/finding-relative-value-with-powers-of-ten-solve-each-problem-answer-as-a-decimal/467276.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","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 does the worksheet ask students to find using powers of ten?","Question",{"text":112,"@type":113},"It asks students to determine how many times one powered expression is the value of another, written as a decimal if needed.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are answers typically expressed in this worksheet?",{"text":117,"@type":113},"Answers are written as decimals when necessary, reflecting the relative factor between two numbers expressed with powers of ten.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the answer key show the method?",{"text":121,"@type":113},"It compares exponents of powers of ten and then computes the relative multiplicative factor, producing numeric decimal results for each item.","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},467276,1792794820,{"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},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Finding Relative Value with Powers of Ten  \nName:  \n\n| Solve each problem. Answer as a decimal (if necessary).\u003Cbr>1) 6 × 106 is   × the value of 5 × 109 |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 7 × 105 is   × the value of 9 × 109 |  | 2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) | 4 × 103 is   × the value of 9 × 106 |  | 5.  \u003Cbr>6.   |  |  |  |  |  |  |  |\n| 4) | 8 × 108 is   × the value of 7 × 103 |  | 7.  \u003Cbr>8.   |  |  |  |  |  |  |  |\n| 5) | 4 × 109 is   × the value of 7 × 108 |  | 9.   |  |  |  |  |  |  |  |\n| 6) | 6 × 102 is   × the value of 7 × 104 |  |  |  |  |  |  |  |  |  |\n| 7) | 5 × 108 is   × the value of 7 × 109 |  |  |  |  |  |  |  |  |  |\n| 8) | 9 × 106 is   × the value of 2 × 104 |  |  |  |  |  |  |  |  |  |\n| 9) | 8 × 108 is   × the value of 4 × 105 |  |  |  |  |  |  |  |  |  |\n|  | 1-9 | 89 | 78 | 67 | 56 | 44 | 33 | 22 | 11 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nFinding Relative Value with Powers of Ten  \nName: Answer Key  \n\n| Solve each problem. Answer as a decimal (if necessary).\u003Cbr>1) 6 × 106 is   × the value of 5 × 109\u003Cbr>~~ ~~65~~ ~~~~ ~~101069~~ ~~ = ~~ ~~65~~ ~~ × ~~ ~~101069~~ ~~ = ~~ ~~65~~ ~~ × 10-3 = 1.2 × 10-3 |  |  |  |  |  | 1.\u003Cbr>2. | Answers\u003Cbr>0.0012 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 0.0000778 |\n|  |  |  |  |  |  |  |  |\n| 2) | 7 × 105 is   × the value of 9 × 109 |  |  | = | 0.778 × 10-4 | 3.\u003Cbr>4. | 0.000444 |\n|  |  7 × 105  9 × 109 | = ~~ ~~79~~ ~~ × ~~ ~~101059~~ ~~ | = ~~ ~~79~~ ~~ × 10-4 |  |  |  |  |\n|  |  |  |  |  |  |  | 114,300 |\n|  |  |  |  |  |  |  |  |\n| 3) | 4 × 103 is   × the value of 9 × 106 |  |  | = | 0.444 × 10-3 | 5.\u003Cbr>6. | 5.71 |\n|  |  |  |  |  |  |  | 0.00857 |\n|  |  4 × 103  9 × 106 | = ~~ ~~49~~ ~~ × ~~ ~~101036~~ ~~ | = ~~ ~~49~~ ~~ × 10-3 |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 4) | 8 × 108 is   × the value of 7 × 103 |  |  | = | 1.143 × 105 | 7.\u003Cbr>8. | 0.0714 |\n|  |  |  |  |  |  |  | 450 |\n|  |  8 × 108  7 × 103 | = ~~ ~~87~~ ~~ × ~~ ~~101083~~ ~~ | = ~~ ~~87~~ ~~ × 105 |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 5) | 4 × 109 is   × the value of 7 × 108 |  |  | = | 0.571 × 101 | 9. | 2,000 |\n|  |  |  |  |  |  |  |  |\n|  |  4 × 109  7 × 108 | = ~~ ~~47~~ ~~ × ~~ ~~101098~~ ~~ | = ~~ ~~47~~ ~~ × 101 |  |  |  |  |\n| 6) | 6 × 102 is   × the value of 7 × 104 |  |  | = | 0.857 × 10-2 |  |  |\n|  |  6 × 102  7 × 104 | = ~~ ~~67~~ ~~ × ~~ ~~101024~~ ~~ | = ~~ ~~67~~ ~~ × 10-2 |  |  |  |  |\n| 7) | 5 × 108 is   × the value of 7 × 109 |  |  | = | 0.714 × 10-1 |  |  |\n|  |  5 × 108  7 × 109 | = ~~ ~~57~~ ~~ × ~~ ~~101089~~ ~~ | = ~~ ~~57~~ ~~ × 10-1 |  |  |  |  |\n| 8) | 9 × 106 is   × the value of 2 × 104 |  |  | = | 4.5 × 102 |  |  |\n|  |  9 × 106  2 × 104 | = ~~ ~~92~~ ~~ × ~~ ~~101064~~ ~~ | = ~~ ~~92~~ ~~ × 102 |  |  |  |  |\n| 9) | 8 × 108 is   × the value of 4 × 105 |  |  | = | 2 × 103 |  |  |\n|  |  8 × 108  4 × 105 | = ~~ ~~84~~ ~~ × ~~ ~~101085~~ ~~ | = ~~ ~~21~~ ~~ × 103 |  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 10 1-9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10 1-9)[ 10](Math www.CommonCoreSheets.com 10 1-9)[ 1-9](Math www.CommonCoreSheets.com 10 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| 0.00857 0.000444 5.71 114,300\u003Cbr>0.0012 0.0000778 |  |  |  |  |  |  |  |\n| 1) 6 × 106 is   × the value of 5 × 109\u003Cbr>2) 7 × 105 is   × the value of 9 × 109\u003Cbr>3) 4 × 103 is   × the value of 9 × 106\u003Cbr>4) 8 × 108 is   × the value of 7 × 103\u003Cbr>5) 4 × 109 is   × the value of 7 × 108\u003Cbr>6) 6 × 102 is   × the value ","cbCaicIRNZABPR32","https://ap.wps.com/l/cbCaicIRNZABPR32","pdf",47158,"English","# Relative value with powers of ten\n## Solve each problem and express as a decimal","[{\"question\":\"What does the worksheet ask students to find using powers of ten?\",\"answer\":\"It asks students to determine how many times one powered expression is the value of another, written as a decimal if needed.\"},{\"question\":\"How are answers typically expressed in this worksheet?\",\"answer\":\"Answers are written as decimals when necessary, reflecting the relative factor between two numbers expressed with powers of ten.\"},{\"question\":\"How does the answer key show the method?\",\"answer\":\"It compares exponents of powers of ten and then computes the relative multiplicative factor, producing numeric decimal results for each item.\"}]","Finding Relative Value with Powers of Ten - solve each problem - answer as a decimal | PDF",1790772604]