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Explains that a base-10 power can be handled by moving the decimal a corresponding number of places to the right for positive exponents and to the left for division or negative exponents. Includes worked example 5.47 × 10^4 = 54,700 and a set of 20 problems involving expressions like 29.166 ÷ 10^2 and 22.11 × 10^3, followed by an answer key.",{"@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/multiplying-and-dividing-powers-of-ten-solve-each-problem/463252/",{"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/multiplying-and-dividing-powers-of-ten-solve-each-problem/463252.png","ImageObject",300,407,{"name":92,"@type":93},"Logic","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you multiply by a power of ten like 10^4?","Question",{"text":112,"@type":113},"Since the base is 10, move the decimal 4 places to the right to multiply by 10^4.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you divide by a power of ten such as 10^2?",{"text":117,"@type":113},"Move the decimal 2 places to the left. Division by 10^2 works the opposite way of multiplying by 10^2.",{"name":119,"@type":110,"acceptedAnswer":120},"What does a negative exponent mean in these problems?",{"text":121,"@type":113},"A negative exponent means the same as division by the corresponding positive power. For example, 10^-2 leads to division by 10^2.","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},463252,1790766303,{"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":24,"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":129,"read_time":39,"preview_page_count":4},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","Multiplying and Dividing Powers of Ten  \nName:  \nSolve each problem.  \n5.47 × 104  \nThis is the same as saying:  \n5.47 × (10 × 10 × 10 × 10) And because the base is 10 you can just move the decimal 4 places to the right to solve.  \n5.47 × 104 = 54,700  \n5 4 7 0 0 .  \n1) 29.166 ÷ 10 2  \n3) 8.598 ÷ 10 4  \n5) 67.4 ÷ 10 4  \n7) 6.1 ÷ 10 4  \n9) 193.4 ÷ 10 1  \n11) 56.99 ÷ 10 3  \n13) 7.7 ÷ 10 2  \n15) 98.668 ÷ 10 4  \n17) 866.7 ÷ 10 4  \n19) 9.892 ÷ 10 1  \n2.36 ÷ 102  \nDivision is the same way. Only instead of moving the decimal right, you move it left.  \nYou can also multiply a negative exponent, which means the same thing.  \n2.36 × 10-2 = 2.36 ÷ 102  \n. 0 2 3 6  \n2) 18.43 × 10 4  \n4) 5.498 × 10 2  \n6) 163.761 × 10 2  \n8) 91.193 × 10 3  \n10) 747.353 × 10 3  \n12) 83.597 × 10 4  \n14) 23.35 × 10 4  \n16) 9.81 × 10 1  \n18) 235.72 × 10 1  \n20) 22.11 × 10 3  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nMultiplying and Dividing Powers of Ten  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>\u003Cbr>5.47 × 104\u003Cbr>This is the same as saying:\u003Cbr>5.47 × (10 × 10 × 10 × 10) And because the base is 10 you can just move the decimal 4 places to the right to solve.\u003Cbr>5.47 × 104 = 54,700\u003Cbr>5 4 7 0 0 .\u003Cbr>\u003Cbr>2.36 ÷ 102\u003Cbr>Division is the same way. Only instead of moving the decimal right, you move it left.\u003Cbr>You can also multiply a negative exponent, which means the same thing.\u003Cbr>2.36 × 10-2 = 2.36 ÷ 102\u003Cbr>. 0 2 3 6\u003Cbr>1) 29.166 ÷ 10 2 2) 18.43 × 10 4\u003Cbr>3) 8.598 ÷ 10 4 4) 5.498 × 10 2\u003Cbr>5) 67.4 ÷ 10 4 6) 163.761 × 10 2\u003Cbr>7) 6.1 ÷ 10 4 8) 91.193 × 10 3\u003Cbr>9) 193.4 ÷ 10 1 10) 747.353 × 10 3\u003Cbr>11) 56.99 ÷ 10 3 12) 83.597 × 10 4\u003Cbr>13) 7.7 ÷ 10 2 14) 23.35 × 10 4\u003Cbr>15) 98.668 ÷ 10 4 16) 9.81 × 10 1\u003Cbr>17) 866.7 ÷ 10 4 18) 235.72 × 10 1\u003Cbr>19) 9.892 ÷ 10 1 20) 22.11 × 10 3 | Answers 1.  0.29166  2.  184,300  3.  0.0008598  4.  549.8  5.  0.00674  6.  16,376.1  7.  0.00061  8.  91,193  9.  19.34  10.  747,353  11.  0.05699  12.  835,970  13.  0.077  14.  233,500  15.  0.0098668  16.  98.1  17.  0.08667  18.  2,357.2  19.  0.9892 \u003Cbr>20. 22,110 |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nMultiplying and Dividing Powers of Ten  \nName:  \nSolve each problem.  \n5.47 × 104  \nThis is the same as saying:  \n5.47 × (10 × 10 × 10 × 10) And because the base is 10 you can just move the decimal 4 places to the right to solve.  \n5.47 × 104 = 54,700  \n5 4 7 0 0 .  \n19.34  \n0.29166  \n747,353  \n1) 29.166 ÷ 10 2  \n3) 8.598 ÷ 10 4  \n5) 67.4 ÷ 10 4  \n7) 6.1 ÷ 10 4  \n9) 193.4 ÷ 10 1  \n11) 56.99 ÷ 10 3  \n0.00061  \n835,970 549.8  \n2.36 ÷ 102  \nDivision is the same way. Only instead of moving the decimal right, you move it left.  \nYou can also multiply a negative exponent, which means the same thing.  \n2.36 × 10-2 = 2.36 ÷ 102  \n. 0 2 3 6  \n0.00674  \n0.0008598  \n16,376.1  \n2) 18.43 × 10 4  \n4) 5.498 × 10 2  \n6) 163.761 × 10 2  \n8) 91.193 × 10 3  \n10) 747.353 × 10 3  \n12) 83.597 × 10 4  \n91,193 184,300 0.05699  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCaieXQukMDq3Gj","https://ap.wps.com/l/cbCaieXQukMDq3Gj","pdf",51478,"English","# Multiplying and Dividing Powers of Ten\n## Place-value decimal shifting\n## Worked example and explanations\n## Practice problems (1–20)\n## Answers","[{\"question\":\"How do you multiply by a power of ten like 10^4?\",\"answer\":\"Since the base is 10, move the decimal 4 places to the right to multiply by 10^4.\"},{\"question\":\"How do you divide by a power of ten such as 10^2?\",\"answer\":\"Move the decimal 2 places to the left. Division by 10^2 works the opposite way of multiplying by 10^2.\"},{\"question\":\"What does a negative exponent mean in these problems?\",\"answer\":\"A negative exponent means the same as division by the corresponding positive power. For example, 10^-2 leads to division by 10^2.\"}]","Multiplying and Dividing Powers of Ten - Solve Each Problem | PDF"]