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Students solve a set of ten-based numeric expressions such as 700,000 ÷ 10^4 and 5 × 10^1, converting numbers by moving decimal places or adjusting place value. The provided solution key lists the correct outcomes for items 1 through 20, reinforcing patterns for dividing and multiplying with powers of ten in base-10 operations.",{"@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-478874/478874/",{"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-478874/478874.png","ImageObject",300,407,{"name":92,"@type":93},"Marglet","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","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 a number by a power of ten?","Question",{"text":112,"@type":113},"Multiply by 10^n by shifting the decimal point n places to the right, which is equivalent to moving to higher place values. The worksheet uses examples like 5 × 10^1 to show the result.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you divide a number by a power of ten?",{"text":117,"@type":113},"Divide by 10^n by shifting the decimal point n places to the left, equivalent to moving to lower place values. 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Answers  \n1) 700,000 ÷ 10 4 = 2) 5 × 10 1 =  \n1.  \n2.  \n3) 400 ÷ 10 1 = 4) 741 × 10 3 =  \n3.  \n4.  \n5) 7,000 ÷ 10 1 = 6) 348 × 10 1 =  \n5.  \n6.  \n7) 7,600 ÷ 10 1 = 8) 185 × 10 3 =  \n7.  \n8.  \n9) 2,000 ÷ 10 2 = 10) 8 × 10 3 =  \n9.  \n10.  \n11) 50,000 ÷ 10 2 = 12) 63 × 10 2 =  \n11.  \n12.  \n13) 24,000,000 ÷ 10 4 = 14) 19 × 10 2 =  \n13.  \n14.  \n15) 7,000,000 ÷ 10 4 = 16) 263 × 10 3 =  \n15.  \n16.  \n17) 26,000 ÷ 10 2 = 18) 4 × 10 3 =  \n17.  \n18.  \n19) 90,000 ÷ 10 4 = 20) 5 × 10 3 =  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \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  \nSolve each problem.  \n1) 700,000 ÷ 10 4 = 70 2) 5 × 10 1 = 50  \n3) 400 ÷ 10 1 = 40 4) 741 × 10 3 = 741,000  \n5) 7,000 ÷ 10 1 = 700 6) 348 × 10 1 = 3,480  \n7) 7,600 ÷ 10 1 = 760 8) 185 × 10 3 = 185,000  \n9) 2,000 ÷ 10 2 = 20 10) 8 × 10 3 = 8,000  \n11) 50,000 ÷ 10 2 = 500 12) 63 × 10 2 = 6,300  \n13) 24,000,000 ÷ 10 4 = 2,400 14) 19 × 10 2 = 1,900  \n15) 7,000,000 ÷ 10 4 = 700 16) 263 × 10 3 = 263,000  \n17) 26,000 ÷ 10 2 = 260 18) 4 × 10 3 = 4,000  \n19) 90,000 ÷ 10 4 = 9 20) 5 × 10 3 = 5,000  \nAnswers  \n1. 70 2. 50 3. 40 4. 741,000 5. 700 6. 3,480 7. 760 8. 185,000 9. 20 10. 8,000 11. 500 12. 6,300 13. 2,400 14. 1,900 15. 700 16. 263,000 17. 260 18. 4,000 19. 9  \n20. 5,000  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \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:  \n\n| Solve each problem.\u003Cbr>1) 700,000 ÷ 10 4 =   2) 5 × 10 1 =  \u003Cbr>3) 400 ÷ 10 1 =   4) 741 × 10 3 =  \u003Cbr>5) 7,000 ÷ 10 1 =   6) 348 × 10 1 =  \u003Cbr>7) 7,600 ÷ 10 1 =   8) 185 × 10 3 =  \u003Cbr>9) 2,000 ÷ 10 2 =   10) 8 × 10 3 =  \u003Cbr>11) 50,000 ÷ 10 2 =   12) 63 × 10 2 =   |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 |  | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |","cbCaiipWLlqBltPc","https://ap.wps.com/l/cbCaiipWLlqBltPc","pdf",45686,"English","# Solve each problem\n## Multiply powers of ten\n## Divide powers of ten\n## Answer key","[{\"question\":\"How do you multiply a number by a power of ten?\",\"answer\":\"Multiply by 10^n by shifting the decimal point n places to the right, which is equivalent to moving to higher place values. The worksheet uses examples like 5 × 10^1 to show the result.\"},{\"question\":\"How do you divide a number by a power of ten?\",\"answer\":\"Divide by 10^n by shifting the decimal point n places to the left, equivalent to moving to lower place values. The problems include cases such as 700,000 ÷ 10^4 to illustrate the pattern.\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"An answer key is included and lists the correct answers for problems 1 through 20, matching the student questions.\"}]","Multiplying and Dividing Powers of Ten - Solve each problem | PDF",1790792325]