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The material lists problems numbered 1 through 20, including large integers (such as 6,000, 2,000,000,000,000, and 700,000,000,000) and decimals (such as 0.00006, 0.1, 0.002, 0.00004, 0.00000000004). Each solution expresses the given value as a multiplication of a digit by 10 raised to an integer exponent, covering positive exponents as well as negative exponents for small 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do you rewrite a number using powers of 10?","Question",{"text":112,"@type":113},"Write the number in the form a × 10^n, where n is the place-value shift needed to move the decimal point (or for large numbers, shift the digits accordingly).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of numbers are included in the worksheet?",{"text":117,"@type":113},"The worksheet includes large whole numbers (in the thousands up to trillions) and small decimals like 0.00006 and 0.1.",{"name":119,"@type":110,"acceptedAnswer":120},"Why do some answers use negative exponents?",{"text":121,"@type":113},"Negative exponents appear for decimals because 10^-n represents moving the decimal point to the left by n 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6,000,000,000,000 6) 300,000,000  \n7) 3,000,000 8) 10,000  \n9) 700,000,000,000  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n10) 3,000  \n11) 0.00006  \n12) 0.1  \n13) 0.002  \n14) 0.00004  \n15) 0.00000000004  \n16) 0.0006  \n17) 0.004  \n18) 0.000000006  \n19) 0.03  \n20) 0.0007  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nExpressing Numbers using Powers of 10  \nName: Answer Key  \n\n| Rewrite each number as an expression with the power of 10.\u003Cbr>1) 6,000 |  | Answers\u003Cbr>1.  6 × 103  |\n| --- | --- | --- |\n| 2) | 2,000,000,000,000 | 2.  2 × 1012  |\n| 3) | 2,000,000 | 3.  2 × 106  |\n| 4) | 5,000,000 | 4.  5 × 106  |\n| 5) | 6,000,000,000,000 | 5.  6 × 1012  |\n| 6) | 300,000,000 | 6.  3 × 108  |\n| 7) | 3,000,000 | 7.  3 × 106  |\n| 8) | 10,000 | 8.  1 × 104  |\n| 9) | 700,000,000,000 | 9.  7 × 1011  |\n| 10) | 3,000 | 10.  3 × 103  |\n| 11) | 0.00006 | 11. 6 × 10-5 |\n| 12) | 0.1 | 12. 1 × 10-1 |\n| 13) | 0.002 | 13. 2 × 10-3 |\n| 14) | 0.00004 | 14. 4 × 10-5 |\n| 15) | 0.00000000004 | 15. 4 × 10-11 |\n| 16) | 0.0006 | 16. 6 × 10-4 |\n| 17) | 0.004 | 17. 4 × 10-3 |\n| 18) | 0.000000006 |  |\n| 19) | 0.03 | 18.  6 × 10-9  |\n| 20) | 0.0007 | 19.  3 × 10-2 \u003Cbr>-4\u003Cbr>20. 7 × 10 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nExpressing Numbers using Powers of 10  \nName:  \n\n| Rewrite each number as an expression with the power of 10.\u003Cbr>1) 6,000\u003Cbr>2) 2,000,000,000,000\u003Cbr>3) 2,000,000\u003Cbr>4) 5,000,000\u003Cbr>5) 6,000,000,000,000\u003Cbr>6) 300,000,000\u003Cbr>7) 3,000,000\u003Cbr>8) 10,000\u003Cbr>9) 700,000,000,000\u003Cbr>10) 3,000\u003Cbr>11) 0.00006\u003Cbr>12) 0.1 |  |  |  |  |  |  |  | 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) | 8 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |","cbCaifgEozYGnbFo","https://ap.wps.com/l/cbCaifgEozYGnbFo","pdf",42892,"English","# Problems\n## 1-10\n## 11-20\n# Answers","[{\"question\":\"How do you rewrite a number using powers of 10?\",\"answer\":\"Write the number in the form a × 10^n, where n is the place-value shift needed to move the decimal point (or for large numbers, shift the digits accordingly).\"},{\"question\":\"What kinds of numbers are included in the worksheet?\",\"answer\":\"The worksheet includes large whole numbers (in the thousands up to trillions) and small decimals like 0.00006 and 0.1.\"},{\"question\":\"Why do some answers use negative exponents?\",\"answer\":\"Negative exponents appear for decimals because 10^-n represents moving the decimal point to the left by n places.\"}]","Expressing Numbers using Powers of 10 - Rewrite each number with powers of 10 - Answer Key | PDF",1790772489]