{"id":1224,"date":"2018-07-20T17:30:01","date_gmt":"2018-07-20T21:30:01","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/?post_type=chapter&p=1224"},"modified":"2019-08-18T01:55:52","modified_gmt":"2019-08-18T05:55:52","slug":"1-11-questions-and-exercises","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/chapter\/1-11-questions-and-exercises\/","title":{"raw":"1.11 Questions and Exercises","rendered":"1.11 Questions and Exercises"},"content":{"raw":"
\r\n
\r\n

Problems & Exercises<\/h3>\r\n
    \r\n \t
  1. \r\n
    \r\n

    Express these numbers in scientific notation.<\/p>\r\n\r\n<\/div><\/li>\r\n<\/ol>\r\n(a) \u00a056.9 (b) \u00a0563,100 (c) \u00a00.0804 (d) \u00a00.00000667\r\n

    \r\n

    2. \u00a0Express these numbers in scientific notation.<\/p>\r\n(a) \u00a0\u2212890,000 (b) \u00a0602,000,000,000 (c) \u00a00.0000004099 (d) \u00a00.000000000000011\r\n\r\n<\/div>\r\n

    \r\n

    3. \u00a0Express these numbers in scientific notation.<\/p>\r\n(a) \u00a00.00656 (b) \u00a065,600 (c) \u00a04,567,000 (d) \u00a00.000005507\r\n\r\n<\/div>\r\n

    \r\n

    4. \u00a0Express these numbers in scientific notation.<\/p>\r\n(a) \u00a065 (b) \u00a0\u2212321.09 (c) \u00a00.000077099 (d) \u00a00.000000000218\r\n\r\n<\/div>\r\n

    \r\n

    5. \u00a0Express these numbers in standard notation.<\/p>\r\n(a) \u00a01.381 \u00d7 105 <\/sup>(b) \u00a05.22 \u00d7 10\u22127 <\/sup>(c) \u00a09.998 \u00d7 104<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    6. \u00a0Express these numbers in standard notation.<\/p>\r\n(a) \u00a07.11 \u00d7 10\u22122 <\/sup>(b) \u00a09.18 \u00d7 102 <\/sup>(c) \u00a03.09 \u00d7 10\u221210<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    7. \u00a0Express these numbers in standard notation.<\/p>\r\n(a) \u00a08.09 \u00d7 100 <\/sup>(b) \u00a03.088 \u00d7 10\u22125 <\/sup>(c) \u00a0\u22124.239 \u00d7 102<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    8. \u00a0Express these numbers in standard notation.<\/p>\r\n(a) \u00a02.87 \u00d7 10\u22128 <\/sup>(b) \u00a01.78 \u00d7 1011 <\/sup>(c) \u00a01.381 \u00d7 10\u221223<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    9. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\r\n(a) \u00a072.44 \u00d7 103 <\/sup>(b) \u00a09,943 \u00d7 10\u22125 <\/sup>(c) \u00a0588,399 \u00d7 102<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    10. \u00a0These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\r\n(a) \u00a00.000077 \u00d7 10\u22127 <\/sup>(b) \u00a00.000111 \u00d7 108 <\/sup>(c) \u00a0602,000 \u00d7 1018<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    11. \u00a0These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\r\n(a) \u00a0345.1 \u00d7 102 <\/sup>(b) \u00a00.234 \u00d7 10\u22123 <\/sup>(c) \u00a01,800 \u00d7 10\u22122<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    12. \u00a0These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\r\n(a) \u00a08,099 \u00d7 10\u22128 <\/sup>(b) \u00a034.5 \u00d7 100 <\/sup>(c) \u00a00.000332 \u00d7 104<\/sup>\r\n\r\n<\/div>\r\n

    \r\n

    13. \u00a0Write these numbers in scientific notation by counting the number of places the decimal point is moved.<\/p>\r\n(a) \u00a0123,456.78 (b) \u00a098,490 (c) \u00a00.000000445\r\n\r\n<\/div>\r\n

    \r\n

    14. \u00a0Write these numbers in scientific notation by counting the number of places the decimal point is moved.<\/p>\r\n(a) \u00a00.000552 (b) \u00a01,987 (c) \u00a00.00000000887\r\n\r\n<\/div>\r\n

    \r\n

    15. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\r\n(a) \u00a0456 \u00d7 (7.4 \u00d7 108<\/sup>) = ? (b) \u00a0(3.02 \u00d7 105<\/sup>) \u00f7 (9.04 \u00d7 1015<\/sup>) = ? (c) \u00a00.0044 \u00d7 0.000833 = ?\r\n\r\n<\/div>\r\n

    \r\n

    16. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\r\n(a) \u00a098,000 \u00d7 23,000 = ? (b) \u00a098,000 \u00f7 23,000 = ? (c) \u00a0(4.6 \u00d7 10\u22125<\/sup>) \u00d7 (2.09 \u00d7 103<\/sup>) = ?\r\n\r\n<\/div>\r\n

    \r\n

    17. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\r\n(a) \u00a045 \u00d7 132 \u00f7 882 = ? (b) [(6.37 \u00d7 104<\/sup>) \u00d7 (8.44 \u00d7 10\u22124<\/sup>)] \u00f7 (3.2209 \u00d7 1015<\/sup>) = ?\r\n\r\n<\/div>\r\n

    \r\n

    18. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\r\n(a) \u00a0(9.09 \u00d7 108<\/sup>) \u00f7 [(6.33 \u00d7 109<\/sup>) \u00d7 (4.066 \u00d7 10\u22127<\/sup>)] = ? (b) \u00a09,345 \u00d7 34.866 \u00f7 0.00665 = ?\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n
    \r\n

    Solutions<\/h3>\r\nProblems & Exercises\r\n<\/strong>\r\n\r\n1.<\/strong> a)\u00a0 5.69 \u00d7 101\u00a0<\/sup>b) \u00a05.631 \u00d7 105 \u00a0<\/sup>c) \u00a08.04 \u00d7 10\u22122 \u00a0\u00a0<\/sup>d) \u00a06.67 \u00d7 10\u22126<\/sup>\r\n\r\n3.<\/strong> a) \u00a06.56 \u00d7 10\u22123 \u00a0\u00a0<\/sup>b) \u00a06.56 \u00d7 104 \u00a0\u00a0<\/sup>c) \u00a04.567 \u00d7 106 \u00a0\u00a0<\/sup>d) \u00a05.507 \u00d7 10\u22126<\/sup>\r\n\r\n5.<\/strong> \u00a0 a) 138,100 \u00a0 b) \u00a00.000000522 \u00a0 c) \u00a099,980\r\n\r\n7.<\/strong> \u00a0a) \u00a08.09 \u00a0 \u00a0b) 0.00003088 \u00a0 \u00a0c) \u00a0\u2212423.9\r\n\r\n9.<\/strong> \u00a0 \u00a0a) \u00a07.244 \u00d7 104 \u00a0 \u00a0<\/sup>b) \u00a0 9.943 \u00d7 10\u22122 \u00a0 \u00a0<\/sup>c) \u00a05.88399 \u00d7 107<\/sup>\r\n\r\n11.<\/strong> \u00a0 a)\u00a0\u00a03.451 \u00d7 104 \u00a0 \u00a0<\/sup>b) \u00a02.34 \u00d7 10\u22124 \u00a0 \u00a0<\/sup>c) \u00a01.8 \u00d7 101<\/sup>\r\n\r\n13.<\/strong> \u00a0 a) \u00a01.2345678 \u00d7 10<\/span>5 \u00a0 \u00a0<\/sup>b) \u00a09.849 \u00d7 10<\/span>4 \u00a0\u00a0<\/sup>c)\u00a0\u00a04.45 \u00d7 10<\/span>\u22127<\/sup>\r\n\r\n15.<\/strong> \u00a0 a)\u00a03.3744 \u00d7 10<\/span>11 \u00a0\u00a0<\/sup>b)\u00a03.3407 \u00d7 10<\/span>\u221211 \u00a0\u00a0<\/sup>c)\u00a03.665 \u00d7 10<\/span>\u22126<\/sup>\r\n\r\n17.<\/strong> \u00a0a) \u00a06.7346 \u00d7 10<\/span>0 \u00a0\u00a0<\/sup>b) 1.6691 \u00d7 10<\/span>\u221214<\/sup>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"
    \n
    \n

    Problems & Exercises<\/h3>\n
      \n
    1. \n
      \n

      Express these numbers in scientific notation.<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

      (a) \u00a056.9 (b) \u00a0563,100 (c) \u00a00.0804 (d) \u00a00.00000667<\/p>\n

      \n

      2. \u00a0Express these numbers in scientific notation.<\/p>\n

      (a) \u00a0\u2212890,000 (b) \u00a0602,000,000,000 (c) \u00a00.0000004099 (d) \u00a00.000000000000011<\/p>\n<\/div>\n

      \n

      3. \u00a0Express these numbers in scientific notation.<\/p>\n

      (a) \u00a00.00656 (b) \u00a065,600 (c) \u00a04,567,000 (d) \u00a00.000005507<\/p>\n<\/div>\n

      \n

      4. \u00a0Express these numbers in scientific notation.<\/p>\n

      (a) \u00a065 (b) \u00a0\u2212321.09 (c) \u00a00.000077099 (d) \u00a00.000000000218<\/p>\n<\/div>\n

      \n

      5. \u00a0Express these numbers in standard notation.<\/p>\n

      (a) \u00a01.381 \u00d7 105 <\/sup>(b) \u00a05.22 \u00d7 10\u22127 <\/sup>(c) \u00a09.998 \u00d7 104<\/sup><\/p>\n<\/div>\n

      \n

      6. \u00a0Express these numbers in standard notation.<\/p>\n

      (a) \u00a07.11 \u00d7 10\u22122 <\/sup>(b) \u00a09.18 \u00d7 102 <\/sup>(c) \u00a03.09 \u00d7 10\u221210<\/sup><\/p>\n<\/div>\n

      \n

      7. \u00a0Express these numbers in standard notation.<\/p>\n

      (a) \u00a08.09 \u00d7 100 <\/sup>(b) \u00a03.088 \u00d7 10\u22125 <\/sup>(c) \u00a0\u22124.239 \u00d7 102<\/sup><\/p>\n<\/div>\n

      \n

      8. \u00a0Express these numbers in standard notation.<\/p>\n

      (a) \u00a02.87 \u00d7 10\u22128 <\/sup>(b) \u00a01.78 \u00d7 1011 <\/sup>(c) \u00a01.381 \u00d7 10\u221223<\/sup><\/p>\n<\/div>\n

      \n

      9. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\n

      (a) \u00a072.44 \u00d7 103 <\/sup>(b) \u00a09,943 \u00d7 10\u22125 <\/sup>(c) \u00a0588,399 \u00d7 102<\/sup><\/p>\n<\/div>\n

      \n

      10. \u00a0These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\n

      (a) \u00a00.000077 \u00d7 10\u22127 <\/sup>(b) \u00a00.000111 \u00d7 108 <\/sup>(c) \u00a0602,000 \u00d7 1018<\/sup><\/p>\n<\/div>\n

      \n

      11. \u00a0These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\n

      (a) \u00a0345.1 \u00d7 102 <\/sup>(b) \u00a00.234 \u00d7 10\u22123 <\/sup>(c) \u00a01,800 \u00d7 10\u22122<\/sup><\/p>\n<\/div>\n

      \n

      12. \u00a0These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.<\/p>\n

      (a) \u00a08,099 \u00d7 10\u22128 <\/sup>(b) \u00a034.5 \u00d7 100 <\/sup>(c) \u00a00.000332 \u00d7 104<\/sup><\/p>\n<\/div>\n

      \n

      13. \u00a0Write these numbers in scientific notation by counting the number of places the decimal point is moved.<\/p>\n

      (a) \u00a0123,456.78 (b) \u00a098,490 (c) \u00a00.000000445<\/p>\n<\/div>\n

      \n

      14. \u00a0Write these numbers in scientific notation by counting the number of places the decimal point is moved.<\/p>\n

      (a) \u00a00.000552 (b) \u00a01,987 (c) \u00a00.00000000887<\/p>\n<\/div>\n

      \n

      15. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\n

      (a) \u00a0456 \u00d7 (7.4 \u00d7 108<\/sup>) = ? (b) \u00a0(3.02 \u00d7 105<\/sup>) \u00f7 (9.04 \u00d7 1015<\/sup>) = ? (c) \u00a00.0044 \u00d7 0.000833 = ?<\/p>\n<\/div>\n

      \n

      16. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\n

      (a) \u00a098,000 \u00d7 23,000 = ? (b) \u00a098,000 \u00f7 23,000 = ? (c) \u00a0(4.6 \u00d7 10\u22125<\/sup>) \u00d7 (2.09 \u00d7 103<\/sup>) = ?<\/p>\n<\/div>\n

      \n

      17. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\n

      (a) \u00a045 \u00d7 132 \u00f7 882 = ? (b) [(6.37 \u00d7 104<\/sup>) \u00d7 (8.44 \u00d7 10\u22124<\/sup>)] \u00f7 (3.2209 \u00d7 1015<\/sup>) = ?<\/p>\n<\/div>\n

      \n

      18. \u00a0Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.<\/p>\n

      (a) \u00a0(9.09 \u00d7 108<\/sup>) \u00f7 [(6.33 \u00d7 109<\/sup>) \u00d7 (4.066 \u00d7 10\u22127<\/sup>)] = ? (b) \u00a09,345 \u00d7 34.866 \u00f7 0.00665 = ?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n
      \n

      Solutions<\/h3>\n

      Problems & Exercises
      \n<\/strong><\/p>\n

      1.<\/strong> a)\u00a0 5.69 \u00d7 101\u00a0<\/sup>b) \u00a05.631 \u00d7 105 \u00a0<\/sup>c) \u00a08.04 \u00d7 10\u22122 \u00a0\u00a0<\/sup>d) \u00a06.67 \u00d7 10\u22126<\/sup><\/p>\n

      3.<\/strong> a) \u00a06.56 \u00d7 10\u22123 \u00a0\u00a0<\/sup>b) \u00a06.56 \u00d7 104 \u00a0\u00a0<\/sup>c) \u00a04.567 \u00d7 106 \u00a0\u00a0<\/sup>d) \u00a05.507 \u00d7 10\u22126<\/sup><\/p>\n

      5.<\/strong> \u00a0 a) 138,100 \u00a0 b) \u00a00.000000522 \u00a0 c) \u00a099,980<\/p>\n

      7.<\/strong> \u00a0a) \u00a08.09 \u00a0 \u00a0b) 0.00003088 \u00a0 \u00a0c) \u00a0\u2212423.9<\/p>\n

      9.<\/strong> \u00a0 \u00a0a) \u00a07.244 \u00d7 104 \u00a0 \u00a0<\/sup>b) \u00a0 9.943 \u00d7 10\u22122 \u00a0 \u00a0<\/sup>c) \u00a05.88399 \u00d7 107<\/sup><\/p>\n

      11.<\/strong> \u00a0 a)\u00a0\u00a03.451 \u00d7 104 \u00a0 \u00a0<\/sup>b) \u00a02.34 \u00d7 10\u22124 \u00a0 \u00a0<\/sup>c) \u00a01.8 \u00d7 101<\/sup><\/p>\n

      13.<\/strong> \u00a0 a) \u00a01.2345678 \u00d7 10<\/span>5 \u00a0 \u00a0<\/sup>b) \u00a09.849 \u00d7 10<\/span>4 \u00a0\u00a0<\/sup>c)\u00a0\u00a04.45 \u00d7 10<\/span>\u22127<\/sup><\/p>\n

      15.<\/strong> \u00a0 a)\u00a03.3744 \u00d7 10<\/span>11 \u00a0\u00a0<\/sup>b)\u00a03.3407 \u00d7 10<\/span>\u221211 \u00a0\u00a0<\/sup>c)\u00a03.665 \u00d7 10<\/span>\u22126<\/sup><\/p>\n

      17.<\/strong> \u00a0a) \u00a06.7346 \u00d7 10<\/span>0 \u00a0\u00a0<\/sup>b) 1.6691 \u00d7 10<\/span>\u221214<\/sup><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":9,"menu_order":12,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1224","chapter","type-chapter","status-publish","hentry"],"part":25,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/chapters\/1224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/users\/9"}],"version-history":[{"count":6,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/chapters\/1224\/revisions"}],"predecessor-version":[{"id":1309,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/chapters\/1224\/revisions\/1309"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/parts\/25"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/chapters\/1224\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/media?parent=1224"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/pressbooks\/v2\/chapter-type?post=1224"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/contributor?post=1224"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/astronomy1105\/wp-json\/wp\/v2\/license?post=1224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}