Transcription of Math Worksheets - edHelper
1 Name: edHelper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ame: edHelper \ :RUNERRNName: edHelper \ :RUNERRNName.
2 edHelper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ame: edHelper \ :RUNERRNName: edHelper \ :RUNERRNName.))
3 edHelper WZHQW\ WKUHH PLQXV VL[ HTXDOV ,W LV ZKHQ 6 DUDK OHDYHV KHU KRXVH 6KH DUULYHV DW VFKRRO DW +RZ PXFK WLPH KDV SDVVHG" [ 0 DNH \RXU RZQ HTXDWLRQ PRUH WKDQ &LUFOH WKH QXPEHU WKDW LV ODUJHVW ,Q HOHYHQ KRXUV LW ZLOO EH PLGQLJKW :KDW WLPH LV LW QRZ"( ) ) * * + , , \ :RUNERRNName: edHelper +RZ PXFK LV WKLV" +RZ PDQ\ KRXUV DUH WKHUH IURP D P WR S P "GRXEOH :ULWH WKLV QXPEHU RQHV WKRXVDQGV WHQV KXQGUHGV GRXEOH 5 RXQG WR WKH QHDUHVW \ :RUNERRNName:edHelperMultiply [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ \ :RUNERRNName.]]]]]]]]]]]]]]]]]]]]]]]]]]] ]]]]]]]]]]]]]]]]]]]]]]]]]]]
4 edHelper 'UDZ D OLQH WR PDWFK HDFK SUREOHP ZLWK WKH VDPH DQVZHU :ULWH WKLV QXPEHU WKRXVDQGV KXQGUHGV WHQV:ULWH WKLV QXPEHU RQHV WHQVGRXEOH $ WHDFKHU DUUDQJHV GHVNV 6KH SXWV GHVNV LQ HDFK URZ 7 KHUH DUH URZV +RZ PDQ\ GHVNV DUH WKHUH"&LUFOH WKH RGG QXPEHUV \ :RUNERRNName: edHelper (1' (1' (1' (1' 67$57 'UDZ D OLQH IURP 67$57 WR (1' &URVV RXW WKH HTXDWLRQ \RX XVH DERYH DQG WKHQ ZULWH LW EHORZ \ : \ :RUNERRNName: edHelper +HOS 5 RERW ILQG 5 RYHU &RORU WKH ER[HV WKDW KDYH D GLIIHUHQFH RI RU WR PDNH D SDWK \ :RUNERRNName.)))))]
5 edHelper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ame.
6 edHelper [ [ [ [ [ [ [ [ [ [ [ [ :ULWHRSHUDWLRQ :ULWH VLJQ &LUFOH [ [ [ [ [ [ [ [ [ [ [ [ \ :RUNERRNName: edHelper \ :RUNERRNName.]]]]]]]]]]]]]]]]]]]]]]]]
7 edHelper 'UDZ SLFWXUHV LQ WKH FRUUHFW RUGHU 8VH HDFK RI WKH FOXHV VR \RX ZLOO NQRZ ZKDW WR GUDZ 'UDZ RI WKHVH SLFWXUHV 7KH SLFWXUH LV 127 LQ WKH FRUUHFW VSRW 'UDZ RI WKHVH SLFWXUHV 7KH SLFWXUH LV 127 LQ WKH FRUUHFW VSRW 'UDZ RI WKHVH SLFWXUHV 7KH SLFWXUH ,6 LQ WKH FRUUHFW VSRW 'UDZ RI WKHVH SLFWXUHV RI WKRVH SLFWXUHV LV LQ WKH FRUUHFW VSRW 'UDZ WKH SLFWXUHV LQ WKH FRUUHFW RUGHU \ :RUNERRNName: edHelper $GG )LOO LQ WKH EODQNV ZRUG URRWSHUFDQ PHDQWKURXJKSHUFRODWH \ :RUNERRNName: edHelper *HW D ILGJHW VSLQQHU 6 SLQ LW , QHHGHG WR VSLQWLPH V WR ILQLVK +RZ PXFK LV WKLV" +ROO\ WRRN KHU HPSW\ EDFNSDFN DQG ILOOHG LW ZLWK WHQQLV EDOOV (VWLPDWH KRZ PDQ\ WHQQLV EDOOV \RX WKLQN VKH ZDV DEOH WR ILW LQWR KHU EDFNSDFN 'UDZ VPDOO VTXDUHV 7 KHQ FRORU LQ VRPH WR VKRZ &LUFOH WKH QXPEHU WKDW LV ODUJHVW &LUFOH WKH QXPEHU WKDW LV ODUJHVW GRXEOH [ ,W LV ZKHQ (ULQ OHDYHV KHU KRXVH 6KH DUULYHV DW VFKRRO DW +RZ PXFK WLPH KDV SDVVHG" \ :RUNERRNName.)]
8 EdHelper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ame: edHelper 8VH WKH SLHFHV DERYH WR KHOS \RX ILOO LQ WKH UXQDZD\ PDWK SX]]OH [ ,Q QLQH KRXUV LW ZLOO EH PLGQLJKW :KDW WLPH LV LW QRZ":ULWH DQ HYHQ QXPEHU :KDW QXPEHU PXOWLSOLHG E\ ILYH LV WKLUW\ ILYH" 0 DNH \RXU RZQ HTXDWLRQ =+-=+=x=x= \ :RUNERRNName: edHelper 'UDZ WKH PLVVLQJ HPRMLV ([SODLQ WKH UXOH 'UDZ WKH PLVVLQJ HPRMLV ([SODLQ WKH UXOH \ :RUNERRNName:edHelper3X]]OH 7KH VXP IRU HDFK FROXPQDQG URZ LV JLYHQ.))
9 RUN $UHD 3X]]OH 7KH VXP IRU HDFK FROXPQDQG URZ LV JLYHQ :RUN $UHD ZRUG URRWSXJQFDQ PHDQILJKWSXJLOLVW \ :RUNERRNName: edHelper \ :RUNERRNName: edHelper &RPSOHWH HDFK SDWWHUQ XVLQJ WKH VDPH UXOH :ULWH ZKDW WKH UXOH LV &RPSOHWH HDFK SDWWHUQ 7 7 Y Y Q 7 7 Q 7 7 Y Y Q 7\ \ 3 3 \ 3 \ \ 3 3 \ \ 3 3 P P P P P &RPSOHWH HDFK SDWWHUQ XVLQJ WKH VDPH UXOH :ULWH ZKDW WKH UXOH LV 9 4 * %; \ :RUNERRNName:edHelper0 DNH FKDQJH <RX FDQ XVH c c c RU c 8VH WKH IHZHVW ELOOV DQG FRLQV WR PDNH c8VH WKH IHZHVW ELOOV DQG FRLQV WR PDNH 8VH WKH IHZHVW ELOOV DQG FRLQV WR PDNH 8VH WKH IHZHVW ELOOV DQG FRLQV WR PDNH [ [ \ :RUNERRNName:edHelper2QO\ XVH D SHQFLO WR ZULWH WKH QXPEHUV RQ WKH EODQN OLQHV <RX GR QRW QHHG DQ\ VFUDS SDSHU 6 ROYH LW LQ \RXU KHDG ,I \RX IRUJHW D QXPEHU WKHQ VWDUW RYHU &RRO KXK"LPDJLQH LQ \RXU KHDGVXEWUDFW DGG LPDJLQH LQ \RXU KHDGVXEWUDFW DGG DGG LPDJLQH LQ \RXU KHDGGRXEOH LWDGG VXEWUDFW LPDJLQH LQ \RXU KHDGDGG GRXEOH LWDGG :ULWH WKH QXPEHU $.
10 ULWH WKH WHQV GLJLW %$GG WKH WHQV GLJLW WR WKH RQHV GLJLW :ULWH WKH VXP &:ULWH WKH RQHV GLJLW ':KDW LV WKH VXP"$ % & ':RZ *UHDW MRE 7 KDW V WKH DQVZHU EXW GR \RX NQRZ KRZ WR 63(// WKH QXPEHU"H DIWHU EHIRUH DIWHU DIWHU EHIRUH DIWHU DIWHU EHIRUH DIWHU DIWHU EHIRUH DIWHU DIWHU EHIRUH DIWHU \ :RUNERRNName: edHelper )LQG WKH PLVVLQJ QXPEHUV 7 KHVH ERWK KDYH WKH VDPH UXOH :KDW LV WKH UXOH",I 7 KHQ ",I 7 KHQ ":KDW LV WKH UXOH IRU HDFK SDWWHUQ" \ :RUNERRNName: edHelper [ [ [ [ [ [ [ [ [ [ []]]]]]]]]]]
