A Mechanical Calculator

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Presentation transcript:

A Mechanical Calculator Napier’s Bones A Mechanical Calculator

by James Nickel Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Board 1 2 3 4 5 6 7 8 9 Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Set of Rods 1 2 3 4 5 6 7 8 9 2 4 1 6 8 3 6 1 2 9 5 8 4 7 4 8 1 2 3 6 5 1 2 3 4 6 1 2 3 4 5 8 7 1 4 2 3 5 6 8 9 8 1 6 3 4 5 7 2 9 1 8 3 4 5 6 7 2 Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 15  5 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 5 1 2 3 4 Read 15  5 = 75 5 ones 5 + 2 = 7 tens Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 28  7 1 2 3 4 5 6 7 8 9 2 4 1 6 8 8 1 6 3 4 5 7 2 Read 28  7 = 196 6 ones 5 + 4 = 9 tens 1 hundred Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 515  4 1 2 3 4 5 6 7 8 9 5 1 2 3 4 1 2 3 4 5 6 7 8 9 5 1 2 3 4 Read 515  4 = 2060 0 ones 2 + 4 = 6 tens 0 + 0 = 0 hundreds 2 thousands Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 49868  5 1 2 3 4 5 6 7 8 9 4 8 1 2 3 6 9 1 8 3 4 5 6 7 2 8 1 6 3 4 5 7 2 6 1 2 3 4 5 8 8 1 6 3 4 5 7 2 Read 49868  5 = 249,340 0 ones 0 + 4 = 4 tens 0 + 3 = 3 hundreds 5 + 4 = 9 thousands 0 + 4 = 4 ten thousands 2 hundred thousands Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 976  8 1 2 3 4 5 6 7 8 9 9 1 8 3 4 5 6 7 2 7 1 4 2 3 5 6 8 9 6 1 2 3 4 5 8 Read 976  8 = 7,808 8 ones 6 + 4 = 10 tens (write 0 and carry 1) 2 + 5 + 1 (carried) = 8 hundreds 7 thousands Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 52,908  7 1 2 3 4 5 6 7 8 9 5 1 2 3 4 2 4 1 6 8 9 1 8 3 4 5 6 7 2 8 1 6 3 4 5 7 2 Read 52,908  7 = 370,356 6 ones 0 + 5 = 5 tens 3 + 0 = 3 hundreds 4 + 6 = 10 thousands (write 0 and carry 1) 5 + 1 + 1 (carried) = 7 ten thousands 3 hundred thousands Copyright  2006 www.biblicalchristianworldview.net

Copyright  2006 www.biblicalchristianworldview.net Multiplying 548,698  6 1 2 3 4 5 6 7 8 9 5 1 2 3 4 4 8 1 2 3 6 8 1 6 3 4 5 7 2 6 1 2 3 4 5 8 9 1 8 3 4 5 6 7 2 8 1 6 3 4 5 7 2 Read 548,698  6 = 3,292,188 8 ones 4 + 4 = 8 tens 6 + 5 = 11 hundreds (write 1 and carry 1) 8 + 3 + 1 (carried) = 12 thousands (write 2 and carry 1) 4 + 4 + 1 = 9 ten thousands 2 + 0 = 2 hundred thousands 3 millions Copyright  2006 www.biblicalchristianworldview.net