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Multiplication Lives

Multiplication Lives. Cuneiform tablet found in West Asia about 2700 BC The table helps people figure out the area of a region by multiplying width by length. The first column is the width, the second is the length, and the third column is the area.

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Multiplication Lives

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  1. Multiplication Lives

  2. Cuneiform tablet found in West Asia about 2700 BC • The table helps people figure out the area of a region by multiplying width by length. • The first column is the width, the second is the length, and the third column is the area. • It uses a system for writing down large numbers in base 60 (the way our clocks work today).

  3. Let’s analyze what’s happening. Simplest type problem: = 6 2 x 3

  4. = 20 4 x 5

  5. 10 lines 10 points + What about a problem like this? 13 x 4 = 52 The intersection of 13 lines 4 lines. 12 4

  6. Sample Problem: 12 x 234

  7. 102 12 x 234 (2 x 2) 102 101 (1 x 2) 103 (2 x 3) 101 10 7 8 2 100 (1 x 3) 102 (2 x 4) 100 2808 (1 x 4) 101 100 101

  8. 102 101 100 100 101 102 a b c x d e f c 102 b 103 101 a 104 102 100 d 103 101 e 102 f

  9. a2f0+b1e1+c0d2 a2d2 a2e1+b1d2 b1f0+c0e1 c0f0 101 104 103 102 100 a b c d e f x + a2 b1 c0x d2 e1 f0 a2f0+b1e1+c0d2 a2d2 a2e1+b1d2 b1f0+c0e1 c0f0 101 104 103 102 100 fa af fb bf fc cf ea ae eb be ec ce da ad db bd dc cd

  10. 10? 10? 10? 10? 10? 10? a.bc x de.f c b a d e f

  11. 101 100 10-1 10-2 10-1 100 a.bc x de.f c b a d e f

  12. Decimal Multiplication

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