Multiplication Lives

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# Multiplication Lives - PowerPoint PPT Presentation

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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Presentation Transcript

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).

Let’s analyze what’s happening.

Simplest type problem:

= 6

2 x 3

= 20

4 x 5

10 lines

10 points

+

What about a problem like this?

13 x 4

= 52

The intersection of 13 lines 4 lines.

12

4

100

12 x 234

(2 x 2)

100

10

(1 x 2)

1000

(2 x 3)

10

10

7

8

2

1

(1 x 3)

100

(2 x 4)

1

2808

(1 x 4)

10

1

10

100

10

1

1

10

100

a b c x d e f

c

100

b

1000

10

a

10000

100

1

d

1000

10

e

100

f

a b c

d e f

x

a bc x def

cf

ae+bd

af+be+cd

bf+ce

100

10

1

10,000

1,000

a b c

d e f

x

+

a bc x def

cf

ae+bd

af+be+cd

bf+ce

100

10

1

10,000

1,000

fa

af

fb

bf

fc

cf

ea

ae

eb

be

ec

ce

da

db

bd

dc

cd

10?

10?

10?

10?

10?

10?

a.bc x de.f

c

b

a

d

e

f

101

100

10-1

10-2

10-1

100

a.bc x de.f

c

b

a

d

e

f