babylonian maths
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Babylonian Maths. Numbers in base 60. What do you think these five numbers are?. What do you think these five numbers are?. 20. What do you think these five numbers are?. 20. 40. What do you think these five numbers are?. 20. 53. 40. What do you think these five numbers are?. 20. 53. - PowerPoint PPT PresentationTRANSCRIPT
Babylonian MathsBabylonian Maths
Numbers in base 60
• What do you think these five numbers are?
• What do you think these five numbers are?
20
• What do you think these five numbers are?
2040
• What do you think these five numbers are?
20 5340
• What do you think these five numbers are?
20
28
5340
• What do you think these five numbers are?
20
4928
5340
In base 60 …In base 60 …• Any number between 1 and
60 corresponds to the units in our numbers.
• Getting to 60 in base 60 is like getting to 10 in base 10.
• We don’t need a new symbol when we get to 10, and the Babylonians didn’t need a new symbol for 60.
• What do you think these three numbers are?
60 + 10 60 + 20 120 + 10= 70 = 80 = 130
• What do you think these two numbers are?
2 x 60 + 13 3 x 60 + 28= 133 = 208
Writing numbers in Writing numbers in base 60base 60• You don’t have to write base 60
numbers in cuneiform symbols.• Look at these base 60 numbers – can
you work out what they mean?
• Can you change these base 10 numbers into base 60?
Base 60
0 18
1 39 3 06 11 20
Base 10
18 60 + 39 = 99
180 + 6 = 186
660 + 20 = 680
Base 10
29 69 149 299
Base 60
29 1 09 2 29 4 59
ZeroZero• The Babylonians didn’t have a
separate symbol for 0.• This number would have meant
3600 + 1 = 3601
• The zero lots of 60 would have just been a gap.
• Is this a good way of showing a zero, do you think?