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history of mathematics - National STEM Centre

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14 Answers<br />

Activity 2.1, page 13<br />

1 a The table on the front tablet runs from<br />

1,2,..., 14 on the left and 9, 18, ..., 126 on the right.<br />

The reverse side runs from 15 to 23 on the left and 135,<br />

in nines to 207 on the right.<br />

b It is the nine times table.<br />

2 The numbers from 1 to 23 are made by using the<br />

symbols Y ar|d "^ standing for 1 to 10. The number 63<br />

appears to be made by using the symbol Y followed by a<br />

space, and then f f Y- The number system therefore is<br />

based on base 60, with a space between the numbers in<br />

the 60s place and the units place.<br />

3 698<br />

4 The Old Sumerians used a system based on 10 and 60<br />

using symbols, instead <strong>of</strong> place value, to represent larger<br />

numbers. The Babylonians adapted this to a system using<br />

only two symbols, and relative position to indicate what<br />

the symbols meant. However, there was still ambiguity in<br />

the Babylonians' system.<br />

Activity 2.2, page 14<br />

1 It is the 25 times table. The numbers to the left are 1<br />

to 15, and those to the right are 25, 50, ..., 375.<br />

2 The right-hand number on the first line is "^ py^,<br />

while the right-hand side <strong>of</strong> the penultimate line is<br />

f^

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