Question 15 of 21advanced🔧 ApplyNumerical5 marks

Represent the following numbers in the Mesopotamian system — (i) 63 (ii) 132 (iii) 200 (iv) 60 (v) 3605

(i)
Answer

One ⌈ symbol for 60, then three ⌈ symbols for 3

(ii)
Answer

Two ⌈ symbols for 120 (2×602 \times 60), then one ⌉ and two ⌈ for 12

(iii)
Answer

Three ⌈ symbols for 180 (3×603 \times 60), then two ⌉ for 20

(iv)
Answer

One ⌈ symbol for 60, with a blank space or placeholder for the 1s position

(v)
Answer

One ⌈ symbol for 3600, placeholder for 60s, then five ⌈ symbols for 5

Explanation

(i) 63 = 1×601 \times 60 + 3×13 \times 1 (ii) 132 = 2×602 \times 60 + 12×112 \times 1 (iii) 200 = 3×603 \times 60 + 20×120 \times 1 (iv) 60 = 1×601 \times 60 + 0×10 \times 1 (v) 3605 = 1×36001 \times 3600 + 0×600 \times 60 + 5×15 \times 1

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