Question 17 of 21advanced🔧 ApplyNumerical4 marks

Represent the following numbers using the Mayan system: (i) 77 (ii) 100 (iii) 361 (iv) 721

(i)
Answer

Bottom: 17 (three bars + two dots), Middle: 3 (three dots)

(ii)
Answer

Bottom: 0 (shell), Middle: 5 (one bar)

(iii)
Answer

Bottom: 1 (one dot), Middle: 0 (shell), Top: 1 (one dot)

(iv)
Answer

Bottom: 1 (one dot), Middle: 0 (shell), Top: 2 (two dots)

Explanation

(i) 77 = 3×203 \times 20 + 17. Write 17 at bottom (3 bars + 2 dots), 3 in middle (3 dots). (ii) 100 = 5×205 \times 20 + 0. Write shell at bottom, one bar in middle. (iii) 361 = 1×3601 \times 360 + 0×200 \times 20 + 1. Write one dot at bottom, shell in middle, one dot at top. (iv) 721 = 2×3602 \times 360 + 0×200 \times 20 + 1. Write one dot at bottom, shell in middle, two dots at top.

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