Mayan Numbers Worksheet 1: Practice identifying and converting numbers using Mayan numeral symbols.
Mayan Numbers Worksheet 1 with exercises for identifying and converting numbers using Mayan numeral symbols.
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Step-by-step solution for: mayan numbers online exercise for
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Step-by-step solution for: mayan numbers online exercise for
Absolutely! Let’s solve this Mayan Numbers Worksheet step by step.
---
## 🌿 Understanding the Mayan Number System
The Mayans used a base-20 (vigesimal) system, but for basic numbers 0–19, they used a vertical positional system with only two symbols:
- Dot (•) = 1
- Bar (—) = 5
- Shell (or eye-like symbol) = 0
Numbers are written vertically, with the lowest place value at the bottom.
But for Section 1 and 2, we’re only dealing with single-digit numbers (0–19) — so no need for place values yet. Just add up dots and bars in each row.
---
# ✔ SECTION 1: Identify the Numbers
We’ll go one by one.
---
→ Two dots = 1 + 1 = 2
———
→ Two dots above one bar = (1+1) + 5 = 7
———
———
→ Three bars = 5 + 5 + 5 = 15
———
———
→ One dot above two bars = 1 + 5 + 5 = 11
———
———
———
→ One dot above three bars = 1 + 5 + 5 + 5 = 16
→ Four dots = 1+1+1+1 = 4
———
→ Four dots above one bar = 4 + 5 = 9
→ One bar = 5
———
→ One dot above one bar = 1 + 5 = 6
→ This is the Mayan symbol for 0
---
## 📝 Section 1 Answers:
1. 2
2. 7
3. 15
4. 11
5. 16
6. 4
7. 9
8. 5
9. 6
10. 0
---
# ✔ SECTION 2: Convert Numbers to Mayan Symbols
Now, convert each number into its Mayan symbol using dots (•) and bars (—). Remember:
- Use as few symbols as possible.
- Max 4 dots per level (since 5 is a bar).
- Max 3 bars per level (since 4 bars = 20, which is next place value — not needed here).
---
→ 12 = 2×5 + 2 → Two bars + two dots
———
———
• •
*(Note: In Mayan writing, it’s vertical — bottom is lowest value. So write dots above bars? Actually, for single digit, it's just one “level” — so we write the bars and dots together.)*
✔ Standard representation:
• •
———
———
*(Two dots over two bars — total 2 + 5 + 5 = 12)*
---
→ 17 = 3×5 + 2 → Three bars + two dots
• •
———
———
———
✔ Answer:
• •
———
———
———
---
→ Four dots (no bars needed)
✔ Answer: • • • •
---
→ 11 = 2×5 + 1 → Two bars + one dot
✔ Answer:
•
———
———
---
→ Two bars (5 + 5)
✔ Answer:
———
———
---
→ Wait! 20 is the base. In Mayan system, 20 is written as 1 dot in the next higher position and 0 in the lower position.
But since this worksheet likely expects basic symbols, and 20 is often shown as:
•
🐚
*(One dot above zero/shell)*
✔ Answer:
•
🐚
*(If you must draw it, put a dot on top and shell below.)*
---
→ One bar + one dot
✔ Answer:
•
———
---
→ 2×5 + 3 = Two bars + three dots
✔ Answer:
• • •
———
———
---
→ One bar + four dots
✔ Answer:
• • • •
———
---
→ Shell symbol (same as #10)
✔ Answer: 🐚 (draw the shell/eye)
---
## 📝 Section 2 Answers (with drawings described):
11. 12 →
• •
———
———
12. 17 →
• •
———
———
———
13. 4 → • • • •
14. 11 →
•
———
———
15. 10 →
———
———
16. 20 →
•
🐚
17. 6 →
•
———
18. 13 →
• • •
———
———
19. 9 →
• • • •
———
20. 0 → 🐚
---
## 🎯 Final Answer Summary
1. 2
2. 7
3. 15
4. 11
5. 16
6. 4
7. 9
8. 5
9. 6
10. 0
You should draw the following:
11. Two dots over two bars
12. Two dots over three bars
13. Four dots
14. One dot over two bars
15. Two bars
16. One dot over shell (zero)
17. One dot over one bar
18. Three dots over two bars
19. Four dots over one bar
20. Shell (zero)
---
Let me know if you’d like printable versions or visual diagrams! 😊
---
## 🌿 Understanding the Mayan Number System
The Mayans used a base-20 (vigesimal) system, but for basic numbers 0–19, they used a vertical positional system with only two symbols:
- Dot (•) = 1
- Bar (—) = 5
- Shell (or eye-like symbol) = 0
Numbers are written vertically, with the lowest place value at the bottom.
But for Section 1 and 2, we’re only dealing with single-digit numbers (0–19) — so no need for place values yet. Just add up dots and bars in each row.
---
# ✔ SECTION 1: Identify the Numbers
We’ll go one by one.
---
1. • •
→ Two dots = 1 + 1 = 2
2. • •
———
→ Two dots above one bar = (1+1) + 5 = 7
3. ———
———
———
→ Three bars = 5 + 5 + 5 = 15
4. •
———
———
→ One dot above two bars = 1 + 5 + 5 = 11
5. •
———
———
———
→ One dot above three bars = 1 + 5 + 5 + 5 = 16
6. • • • •
→ Four dots = 1+1+1+1 = 4
7. • • • •
———
→ Four dots above one bar = 4 + 5 = 9
8. ———
→ One bar = 5
9. •
———
→ One dot above one bar = 1 + 5 = 6
10. 🐚 (shell/eye symbol)
→ This is the Mayan symbol for 0
---
## 📝 Section 1 Answers:
1. 2
2. 7
3. 15
4. 11
5. 16
6. 4
7. 9
8. 5
9. 6
10. 0
---
# ✔ SECTION 2: Convert Numbers to Mayan Symbols
Now, convert each number into its Mayan symbol using dots (•) and bars (—). Remember:
- Use as few symbols as possible.
- Max 4 dots per level (since 5 is a bar).
- Max 3 bars per level (since 4 bars = 20, which is next place value — not needed here).
---
11. 12
→ 12 = 2×5 + 2 → Two bars + two dots
———
———
• •
*(Note: In Mayan writing, it’s vertical — bottom is lowest value. So write dots above bars? Actually, for single digit, it's just one “level” — so we write the bars and dots together.)*
✔ Standard representation:
• •
———
———
*(Two dots over two bars — total 2 + 5 + 5 = 12)*
---
12. 17
→ 17 = 3×5 + 2 → Three bars + two dots
• •
———
———
———
✔ Answer:
• •
———
———
———
---
13. 4
→ Four dots (no bars needed)
✔ Answer: • • • •
---
14. 11
→ 11 = 2×5 + 1 → Two bars + one dot
✔ Answer:
•
———
———
---
15. 10
→ Two bars (5 + 5)
✔ Answer:
———
———
---
16. 20
→ Wait! 20 is the base. In Mayan system, 20 is written as 1 dot in the next higher position and 0 in the lower position.
But since this worksheet likely expects basic symbols, and 20 is often shown as:
•
🐚
*(One dot above zero/shell)*
✔ Answer:
•
🐚
*(If you must draw it, put a dot on top and shell below.)*
---
17. 6
→ One bar + one dot
✔ Answer:
•
———
---
18. 13
→ 2×5 + 3 = Two bars + three dots
✔ Answer:
• • •
———
———
---
19. 9
→ One bar + four dots
✔ Answer:
• • • •
———
---
20. 0
→ Shell symbol (same as #10)
✔ Answer: 🐚 (draw the shell/eye)
---
## 📝 Section 2 Answers (with drawings described):
11. 12 →
• •
———
———
12. 17 →
• •
———
———
———
13. 4 → • • • •
14. 11 →
•
———
———
15. 10 →
———
———
16. 20 →
•
🐚
17. 6 →
•
———
18. 13 →
• • •
———
———
19. 9 →
• • • •
———
20. 0 → 🐚
---
## 🎯 Final Answer Summary
Section 1:
1. 2
2. 7
3. 15
4. 11
5. 16
6. 4
7. 9
8. 5
9. 6
10. 0
Section 2:
You should draw the following:
11. Two dots over two bars
12. Two dots over three bars
13. Four dots
14. One dot over two bars
15. Two bars
16. One dot over shell (zero)
17. One dot over one bar
18. Three dots over two bars
19. Four dots over one bar
20. Shell (zero)
---
Let me know if you’d like printable versions or visual diagrams! 😊
Parent Tip: Review the logic above to help your child master the concept of mayan math worksheet.