https://file.aiquickdraw.com/mathbot/file/1729086861505hfeeup5f.jpg

To convert this Babylonian numeral into a Hindu-Arabic numeral, we need to understand how the Babylonian numeral system works. The Babylonian system is a base-60 (sexagesimal) system, using two main symbols:
- A vertical wedge "𒐈" which represents the value 1.
- A sideways wedge "𒐉" which represents the value 10.

### Analysis of the Symbols:
The image shows two rows of symbols:
1. **First row**: 
   - Two "𒐈" (vertical wedges)
   - One "𒐉" (sideways wedge)
   - Three "𒐈" (vertical wedges)
   
   This can be interpreted as:
   - \( 2 \times 1 = 2 \) (units)
   - \( 1 \times 10 = 10 \) (tens)
   - \( 3 \times 1 = 3 \) (additional units)

   Together, this forms \( 13 \) in the Babylonian system.
   
2. **Second row**:
   - One "𒐉" (sideways wedge)
   - Three "𒐈" (vertical wedges)

   This can be interpreted as:
   - \( 1 \times 10 = 10 \) (tens)
   - \( 3 \times 1 = 3 \) (units)
   
   Together, this forms \( 13 \).

### Constructing the Number:
In the Babylonian system, numbers are grouped in powers of 60. Here, the first row represents the value in the 60s place, and the second row is in the units place.

Thus, the value is:
\[
13 \times 60 + 13 = 780 + 13 = 793
\]

### Conclusion:
The Babylonian numeral translates to **793** in the Hindu-Arabic numeral system.

Would you like more details, or have any questions?

Here are 5 related questions:
1. How does the base-60 (sexagesimal) system differ from the decimal system?
2. How would a number greater than 60 be represented in the Babylonian system?
3. What are some historical uses of the Babylonian numeral system?
4. Can you convert a given Hindu-Arabic number into a Babylonian numeral?
5. What challenges arise when interpreting ancient numeral systems like the Babylonian one?

**Tip:** Remember, the Babylonian system does not have a "zero" placeholder, which sometimes makes interpretation tricky, especially with large numbers.

Write the following Babylonian numeral as a Hindu-Arabic numeral.

Learn how to convert a Babylonian numeral into a Hindu-Arabic numeral. This example shows the Babylonian numeral system, a base-60 system, and its conversion step-by-step, resulting in the number 793.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation