Questions: Write the number using Egyptian numerals. 360,610

Write the number using Egyptian numerals.
360,610
Transcript text: Write the number using Egyptian numerals. \[ 360,610 \]
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Solution

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Solution Steps

To convert the number 360,610 into Egyptian numerals, we need to break it down into sums of powers of 10, using the largest possible values first. Egyptian numerals use specific symbols for 1, 10, 100, 1,000, 10,000, 100,000, and 1,000,000. We will decompose 360,610 into these values and represent each with the corresponding Egyptian numeral symbol.

Step 1: Decompose the Number

To convert \( 360,610 \) into Egyptian numerals, we first decompose it into its constituent parts based on the values represented by Egyptian symbols. The breakdown is as follows:

  • \( 300,000 = 3 \times 100,000 \)
  • \( 60,000 = 6 \times 10,000 \)
  • \( 600 = 6 \times 100 \)
  • \( 10 = 1 \times 10 \)
Step 2: Assign Egyptian Symbols

Using the Egyptian numeral symbols:

  • \( 100,000 \) is represented by \( ๐“‚ญ \)
  • \( 10,000 \) is represented by \( ๐“‚ง \)
  • \( 100 \) is represented by \( ๐“†ผ \)
  • \( 10 \) is represented by \( ๐“Ž† \)

We can now represent \( 360,610 \) as:

  • \( 3 \times 100,000 \) gives \( ๐“‚ญ๐“‚ญ๐“‚ญ \)
  • \( 6 \times 10,000 \) gives \( ๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“‚ง \)
  • \( 6 \times 100 \) gives \( ๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“†ผ \)
  • \( 1 \times 10 \) gives \( ๐“Ž† \)
Step 3: Combine the Symbols

Combining all the symbols together, we get the complete Egyptian numeral representation for \( 360,610 \): \[ ๐“‚ญ๐“‚ญ๐“‚ญ๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“Ž† \]

Final Answer

The Egyptian numeral representation of \( 360,610 \) is: \[ \boxed{๐“‚ญ๐“‚ญ๐“‚ญ๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“‚ง๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“†ผ๐“Ž†} \]

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