Questions: Write the number using Egyptian numerals.
360,610
Transcript text: Write the number using Egyptian numerals.
\[
360,610
\]
Solution
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 \( 𓂭 \)
\( 10,000 \) is represented by \( 𓂧 \)
\( 100 \) is represented by \( 𓆼 \)
\( 10 \) is represented by \( 𓎆 \)
We can now represent \( 360,610 \) as:
\( 3 \times 100,000 \) gives \( 𓂭𓂭𓂭 \)
\( 6 \times 10,000 \) gives \( 𓂧𓂧𓂧𓂧𓂧𓂧 \)
\( 6 \times 100 \) gives \( 𓆼𓆼𓆼𓆼𓆼𓆼 \)
\( 1 \times 10 \) gives \( 𓎆 \)
Step 3: Combine the Symbols
Combining all the symbols together, we get the complete Egyptian numeral representation for \( 360,610 \):
\[
𓂭𓂭𓂭𓂧𓂧𓂧𓂧𓂧𓂧𓆼𓆼𓆼𓆼𓆼𓆼𓎆
\]
Final Answer
The Egyptian numeral representation of \( 360,610 \) is:
\[
\boxed{𓂭𓂭𓂭𓂧𓂧𓂧𓂧𓂧𓂧𓆼𓆼𓆼𓆼𓆼𓆼𓎆}
\]