Early Number Representations

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Questions and Answers

Why were scribes considered important professions in early Egyptian society?

  • They were responsible for constructing monumental architecture.
  • They managed the military forces and led them in battles.
  • They possessed the rare ability to read and write, essential for record-keeping and problem-solving. (correct)
  • They were the only individuals allowed to trade with neighboring civilizations.

What is a key difference between early Egyptian numerals and modern numerals?

  • Modern numerals are based on pictorial representations, while Egyptian numerals are abstract symbols.
  • Egyptian numerals could only represent prime numbers.
  • Modern numerals cannot represent fractions, whereas Egyptian numerals could.
  • Egyptian numerals typically required more space to represent larger numbers compared to modern numerals. (correct)

In the Egyptian numeral system, what value does the 'heel bone' symbol represent?

  • 1000
  • 1
  • 10 (correct)
  • 100

Which of the following is the most accurate representation of the number 23 in the early Egyptian numeral system?

<p>/// (C)</p> Signup and view all the answers

What was the original function of hieroglyphics in the Egyptian numeral system?

<p>Representing pictorial characters of objects. (D)</p> Signup and view all the answers

Which symbol represents 1000 in the early Egyptian numeral system?

<p>Lotus flower (C)</p> Signup and view all the answers

Based on the information provided, what is a limitation of the early Egyptian numeral system?

<p>It required substantial space to represent large numbers. (C)</p> Signup and view all the answers

If (/) represents 1, represents 10, and ( 9 ) represents 100 in a different numeral system, how would you represent the number 123?

<p>9/// (A)</p> Signup and view all the answers

What societal need primarily drove the development of early numerical systems in ancient Egypt?

<p>Managing agricultural production and resources. (B)</p> Signup and view all the answers

Which of the following is the symbol for 100,000 in the early Egyptian numeral system?

<p>Tad pole (D)</p> Signup and view all the answers

Flashcards

What are numerals?

Early forms of number representation

Egyptian numeral for 1

Vertical stroke (/)

Egyptian numeral for 10

Heel bone (n)

Egyptian numeral for 100

Coil or snare (@)

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Primitive Egyptian writings

Hieroglyphics containing pictorial characters

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Evolution of Egyptian numerals

Simplified symbols for numbers

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Egyptian numeral for 1000

Lotus flower

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Study Notes

Early Number Representations

  • Numerals were represented differently in the early number systems.
  • / (vertical stroke) = 1.
  • ∩ (heel bone) = 10.
  • 9 (coil/snare) = 100.
  • Lotus flower = 1,000.
  • Pointed finger = 10,000.
  • Tadpole = 100,000.
  • Astonished man = 1,000,000.
  • Primitive Egyptian writings (hieroglyphics) used pictorial characters that were simplified into conventional symbols over time.
  • Examples: 1 = /, heel bone (n) = 10, snare (9) = 100, lotus flower = 1,000.
  • Similar symbols existed for numbers like 100,000 and 1,000,000, but they weren't frequently used.
  • Example: 532 = 9999000/// , 47 = ∩∩∩∩///////.
  • Few people could write, so scribes were called professions.
  • Arithmetic operations were developed to compute farm products.
  • Addition: 57 + 24 = /////∩∩∩∩∩////// + ∩∩/// means count 10 ones and convert them to a 10 (heel bone) to get ∩∩∩∩////// and ∩∩∩ = 81.
  • These symbols took up too much space compared to modern numerals.

Egyptian numbers (1-10) representations

  • 1 = /
  • 2 = //
  • 3 = ///
  • 4 = ////
  • 5 = /////
  • 6 = ////////
  • 7 = ///////
  • 8 = ////////
  • 9 = /////////
  • 10 = ∩

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