The Incan Quipu: Ancient Place Value Code in Knots

The Incan Quipu: Ancient Place Value Code in Knots

 What Is a Quipu?

A quipu (also spelled khipu) was a sophisticated record-keeping system used by the Inca Empire. Instead of writing, the Inca used knotted cords to store and transmit data. This method allowed them to manage a vast empire without a written language.

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 When Did It Exist?

Quipus were used primarily during the Inca Empire (c. 1438–1533 CE), though early versions date back thousands of years, possibly as far as 2600 BCE in ancient Andean cultures.

 What Was It For?

Quipus were used to record:

  • Population counts

  • Taxes and tributes

  • Harvest data

  • Military organization

  • Possibly oral stories or messages

 How Did It Work?

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A quipu is made of a main horizontal cord with many hanging strings. Each string had:

  • Knots in different patterns (representing numbers)

  • Colors (representing categories like corn, gold, or soldiers)

  • Lengths and spacing to indicate place value (units, tens, hundreds)

The Inca used a base-10 system, so:

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  • A knot near the top of a string might mean “hundreds”

  • A knot near the middle could mean “tens”

  • A knot near the bottom meant “units”

  • For example:
    A string with three knots close together at the bottom could represent the number "3". Add a different knot a bit higher up? Now it might represent "13" or "103" depending on its position.

 

It is interesting to show students how different civilizations showed numbers and place value. It is a great way to start discussions and combine history and math. 

How to Use Quipu in the Classroom

Exploration

Show a quipu and ask them what they think it might be, what it might show. Show different pictures of quipus

and ask them to decode the numbers.  

 Make Your Own Quipu

Materials: Yarn or string, beads (optional), colored markers

  • Assign a color to a category (e.g., red = people, blue = food)

  • Tie knots to represent numbers

  • Have students “read” each other’s quipus

Practice Math

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Teach place value:

  • A low knot = 1s

  • A middle knot = 10s

  • A high knot = 100s

Let students decode numbers tied by classmates.

Cross-Curricular Integration

 Why It’s Important

The quipu is a powerful example of non-written communication. It challenges assumptions about intelligence, literacy, and innovation, and shows that data recording has existed in many forms long before pen and paper.

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