Gauss's Summation Technique Quiz

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Questions and Answers

What was Gauss's answer to the sum of numbers 1 to 100?

  • 5050 (correct)
  • 4950
  • 5000
  • 5100

What technique did Gauss use to solve the sum of numbers 1 to 100?

  • Multiplication
  • Subtraction
  • Pairing numbers (correct)
  • Division

What is the sum of each column when pairing the numbers 1 to 10 using Gauss's technique?

  • 11 (correct)
  • 10
  • 15
  • 12

What did Gauss's lazy teacher ask the class to do?

<p>Add the numbers 1 to 100 (D)</p> Signup and view all the answers

What was the purpose of Gauss sharing explanations of his result?

<p>To understand it intuitively (A)</p> Signup and view all the answers

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Study Notes

Gauss's Famous Math Trick

  • Gauss's answer to the sum of numbers 1 to 100 is 5,050.
  • Gauss used a technique called "pairing numbers" to solve the sum of numbers 1 to 100.

Pairing Numbers Technique

  • When pairing the numbers 1 to 10, each column adds up to 11 (1+10, 2+9, 3+8, etc.).
  • Gauss used this technique to calculate the sum of numbers 1 to 100.

Origin of the Problem

  • Gauss's lazy teacher asked the class to add up the numbers 1 to 100 as a punishment for misbehavior.

Sharing the Solution

  • Gauss shared explanations of his result to show how he arrived at the answer.
  • This helped to demonstrate his mathematical genius and problem-solving skills.

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