How to Divide by "Zero"

How to Divide by "Zero"

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video explores modular arithmetic, focusing on equivalence relations and quotient sets. It explains how integers can be grouped based on their remainders when divided by a number, using mod 5 as an example. The video discusses the properties of equivalence relations and how arithmetic can be performed on equivalence classes. It introduces quotient sets and touches on group theory. The video also presents a challenge involving metallic ratios and discusses viewer engagement and fun facts about ratios.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the relationship between modular arithmetic and rotational symmetries.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of equivalence classes extend beyond integers?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What challenges arise when trying to prove the existence of metallic ratios in polygons?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

In what ways can the search space for metallic ratios be narrowed?

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