Which is the worst math debate: 0^0, sqrt(1), 0.999...=1, or 12/3(4)? | Summary and Q&A

TL;DR

This video discusses the most debated math topics on the internet, including zero to the power of zero, square root of one, 0.999 repeating, and order of operations.

Key Insights

• 0️⃣ The debate over zero to the power of zero is unresolved, with arguments for both undefined and one.
• 🫚 The square root of one is one, but can be plus or minus one when solving equations.
• ⚾ 0.999 repeating is mathematically equal to one, based on the concept of a converging geometric series.

Transcript

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Questions & Answers

Q: Is zero to the power of zero equal to one or undefined?

The answer is debatable, with arguments for both sides. Some believe it is undefined, while others argue it is equal to one based on conventions or definitions.

Q: What is the square root of one?

The square root of one is equal to one, specifically the positive square root. If solving an equation, it can be plus or minus one to account for both possibilities.

Q: Is 0.999 repeating equal to one?

Yes, 0.999 repeating is equal to one. This is based on the concept of a converging geometric series, where each term is multiplied by 10 and the series adds up to one.

Q: What is the correct result of 12 divided by 3, multiplied by 4?

The correct result is 16. The order of operations dictates that we proceed from left to right, taking into account both division and multiplication.

Summary & Key Takeaways

• Zero to the power of zero is a debated topic, with some arguing it is undefined and others arguing it is equal to one.

• The square root of one is considered to be one, but if solving an equation, it can be plus or minus one.

• 0.999 repeating is equal to one, as it represents a converging geometric series.

• The order of operations dictate that 12 divided by 3, multiplied by 4, equals 16, not 1.