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Cool math trick - work out cubic numbers fast!

310.3K views
•
February 8, 2013
by
tecmath
YouTube video player
Cool math trick - work out cubic numbers fast!

TL;DR

Learn a math trick to quickly cube numbers between 11 and 20 using a letter value, and discover a helpful table for cubing numbers 1 to 9.

Transcript

good day and welcome to the tech math Channel what we're going to be having a look at in this video is we're going to be looking at a way of cubing any number between 11 and 20 it's a really good little trick it's actually going to lead us on to work out how to cube any number between 1 and 100 so sit back and I'll show you how to do it so say for ... Read More

Key Insights

  • 💌 The video presents a method to cube numbers between 11 and 20 by assigning a letter value and following a specific procedure.
  • 🧊 By using the trick, one can quickly calculate the cube of a number by doubling and adding specific values.
  • 🧊 Memorizing the cube values in the table provided allows for quick calculations of cubes and even cube roots.
  • 🌥️ The trick can be extended to larger numbers, but using the table becomes more efficient beyond 19.
  • 🧊 Understanding the trick and table can enhance mathematical problem-solving and calculations involving cubes and cube roots.
  • #️⃣ This method provides a practical application of algebraic concepts in number manipulation.
  • 🧊 Knowing the cube values can be useful in various mathematical scenarios, such as geometry, engineering, and data analysis.

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Questions & Answers

Q: How does the trick for cubing numbers between 11 and 20 work?

The trick involves assigning a letter value (B) to the tens digit of the number and following a specific method of writing down the value, value squared, and value cubed. Doubling and adding these values yields the cube of the number.

Q: What is the purpose of the table showcasing the cubes of numbers 1 to 9?

The table provides a quick reference for calculating cubes of numbers 1 to 9. By memorizing the cube values in the table, it becomes easier to calculate cubes of numbers beyond 20 and even work with cube roots.

Q: Can the trick be applied to numbers beyond 20?

While the trick specifically focuses on numbers between 11 and 20, it can be extended to larger numbers. However, for numbers beyond 19, it becomes more efficient to use the table to calculate cubes.

Q: How can the table be used to find cube roots?

By referencing the table, you can identify the cube value and determine the corresponding number. This allows you to work with cube roots and find the number that, when cubed, gives the desired value.

Summary & Key Takeaways

  • The video demonstrates a trick to cube numbers between 11 and 20 by assigning a letter value and following a specific method.

  • By using the trick, you can calculate the cube of a number by writing down its value, value squared, and value cubed, then doubling these values and adding them up.

  • The video also presents a table showcasing the cubes of numbers 1 to 9, which can be used to quickly calculate cube roots and work with numbers up to 100.


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