Counting with 4 4s: From 0 to Infinity

In summary, counting with 4 4s involves using four 4s and basic mathematical operations to create equations that equal every whole number from 0 to infinity. It is a mathematical exercise that helps improve problem-solving skills, critical thinking, and creativity. This concept has been around for many years and can be applied to other numbers as well. Practicing counting with 4 4s can improve mathematical skills and expand one's thinking abilities.
  • #1
fourier jr
765
13
Here's an old one: starting with 0 (or 1) list all the natural numbers using nothing but 4 4s. I'll go first.
0 = (4 - 4)/(4*4)
1 = (4*4)/(4*4)
2 = (4*4)/(4*sqrt(4))
... etc
 
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  • #3
i saw the thread a couple days ago, but i didn't see the stuff about the fours. argh
 

FAQ: Counting with 4 4s: From 0 to Infinity

How does counting with 4 4s work?

Counting with 4 4s involves using only four 4s and basic mathematical operations (addition, subtraction, multiplication, division, and exponentiation) to create equations that equal every whole number from 0 to infinity. For example, 4+4-4-4 = 0, 4x4/4+4 = 5, and 4^(4+4)/4 = 256.

What is the significance of counting with 4 4s?

Counting with 4 4s is a mathematical exercise that helps to improve problem-solving skills, critical thinking, and creativity. It also highlights the beauty and complexity of mathematics and its ability to represent the infinite nature of numbers.

Is counting with 4 4s a new concept?

No, counting with 4 4s has been around for many years and has been used as a fun and challenging mathematical exercise by mathematicians and educators. It is also popular among puzzle enthusiasts and has been featured in various books, games, and online challenges.

Can counting with 4 4s be applied to other numbers?

Yes, counting with 4 4s can be applied to other numbers besides four. For example, counting with 3 3s can be used to represent every whole number from 0 to infinity, and counting with 5 5s can be used to represent every prime number from 2 to infinity.

What are the benefits of practicing counting with 4 4s?

Practicing counting with 4 4s can improve mathematical skills, such as mental calculation and problem-solving. It can also increase one's understanding of basic mathematical operations and their relationships. Additionally, it can be a fun and challenging way to engage with mathematics and expand one's thinking abilities.

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