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
 

1. 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.

2. 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.

3. 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.

4. 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.

5. 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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