- #1
chickenguy
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hi everyone, i am a year eight student and i need to do a project for maths. could you first of all please tell me what you think about this topic and do you believe that 0.99999999999999.....=1. thanks a lot!
chickenguy said:hi everyone, i am a year eight student and i need to do a project for maths. could you first of all please tell me what you think about this topic and do you believe that 0.99999999999999.....=1. thanks a lot!
Either the set of terms is finite (in that case the series is less than one) or the set of terms is infinite and we have achieved "at infinity".
"Now consider the infinite series:
[1/2 + 1/4 + 1/8 + 1/16 + ... + 1/(2^n)] + [1/(2^n)]
Please note that the first part of the series (in first brackets) equals 1 at infinity.
Please note that the partial sums of all terms always equal 1.
Please note that the second part of the series (in second brackets) is receeding to zero as n increases.
THEREFORE, the second part of the series must equal zero "at infinity" which means that 1/(2^oo) = 0.
I am not saying that the Limit is zero I am saying that it is necessary that EQUALITY to zero must true."
1 = .9999...(not infinity??). Either the set of terms is finite (in that case the series is less than one) or the set of terms is infinite and we have achieved "at infinity".
No Skills said:SUM N FROM 1 TO INFINITY [9*(1/10^N)] = .99999...
What is so hard for you to see about this infinite series?
No Skills said:SUM N FROM 1 TO INFINITY [9*(1/10^N)] = .99999...
What is so hard for you to see about this infinite series?
No Skills said:Sorry Hurky, but .9999... is a polynomial of the form
a*(1/10^n) for example 9*(10^-1) + 9(10^-2) + 9(10^-3) + ... to infinity
Sorry Halls of Ivy you are saying then
1 is NOT EQUAL to this Infinite sum .9999...
The Infinite sum converges on 1 and never equals it?!
This isn't worth discussing
No Skills said:Why don't we just agree that the infinite series .99999... EQUALS 1?
The purpose of a math project for a year 8 student is to help them apply the mathematical concepts and skills they have learned in a real-world scenario. This can enhance their understanding of the subject and develop their problem-solving skills.
When choosing a topic for a math project, it is important to consider your interests, strengths, and the curriculum. You can also look for inspiration from everyday situations, current events, or previous projects. Consult with your teacher to ensure the topic aligns with the learning objectives.
Some effective approaches to completing a math project include creating a plan or timeline, breaking the project into smaller tasks, and seeking help from teachers or classmates when needed. It is also crucial to understand the project requirements and follow the necessary steps to ensure a successful outcome.
A math project can be presented in an engaging way by incorporating visual aids such as graphs, charts, or diagrams. You can also use technology, such as interactive presentations or videos, to make the project more interactive. Additionally, adding a hands-on element or conducting a demonstration can help capture the audience's attention.
To have a successful math project presentation, it is important to rehearse and prepare beforehand. Ensure that you understand the content and can explain it clearly. Use visual aids, speak confidently, and engage with the audience by asking questions or encouraging participation. Practice your timing to ensure you cover all the key points within the allotted time.