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Understanding Science: 7 Steps and Cool Concepts

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M

Mohamed

8/23/2022

Maths

Recurring decimals with fractions

Understanding Science: 7 Steps and Cool Concepts

The scientific method is a systematic approach to investigating phenomena and acquiring knowledge. It involves seven key steps that guide researchers in formulating hypotheses, conducting experiments, and drawing conclusions.

  • The scientific method provides a structured framework for scientific inquiry and discovery
  • It emphasizes objectivity, empirical evidence, and reproducibility of results
  • The process helps minimize bias and errors in research
  • Understanding the scientific method is crucial for students pursuing careers in science and research
...

8/23/2022

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Maths

60

Aug 23, 2022

1 page

Understanding Science: 7 Steps and Cool Concepts

M

Mohamed

@mohamed_lbnj

The scientific method is a systematic approach to investigating phenomena and acquiring knowledge. It involves seven key steps that guide researchers in formulating hypotheses, conducting experiments, and drawing conclusions.

  • The scientific method provides a structured framework for scientific inquiry and... Show more

a
O
ী
Q 20742
@
fraction
x= 2.7424242
10x=27.424242
100x = 274.24242
1000X = 4742-4242
940x = 2468
११०
(11) prove 0.216 as
obb
_0.43
= 2
c=0

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Converting Recurring Decimals to Fractions

This page provides a comprehensive guide on converting recurring decimals to fractions. The method involves algebraic manipulation to transform repeating decimal numbers into their exact fractional equivalents.

The process begins by assigning a variable typicallyxtypically x to represent the recurring decimal. Then, the decimal is multiplied by powers of 10 to shift the decimal point and create equations that can be subtracted to eliminate the repeating part. This algebraic approach allows for solving the resulting equation to find the fractional representation.

Example: Converting 2.742424... to a fraction

  1. Let x = 2.742424...
  2. Multiply by 10: 10x = 27.42424...
  3. Multiply by 100: 100x = 274.2424...
  4. Multiply by 1000: 1000x = 2742.424...
  5. Subtract equations to eliminate recurring part
  6. Solve for x to get the fraction 2468/940

Highlight: The key to converting recurring decimals to fractions is identifying the repeating pattern and using algebraic manipulation to isolate it.

The page also includes additional examples:

  1. Converting 0.216 to a fraction
  2. Converting 0.43 to a fraction
  3. Converting 0.4333... to a fraction

Vocabulary: Recurring decimal - A decimal number in which a digit or group of digits repeats indefinitely after the decimal point.

These examples demonstrate the versatility of this method for different types of recurring decimals, including those with non-recurring parts before the repeating sequence.

Definition: Non-recurring part - The digits that appear before the repeating sequence in a recurring decimal.

By following these steps and practicing with various examples, students can master the skill of converting repeating decimals to fractions without relying on a calculator. This technique is valuable for precise calculations and understanding the relationship between decimal and fractional representations of numbers.

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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user