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Understanding Science: 7 Steps and Cool Concepts

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M

Mohamed

23/08/2022

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
...

23/08/2022

60

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Maths

60

23 Aug 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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Paul T

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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

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

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

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user