Converting Recurring Decimals to Fractions - GCSE Higher Maths

A video explaining how to convert a recurring decimal into a fraction. This is a very common exam topic for paper 1 in particular.
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0:00 What is a recurring decimal?
2:05 First Example
4:03 Second Example
6:10 Third Example
6:49 Trickier Example
9:41 Even Trickier Example!
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[@LOLlaugh905]

best explaination

[@AjitKumar-zs3hq]

Thankyou very much sir ❤

[@aahlmiead]

Thank u soooooooooooooo much my mathsteacher explained it to us not that good in 1 hour and u got me to understand it in 10 mins TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK 😁😁😁😁

[@1stClassMaths]

Glad it helped!

[@Hayat_haju]

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[@bakyengacatherine7255]

Thanks U😊😊😊😊😊😊😊😊I like ur teaches ❤

[@MiaNomoNomo]

Excellent lesson, finally I understand. Thank you!

[@1stClassMaths]

You are welcome!

[@gabriellamurphy1367]

thanks

[@user-lk3nb7du4i]

beautiful

[@1stClassMaths]

Thank you! 😊

[@lishacee]

Thankuuuu

[@Yankisyumis]

Thanks it really helped

[@1stClassMaths]

You're welcome!

[@diegomandragora4327]

When I solved the last example (correctly) )and I wanted to verify it on my Casio calculator, it gave me a "syntax error". Funny enough when I typed in the fraction equivalent and used the SD button it displayed the EXACT SAME recurring value as an answer that it had refused to accept from me only minutes before. It really baffles me why... It doesn't make sense! 🙄

[@1stClassMaths]

What did you type in exactly?

[@diegomandragora4327]

@@1stClassMaths
I typed in the actual 0.6425 and I put dots above 2 and above 5 as well.
Pressed equal and it gave me an error.
I've played around a little bit and I've actually managed to answer my own question.
I should have used the "recurring" button just once and keep typing, it will put the dots ontop of both just the same, but without error message this time.
Thank's for trying to help though, highly appreciated!
🙂

[@1stClassMaths]

Ah no worries. Glad you managed to sort it. Calculators generally behave correctly but sometimes we just need to learn the language they are expecting.

[@anashemo21508]

Why do we have to multiply the decimals by powers of 10?

[@AjitKumar-zs3hq]

To shift the decimal brother

[@diegomandragora4327]

No! We are not multiplying anything by powers of 10!
Where did you see any powers in this video?There's no square, cube or anything that is a "power".
Also, we are not multiplying "just" the decimals. We are multiplying the whole number, so our number becomes 10 times larger whenever we are moving the decimal point one hop to the right.But that's still multiplication and not exponentiation ie not "powers".
Don't confuse the two.🙂
And we are doing all this work because we want numbers after the dp that has the same value so we can get rid of all the decimals and proceed to solve the problem using simple algebra.
I hope this clarifies it for you!
Keep it up! 💪

[@1stClassMaths]

@@diegomandragora4327 we are multiplying by powers of 10.

[@diegomandragora4327]

@@1stClassMaths
That's correct.Thank's for highlighting!
In this sense yes! we can say - correctly - that we are multiplying by powers of 10.
Which is basically the other name for 10,100,1000...and so on.
Since they are just equivalent of 10on the first power, 10squared, 10cubed etc.
We can certainly think of it that way!
I apologise...