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Author: Subject: Maths problem
Slater

posted on 22/1/19 at 09:01 AM Reply With Quote
Maths problem

Help....... I used to be good at maths, but my daughter has stumped me with this one:

x = 0.436 (with the 3 and 6 being recurring)

Prove algebraically that x can be written as 24/55


I might post some others.....working through them right now.





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tegwin

posted on 22/1/19 at 09:09 AM Reply With Quote
24 divided by 55 equals 0.43636363 which equals x therefore x equals 24/55?





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russbost

posted on 22/1/19 at 09:48 AM Reply With Quote
Tegwin, I don't think that counts as an "algebraic proof"





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Slater

posted on 22/1/19 at 09:49 AM Reply With Quote
Surely it can't be as simple as that, I think there needs to be some algebra in there somehow.

What a strange question.....





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liam.mccaffrey

posted on 22/1/19 at 09:57 AM Reply With Quote
let x=0.436 recurring
multiply both side by 10 gives
10x= 4.36 recurring

multiply both side by 1000 gives
1000x= 436.36 recurring

therefore (1000x - 10x) = 436.36r -4.36r (this gets rid of the recurring decimal)

This gives

990x = 436-4

990x = 432

rearranging gives

x = 432/990
simplifies to

x= 24/55





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wylliezx9r

posted on 22/1/19 at 10:07 AM Reply With Quote
24/55=0.436=x

24=0.436*55=55X

24= 23.98 = 55x

23.98/24 = 55X/24

23.98/4 CANCELS DOWN TO 1 (OR WOULD OF IF I HAD A PROPER CALCULATOR WITH RECURRING FUNCTION)

LEAVING 55X/24

REARANGED X =24/55



[Edited on 22/1/19 by wylliezx9r]





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Slater

posted on 22/1/19 at 10:48 AM Reply With Quote
Nice, you boys are cleverer than you look. I think Liams' solution is right, I would not have come up with that.

What a great forum this is. Thanks both.





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rusty nuts

posted on 22/1/19 at 11:37 AM Reply With Quote
If you had asked this question 50 years ago I would have worked it out in my head.

What was the question?

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nick205

posted on 22/1/19 at 11:55 AM Reply With Quote
I have similar difficulties helping my kids with their maths homework.

I didn't find maths difficult at school, but age has bitten and my brain power isn't what it used to be.

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Mr Whippy

posted on 22/1/19 at 12:20 PM Reply With Quote
the answer is 42
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liam.mccaffrey

posted on 22/1/19 at 01:31 PM Reply With Quote
How old is your daughter, that problem is far too difficult for GCSE. A-level maybe.





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Angel Acevedo

posted on 22/1/19 at 03:21 PM Reply With Quote
quote:
Originally posted by rusty nuts
If you had asked this question 50 years ago I would have worked it out in my head.

What was the question?


No wonder there´s "rusty" on your forum name...
50 years ago I´d have mumbled "gu-gu-da-da"






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wylliezx9r

posted on 22/1/19 at 03:43 PM Reply With Quote
quote:
Originally posted by Slater
Nice, you boys are cleverer than you look. I think Liams' solution is right, I would not have come up with that.

What a great forum this is. Thanks both.


I think you'll find both solutions are correct but just done in different ways. I haven't been able to show all the working with my method - it's very difficult to show the cross cancellation and re-arrangement but its very basic algebra probably A-level.





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SteveWalker

posted on 22/1/19 at 04:00 PM Reply With Quote
quote:
Originally posted by nick205
I have similar difficulties helping my kids with their maths homework.

I didn't find maths difficult at school, but age has bitten and my brain power isn't what it used to be.


I can still do the maths they do today - once I can figure out the meaning of the question. So many terms and methods seem to have changed names.

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02GF74

posted on 22/1/19 at 04:55 PM Reply With Quote
quote:
Originally posted by wylliezx9r
quote:
Originally posted by Slater
Nice, you boys are cleverer than you look. I think Liams' solution is right, I would not have come up with that.

What a great forum this is. Thanks both.


I think you'll find both solutions are correct but just done in different ways. I haven't been able to show all the working with my method - it's very difficult to show the cross cancellation and re-arrangement but its very basic algebra probably A-level.


Sorry but no. , Liam subtraction gets rid of the recurring sequence, whereas yours would only work if you had a calculator that can represent decimals to an infinite number of places, which don't exist.





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steve m

posted on 22/1/19 at 07:00 PM Reply With Quote
Im with Mr Whippy,

42





Thats was probably spelt wrong, or had some grammer, that the "grammer police have to have a moan at




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Andybarbet

posted on 22/1/19 at 08:04 PM Reply With Quote
42 Spot on :-)





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Slater

posted on 22/1/19 at 08:40 PM Reply With Quote
Hi, daughter is 15, doing GCSE Maths level 1. I took Maths O level age 15 and somehow got an A, but that question stumped me.

She says a big thank you to Liam, and that Mr Whippy must be a fool.

Obviously too young for HHGTTG.





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liam.mccaffrey

posted on 22/1/19 at 09:54 PM Reply With Quote
I knew that maths degree would come in handy........one day





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nick205

posted on 23/1/19 at 09:27 AM Reply With Quote
quote:
Originally posted by Angel Acevedo
quote:
Originally posted by rusty nuts
If you had asked this question 50 years ago I would have worked it out in my head.

What was the question?


No wonder there´s "rusty" on your forum name...
50 years ago I´d have mumbled "gu-gu-da-da"




50 years ago I don't think I was even a thought in my parents heads (I'm the oldest of 3 children by the way)

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Mr Whippy

posted on 23/1/19 at 12:29 PM Reply With Quote
quote:
Originally posted by Slater
Help....... I used to be good at maths, but my daughter has stumped me with this one:

x = 0.436 (with the 3 and 6 being recurring)

Prove algebraically that x can be written as 24/55


I might post some others.....working through them right now.


anyway why are you doing her home work? tell her to do it herself the cheater

I've probably forgot 99% of the maths I got at school, makes not difference tbh, I have excel here to do it for me or google if I get stuck

I'm just waiting for the micro chip they stick in your head that gives you access to the internet just by the power of thought

Then I'll be


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