Having fun with numbers

[Allan at Wallan]

These are only an illustration of having fun with numbers
... no need to work out solutions.

1x8+1=9
12x8+2=98
123x8+3=987
1234x+4=9876
12345x8+5=98765
123456x8+6=987654
1234567x8+7=9876543
12345678x8+8=98765432
123456789x8+9=987654321

1x9+2=11
12x9+3=111
123x9+4=1111
1234x9+5=11111
12345x9+6=111111
123456x9+7=1111111
1234567x9+8=11111111
12345678x9+9=111111111
123456789x9+10=1111111111

1x1=1
11x11=121
111x111=12321
1111x1111=1234321
11111x11111=123454321
111111x111111=12345654321
1111111x1111111=1234567654321
11111111x11111111=123456787654321
111111111x111111111=12345678987654321

No wonder Tax Accountants have an easy job.

Allan

_______________________________________

I once stole a calendar - and got 12 months.

[Wongo]

See mathematics is fascinating.:D

[joe greiner]

Google ["casting out nines"], with quotes to marry the keywords, for an interesting ancient verification process.

Joe

[Frank&Earnest]

Must have been more exciting 500 years ago, when Tartaglia, Cardano, Del Ferro, Fibonacci etc. were working these things out. Here is another one, just to upset Wongo:

1/9 = .11111111.......
2/9 = .22222222.......
3/9 = .33333333.......
4/9 = .44444444.......
5/9 = .55555555.......
6/9 = .66666666.......
7/9 = .77777777.......
8/9 = .88888888.......
9/9 = .99999999....... = 1:D

[Wongo]

... just to upset Wongo:

9/9 = .99999999....... = 1:D

:smack:

[Wongo]

I just invented another one

1 + 0 = 1
1 + 1 = 2
1 + 2 = 3
1 + 3 = 4
1 + 4 = 5
1 + 5 = 6
1 + 6 = 7
1 + 7 = 8
1 + 8 = 9

[zelk]

I just invented another one

1 + 0 = 1
1 + 1 = 2
1 + 2 = 3
1 + 3 = 4
1 + 4 = 5
1 + 5 = 6
1 + 6 = 7
1 + 7 = 8
1 + 8 = 9


Wongo,

You're right, maths is interesting, but I reckon you're even more interesting!:wink:

Zelk

[Wongo]

I’ll take it as a compliment. :B

[wheelinround]

FE Must have been more exciting 500 years ago, when Tartaglia, Cardano, Del Ferro, Fibonacci etc. were working these things out. Here is another one, just to upset Wongo:

1/9 = .11111111.......
2/9 = .22222222.......
3/9 = .33333333.......
4/9 = .44444444.......
5/9 = .55555555.......
6/9 = .66666666.......
7/9 = .77777777.......
8/9 = .88888888.......
9/9 = .99999999....... = 1:D

500 years ago these guy were like present day government employees not much worth doing today so lets invent something to do and getting paid for sitting on their behind.

[Ron Dunn]

I'd rather public servants sat around inventing interesting number tricks than imposing more stupid bloody rules on everything :(

Death to the Nanny State. Crucify the Safety Nazis. Hang, Draw and Quarter Harold (Screwball) Scruby.

Give me numbers any day.

[wheelinround]

With these numbers they create statistics which lie which people use to create Nazi laws

[AlexS]

OK, here's one for the kids...
12345679 x (9x1) = 111111111
12345679 x (9x2) = 222222222
...etc.

[Frank&Earnest]

500 years ago these guy were like present day government employees not much worth doing today so lets invent something to do and getting paid for sitting on their behind.

?:oo: Fibonacci was a trading post manager, Cardano was a physician, Luca Paciolo a university professor... The fact that later in life they might have had a pension from the local potentate is because they had not invented superannuation yet.:U

[ss_11000]

what did pythagoras do for a living:?

[Frank&Earnest]

He was a rich merchant. Shouldn't you be actually studying maths instead of mucking around with this stuff?:~:D

[ss_11000]

He was a rich merchant. Shouldn't you be actually studying maths instead of mucking around with this stuff?:~:D
what is this studying you talk of:?

i probably should. i only got 77% on our first test this year:- ( my probably my third or fourth lowest mkaths result ever! :no:)

[Allan at Wallan]

OK, here's one for the kids...
12345679 x (9x1) = 111111111
12345679 x (9x2) = 222222222
...etc.

Good one AlexS ... it is one I frequently play
with kids and it goes like this.

a) Ask the child which figure they have most
difficulty in writing. Let us say for this
exercise that the number is "5".
b) Tell the child you will give them a calculator
but they must promise to handwrite the
answer as shown on the calculator.
c) The child then uses the calculator and puts
in the number 12345679. It is important to
always use that number - do not include 8.
d) You then multiply their weak number "5"
by "9" which equals 45 and you ask the
child to multiply the original number 12345679
by 45. The answer will show on the calculator
will be all figure "5"s.
e) As promised in b) the child must handwrite the
answer. When finished I then ask the child
"Are you any better now at writing the figure "5"?

In other words always use 12345679 and always
multiply their weak number by "9". Their answer
will always come up as their weak number.

Before everyone jumps me, yes it would be better
if the child could multiply without the calculator
but it is frustrating watching them try.

Allan

______________________________________

I once stole a calendar - and got 12 months.

[AlexS]

OK Stirlo, you remember the quadratic formula, but can you show how it's derived?

[ss_11000]

OK Stirlo, you remember the quadratic formula, but can you show how it's derived?
if your asking if i can prove it then yes.

would you like a picture of my notes of it? ( if so, my summary folder is at school being checked:) - so it will have to wait till tuesday )...actually, i will just do up another copy after all, practise makes perfect.:D

[ss_11000]

there you go alex:)

pics not the best so just zoom into it at 200% and its alright.

[Wongo]

I like what I see grasshopper. Have a greenie.:D

[ss_11000]

cheers wongo:cool:

[Sir Stinkalot]

We have Numberwang!

[AlexS]

Rough enough's good enough.

Those who know no better may think these things are unimportant.
Wongo, Stirlo & I know better.

The things you need to know in life are:
sin, cos & tan relationships
sin & cosine rules
quadratic solution
& with Napier's rules you can find your way around the world.

[Wongo]

cheers wongo:cool:

You do know that most of us here learnt that in primary school don’t you? :cool:


:D

[ss_11000]

You do know that most of us here learnt that in primary school don’t you? :cool:


:D

lol:oo:

you sound just like my maths teacher:p..."i learnt this in year 8, i learnt that in year 5":rolleyes:.


Rough enough's good enough.

Those who know no better may think these things are unimportant.
Wongo, Stirlo & I know better.

The things you need to know in life are:
sin, cos & tan relationships
sin & cosine rules
quadratic solution
& with Napier's rules you can find your way around the world.maths is an exciting subject that we use every day in our lives:cool:...and you dont even know it:p...god, i sound like a geek:oo:

did you do a high level of maths at school Alex?:cool:

[AlexS]

did you do a high level of maths at school Alex?:cool:
No, I bludged my way through high school, but suddenly found that maths was interesting when I did surveying in my mid 20s, then maths/computing @ uni when my daughter did her HSC, so we were able to help each other.
I guess I was lucky because I could always apply maths to my work, never found it boring.

[Wongo]

Seriously Stirlo, your solution was a little bit messy at the end and your 4 doesn’t look like 4. Good maths is also about good presentation. Please do not think that I am being picky here, it is for your own good.

[ss_11000]

you never found maths boring:oo: i know alot of kids that would love to have that:D

i found maths boring untill this year when we actually started to do things that required me to think:D... maths used to be a subject i grudgingly went to but excelled at ( jnr HS maths is so simple and easy ) but now its my 2nd favourite subject that i study ( you cant beat chemistry:cool: ). i think its amazing how everything is connected ( how there are no coincidences in maths ).

[ss_11000]

Seriously Stirlo, your solution was a little bit messy at the end and your 4 doesn’t look like 4. Good maths is also about good presentation. Please do not think that I am being picky here, it is for your own good.
sorry, i will take more than a minute to do it next time:D

seriously - thanx for the tip:2tsup:

[AlexS]

Seriously Stirlo, your solution was a little bit messy at the end and your 4 doesn’t look like 4. Good maths is also about good presentation. Please do not think that I am being picky here, it is for your own good.
...and be careful that your square root sign encompasses what you want it to.

For bonus points, does the 'root' sign have a one-word name? If so, what is it?

[ss_11000]

well...the 'root' sign is made up of a 'tick' and a viniculum.

after a bit of research on wikipedia i have concluded that the 'tick' is called the "radical"

[AlexS]

The things you need to know in life are:
sin, cos & tan relationships
sin & cosine rules
quadratic solution
& with Napier's rules you can find your way around the world.

Also...
simultaneous equations
Check your calcs

For 4 of my 5 years at high school, my maths teachers were WII bomber navigators, they thought checking the calcs was important, & used to get upset when we said '...but I had the correct method'.

[joe greiner]

... For bonus points, does the 'root' sign have a one-word name? If so, what is it?

Couldn't resist the temptation; Google came to the rescue, and found this: http://www.bbc.co.uk/dna/h2g2/A827453

In the first paragraph of Step One: "radical," which I'd forgotten until now. Nice refresher on extracting square root without a computer, too.

Joe

[Ivan in Oz]

Couldn't resist the temptation; Google came to the rescue, and found this: http://www.bbc.co.uk/dna/h2g2/A827453

In the first paragraph of Step One: "radical," which I'd forgotten until now. Nice refresher on extracting square root without a computer, too.

Joe

G'Day Joe,
I actually learnt this at school.
Trouble is, I kept forgetting to double the progressive answer.

Stirlo,
I know what you mean:2tsup:
Maths and chemistry were GOOD
Physics was interesting:cool:

Depending on how WRONG the experiment went:rolleyes::oo::doh:

[AlexS]

Thanks Joe, you've refreshed my memory, I knew that once.
Also learned that method of extracting square roots at school.

[AlexS]

well...the 'root' sign is made up of a 'tick' and a viniculum.

after a bit of research on wikipedia i have concluded that the 'tick' is called the "radical"
Bonus point for you, m'boy.:2tsup: