Skip to main content

The Beauty of Mathematics

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

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

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

Brilliant, isn't it? 
And finally, take a look at this symmetry.

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321


Taken from here.

Comments

Post a Comment

Hey don't leave! Leave your comment here please! Thanks! :D

Popular posts from this blog

Penning Down Thoughts

I never had the habit of journaling, and it was never my thing. You see, I had a hard time polishing my language skills. Having grown up and educated in a Chinese primary school and surrounded by Chinese-speaking community at least two third of my life, I had the tendency to speak and think in Chinese. English was out of my realm of mastery. Mandarin Chinese is my mother tongue after all. Ironically I have been widely misunderstood as being a 'banana' - a Chinese who only speaks English.  It seems I do have a 'banana' look. I have been told that I speak and write English better than my Chinese sentences, which the latter often seems to be awkward and to some extent, trying too hard. Can't really blame me right? I have not been consistently writing Chinese for the past 10 years. But this is blatantly deceiving! My English proficiency has not always been acceptable. Reading back my blog posts even just 5 years ago brought myself to embarrassment. In short, I d

What Owning a Turbocharged Car has Taught me

If there is a single word that can sum up what owning a turbocharged car for the past one and a half year has taught me, it will be this — humility . I have quite a number of people telling me my car is cool, fast and what not. But instead of getting all boasted up, I can't help but to be humble at my slow car. Slow car? You wondered. For a hot hatch making well above 234 horses on the wheel with 270Nm torque, this Neo turbo boosting 1-bar (14.5 psi) is producing more than double a stock Neo CPS is making. This is certainly not a slow car by any conventional family car standard. But with this comes a hefty price, in terms of time and money. The maintenance cost is not cheap, as it is the case with any other turbocharged car. Turbocharged vehicles are more prone to component failures just simply by the fact that there are a lot more things that can fail within the complex system, as compared to a much simpler naturally aspirated mode.  I have educated myself with how a

2 Weeks Experiences in The New Class! =)

Listening to: The more I seek You - Kari Jobe It's been two weeks since I joined the new class! Most, if not all, of my new classmates are quite friendly to me, gratefully! Thank God for that! Within the first few days I've recognised and remembered most of my classmates' names! =p Okay to be frank, I was trying to memorise. That's why I could remember their names fast, and blend into their group easily? =) How? Facebook does the trick! Adding someone into your friend list in Facebook will definitely improve your ability to remember names. Well it works for me, at least! =p Okay why am I keep writing posts about PE1? I don't know, just want to share my thoughts with everyone, how I spend my time in the new class and so on. During break time I tend to hang out with a group of new friends, and a large portion of them were from Catholic High School, PJ. Haha I was supposed to go there, but I didn't. My younger sister did, anyway. Most of them tend