Beauty of Maths

Early Learning Teaching Your Child Math
1

Did you know that?

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

lol

2

Another one

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

:slight_smile:

3

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?

4

Now 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

:laugh:

5

Brilliant, I’ve only seen the last one before! :slight_smile:

6

Dear Rima,

That is sooo cool! I am math-challenged because here in America, they teach you only ONE method to solve problems and it is the longest method. I began to enjoy simple math equations in my head after my husband explained some simple tricks that he learned.

Being a visual learner - the equations you posted are very interesting to me. :slight_smile:

  • Ayesha
7

Would you share your tricks, Ayesha?

8

Dear Nikolett & Everyone,

Little tricks like what are mentioned in this blog:

http://wildaboutmath.com/2007/11/11/impress-your-friends-with-mental-math-tricks/

I wish I had learned these in school.

  • Ayesha
9

That is cool. I learned some tricks but not like that.

This is mine: when you multiply 11 by a two digit number eg. 12 you take the two digits add them together (to get 3) then put that number in the middle of the first two (132)…simple huh. :smiley:

11 x 10 = 120
11 x 11 = 121
11 x 12 = 132
11 x 13 = 143
11 x 14 = 154
11 x 15 = 165
11 x 16 = 176, etc…

10

Thanks Rima for the beautiful equations - they make me want to embrace something I’ve always if not feared, at least been uncomfortable with.

And Ayesha for the link - if I’m going to raise myself a quantum physicist, I’m going to need all the help I can get…
:biggrin:

11

i LOVE maths… in school I am the only one doing math… but its only cos I honestly enjoy doing math and it is not as difficult for me as its for my classmates… but i have one problem, I cant teach it! I just see sums and understand it but its hard to explain, there are times i dont need to do the work but can just get the answer… i dont know how or why or where I developed it!
but one thing, I hated calculators in school to do simple maths!

The simple 9 times is easy too

9 x 1 = 09
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
9 x 9 = 81
9 x 10 = 90

12

Thanks, Ayesha, k
Just to think about it, I am a math and physics teacher by education and knew less than third of those :mad: I think doing equations “straightforward” way was overemphasized with us :blush:

13

Here is a comprehensive web page including more than 600 Math Tips & Tricks.

http://mathforum.org/k12/mathtips/beatcalc.html

Hope you’ll enjoy

Rima
lol

14

I am more than enjoying, I am thrilled, bookmarked it, followed some links and will play 21 game with my kids tomorrow!
k again :biggrin:

15

That’s right Nikolett. I even teach Physics and Math too in college for a year.
I studied Engineering for 5 years. Why do I only know 2 of those 6 sets of equations posted? lol lol

16

Squaring a 2-digit number: XY

1- The last digit (units column): The Last digit of squaring the 2nd digit (Y), Keep the carry1 for step 2.

2- Next digit (tens column) : The last digit of multiplying the 1st digit (X) by the units of (2 x 2nd digit (Y)) and adding the carry1 in step 1, Keep carry2 for step 3.

3- First digit(s):
a- If Y is less than 5, Square the 1st digit (X) and add carry2.
b- If Y is greater or equal to 5, Multiply the 1st digit (X) by (X+1) and add carry2.

Hope it is not too confusing.

:slight_smile:
Rima

17

Dear Rima,

Huh? :blink: Can you show an example for the visual learners please?

  • Ayesha
18

Dear Ayesha & Everyone,

Here are two examples for squaring a 2 digits number:

Example 1: XY = 64

  1. Y Square is 16, so the last digit is 6, and I carry 1.
  2. 2 times Y is 8, The result times X, 8x6 = 48, The result 48 +1 (carried in step 1) = 49, so the 2nd digit is 9, and I carry 4.
  3. X square is 36, the result 36 + 4 (carried in step 2) = 40, and these are the 1st digits.
    Square(XY)=4096

Example 2: XY= 97

  1. Y Square is 49, so the last digit is 9, and I carry 4.
  2. 2 times Y is 14, The result last digit, 4, times X, 4x9 = 36, The result 36 +4 (carried in step 1) = 40, so the 2nd digit is 0, and I carry 4.
  3. Y is greater than 5, so X times X+1, 9x10 = 90 , the result 90 + 4 (carried in step 2) = 94, and these are the 1st digits.
    Square(97)=9409

Isn’t it easy !!!

:slight_smile:
Rima

19

Dear Rima,

Uhhh - perhaps it is easy for others to read and understand these instructions. :nowink: However, for me, I have to see each step on a blackboard to comprehend it. :wacko:

Thanks anyways.

  • Ayesha :slight_smile:
20

I can understand the instructions,
just isn’t it simpler to multiply to numbers and get traditional square (XYxXY =) ? :blush: Maybe with practice it saves time…