Dear blog readers. Posting this "rerun" of information on numbers I may have posted previously is partially a vehicle for my saying that I beefed up the John Lennon compilation of last October, with three more songs on disc one, including two more from the BBC broadcasts, one rather long track on disc two (the 1966 Beatles Christmas message to their fans, which is very Lenonesque) and look for an additional track early on disc three. Look under Soap Opera of Life under the posting "Portrate of a scitzophrenic". This is being typed about 11:00 AM Sunday the 29th.

The expression "The whole nine yards cfomes not from football, but apparently from WW II and they had nine yards of amunition supplies that they were delivering to the troops.

In the whole numbers and math thing, there are certain key things you need to know. Every number can be divided on what single digit number they add up to, like eleven is a "two" for instance. Every time I refer to a class of numbers it's what the numerals add up to.

Two other key facts on numbers are the "progression of timsing by two". The progression of numbers is 1, 2, 4, 8,7, 5, and then 1 again, and so forth. The other key number progression, also of the same six numbers is decimal places of one seventh. 1, 4, 2, 8, 5, 7. What is key here is that you tak find the decimal for 2 sevenths by starting with the two, and then start with each next higher value number for 3 , 4, 5, and 6 sevenths. So the next number is 4 for .428571 for three sevenths, for instance.

You can multiply by 2 by always moving one digit to the right, for instance all ones will be twos, and all eights will be "seven" numbers. For multiplying by 5 you move the progression the other way, and that is going back one number. For timsing by 4 you merely advance two, and for seven you go back two, 9ie. to the left) like for timsing by 25 for instance. For division you reverse the provess where dividing by 5 is the same as multiplying by 2 and visa versa. The only time you ever get into trouble here is when you try to divide by 7 and get a never ending chain of decimal numbers.

Any number times a "1" number is a "1" number like 19 x 19 is 361 if my math is correct. 361 is a "one" number if you add the numerals.
a 7 times a 7 is a 4 as in 4 x 4 = 16
a 4 times a 4 is a 7 as in 7 x 7 = 49
a 7 times a 4 is a 1 as in 7 x 4 = 28

For threes, they have different rules.

a 3 plus a 3 is always a 6
a 6 plus a 6 is always a 3
a 6 plus a 3 is always a 9
9 numbers act like zero in that any number times a 9 number is always a 9 number
a 3 times a 6 is a 9 number, of course.
any 3 or 6 number is always divisable by 3

this wont work for other numbers like 2 because you can't divide 11 by 2.

a 7 times a 3 is always a 3
a 7 times a 6 is always a 6

any 3 times a 1, a 4, or a 7 is always a 3
any 3 times a 2, a 8, or a 5 is always a 6

for six it's reversed.
any 6 times a 1, 4, or 7 is always a 6
any 6 times a 2, 5, or 8 is always a 3

5 x 6 is 30. 6 times 13 is 78 adding up to a 6

a one times a one is a one for instance 19 x 19 is 361 I believe, or a 1

The whole 111 x 111 thing is explainable because when you multiply the ones form those indented rows moved to the left and the one in the middle has 3 ones for instance so that numeral is a 3

with 888 there is a property of adding eights getting decling numerals. The products of 8 times numbers like 1, 2, 3, 4, etcetra would be 8, 7, 5, 5 for instance.

I think some of this stuff is taught in foreign countries math