Little Johnny and Maths...

Little Johnny stopped by the corner grocery store and read the following list to the clerk:

10 pounds sugar at $1.25 a pound
4 pounds coffee at $1.50 a pound
2 pounds butter at $1.10 a pound
2 bars soap at $.83 each

"How much does that come to?" asked Little Johnny.

"Twenty-two dollars and thirty-six cents."

"If I gave you three ten dollar bills, how much change would I get?" said the boy.

"Seven dollars and sixty-four cents," stated the clerk who appeared to be irritated by all the questions.

Johnny said, as he disappeared through the door, "I don't want to buy the items...that's our arithmetic lesson for tomorrow, and I needed some help with it."

Fun with Mathematics

The Beauty of Maths
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