When is a billion not a billion?
Did you know that the American system for naming large numbers is not the same as the British system? What we call a billion, they call a thousand million. And what they call a billion, we call a trillion! And it continues from there. After a million, we do not agree on any of the names for large numbers. The chart below summarizes the differences.
Number
Power of 10
American
Name
British
Name
1,000
103 thousand thousand
1,000,000
106 million million
1,000,000,000
109 billion thousand million
1,000,000,000,000
1012 trillion billion
1,000,000,000,000,000
1015 quadrillion thousand billion
1,000,000,000,000,000,000
1018 quintillion trillion
As you can see, Americans name their numbers based on powers of 10 that are multiples of 3, while the British name theirs based on multiples of 6.
The implicit curve equation(x2+y2-1)3-x2y3=0 produces the heart shape.
The sum of the digits of a number which is a multiple of 9 is always 9, i 45 : 4+5 = 9 1980 : 1+9+8+0=18 : 1+8 = 9
214164 : 2+1+4+1+6+4=18 : 1+8 = 9
142857 is a cyclic number, i.e., its digits are rotated around when multiplied by any number from 1 to 6. Like this: 142857 × 1 = 142857 142857 × 5 = 7 14285 142857 × 4 = 57 1428 142857 × 6 = 857 142 142857 × 2 = 2857 14 142857 × 3 = 42857 1
MATHEMATICS :
Mathematics is the abstract study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.
Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics