Orders of Magnitude Expression and Powers
An order of magnitude is an exponential change of plus-or-minus 1 in the value of a quantity or unit.
N = a x 10b
Where:
N = order of magnitude of a number
a = integer a
b = order of magnitude of the number
Mathematical Power | Name |
---|---|
1018 or 1,000,000,000,000,000,000 | one quintillion |
1015 or 1,000,000,000,000,000 | one quadrillion |
1012 or 1,000,000,000,000 | one trillion |
109 or 1,000,000,000 | one billion |
106 or 1,000,000 | one million |
103 or 1,000 | one thousand |
102 or 100 | one hundred |
101 or 10 | ten |
100 or 1 | one |
10-1 or 0.1 | one-tenth |
10-2 or 0.01 | one-hundredth |
10-3 or 0.001 | one-thousandth |
10-6 or 0.000 001 | one-millionth |
10-9 or 0.000 000 001 | one-billionth |
10-12 or 0.000 000 000 001 | one-trillionth |
10-15 or 0.000 000 000 000 001 | one-quadrillionth |
10-18 or 0.000 000 000 000 000 001 | one-quintillionth |