Scientific notation is normally used for numbers that are either far to large or far to small to be written conveniently in decimal notation.A,B
For example the Earth's mass is approximately: 5,973,600,000,000,000,000,000,000.0 kg
In scientific notation this would be written as:
5.9736 x 1024 kg.
In normalised scientific notation numbers are written in the form:A,B
a x 10n
Where:
a is a number between 1 and 10
n is a positive or negative whole number.
In normalized scientific notation all numbers are written in the form a x 10^b (a times ten raised to the power of b) where a is a nonzero single-digit integer and b is an integer.
953 in scientific notation is 9.53 x 10^2
Such small numbers aren't normally expressed in scientific notation but it is: 4.6332*104
Because sometimes numbers get very big or very small.
0034 in Scientific Notation = 0.034 x 103
0.077 in Scientific Notation = 7.7 x 10-2
One way to write this number in scientific notation is 2.72338x10-6.
Such numbers usually are not written in scientific notation but just for the exercise it is:- 1.095*102
Such small numbers aren't usually expressed in scientific notation but it is: 1.84*101
they express the numbers using scientific notation
It is: 33,400,000 or as 3.34*107 in scientific notation
Scientific notation doesn't stop at a centillion. 1 centillion in scientific notation is 1 * 10303, but you can also write 1 * 10304 or even 9 * 109999999 in scientific notation. There is no upper limit to the numbers you can write in scientific notation.
Write the mantissa as a negative number.
so they are smaller quicker and easier to write
It is: 6,550,000 or as 6.55*106 in scientific notation
It is: 17,000,000,000,000 or as 1.7*1013 in scientific notation
It is: 115,000,000,000,000 or as 1.15*1014 in scientific notation
It is: 12,000,000 or as 1.2*107 in scientific notation
It is: 2,600,000,000,000 or as 2.6*1012 in scientific notation