34,005,267 = (3 x 107) + (4 x 106) + (0 x 105) + (0 x 104) + (5 x 103) + (2 x 102) + (6 x 101) + (7 x 100)
0,000,004.3 in Scientific Notation = 4.3E-06 x 106
they express the numbers using scientific notation
Expanded Notation of 1,294 = (1 x 103) + (2 x 102) + (9 x 101) + (4 x 100)
Only if the numbers to be converted into scientific notation are the same otherwise the exponents can vary according to the size the numbers.
299,792,458 ms in Scientific Notation = 2.99792458 x 108 ms
0.384 in expanded notation using exponential notation is: (0 x 10^0) + (3/10^1) + (8/10^2) + (4/10^3)
419,854,000
Expanded Notation of 80 = (8 x 101) + (0 x 100).
The exponent indicates how many spaces to move the decimal point to the right (+) or to the left (-) when expanded.
200,000 in Scientific Notation = 2 x 105
Anyone can use scientific notation - including women!
Using scientific notation reduces the need to write out very large or very small numbers as the following examples show:- 1,000,000,000,000 = 1.0*1012 in scientific notation 0.0000000001 = 1.0*10-10 in scientific notation
The point of using scientific notation is to compute very large or very small numbers.
0.0000072 in Scientific Notation = 7.2 x 10-6
375,000 in Scientific Notation = 3.75 x 105
4000 in scientific notation is 4 x 103
Writing large or very small numbers in scientific notation helps prevent simple mistakes. For example, in physics or chemistry, the number of basic particles in one mole of a substance is Avogadro's number, which is 602214129000000000000000 or 6.02214129*1023 in scientific notation. In the expanded form it would be quite easy to miscount the number of zeros.