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
Expanded Notation of 1,294 = (1 x 103) + (2 x 102) + (9 x 101) + (4 x 100)
they express the numbers using scientific notation
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)
The exponent indicates how many spaces to move the decimal point to the right (+) or to the left (-) when expanded.
419,854,000
Expanded Notation of 80 = (8 x 101) + (0 x 100).
Anyone can use scientific notation - including women!
200,000 in Scientific Notation = 2 x 105
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.
4000 in scientific notation is 4 x 103
0.0000072 in Scientific Notation = 7.2 x 10-6
375,000 in Scientific Notation = 3.75 x 105
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.