In converting numbers into scientific notation, first you should move the decimal point such that there would be one significant figure to the left of the decimal point.
Examples:
299792458 -> 2.99792458
0.0000000000667428 -> 6.67428
Then, count the number of times you moved the decimal point. Note the direction of movement.
Examples:
299792458 -> 2.99792458 (8 digits to the left)
0.0000000000667428 -> 6.67428 (11 digits to the right)
Lastly, express the number as a product of the modulus (the number with the decimal point moved) and a power of ten.
Examples:
299792458 -> 2.99792458 x 108 (If the decimal point was moved to the left, the power is positive)
0.0000000000667428 -> 6.67428 x 10-11 (If the decimal point was moved to the right, the power is negative)
In scientific notation all numbers are written in the form: a*10b where a is a decimal number such that 1 ≤ a < 10 and b is an integer.
Scientific notation is of little use for long mathematical expressions. It is used to express very large or very small numbers - not expressions.
20,000 + 3,400,000
Standard notation (in the UK) is the same as scientific notation. So the one rule to use is DO NOTHING!
I don't know what you mean "how to write the rules." In the US, "standard" notation means "long form", i.e. 6,000,000, while "scientific" notation means the exponential form, 6x106. I had thought it was the same in the UK, but Mehtamatics says otherwise: "Standard notation and scientific notation are the same in terms of UK usage of these phrases."
to convert scientific notation to decimal you count the number of spaces up to the last digit then put the decimal point then put x10 to the power of if how many places you move the decimal point.................................
In scientific notation all numbers are written in the form: a*10b where a is a decimal number such that 1 ≤ a < 10 and b is an integer.
- when adding or subtracting in scientific notation, you must express the numbers as the same power of 10. This will often involve changing the decimal place of the coefficient.
Scientific notation is of little use for long mathematical expressions. It is used to express very large or very small numbers - not expressions.
20,000 + 3,400,000
Standard notation (in the UK) is the same as scientific notation. So the one rule to use is DO NOTHING!
I don't know what you mean "how to write the rules." In the US, "standard" notation means "long form", i.e. 6,000,000, while "scientific" notation means the exponential form, 6x106. I had thought it was the same in the UK, but Mehtamatics says otherwise: "Standard notation and scientific notation are the same in terms of UK usage of these phrases."
pakita muna ng pekpek mo?
Scientific notation is a useful way of dealing with very large and very small numbers. It allows them to be presented in a form where their magnitude can be seen more easily. Also it can simplify calculations by allowing you to concentrate on the significant digits rather than the orders of magnitude which are very easily dealt with. This latter advantage has somewhat diminished with the widespread availability of calculators and computers. But previously people used log tables and slide rules for multiplication and division. These calculating devices depended on thinking of numbers in their scientific notation.
1 With addition change the scientific notation back to 'normal numbers' and then add accordingly 2 With subtraction change the scientific back to 'normal numbers' and then subtract accordingly 3 With division subtract the exponents and divide the decimals 4 With multiplication add the exponents and multiply the decimals 5 Note that if changes occur below 1 or greater than 9 in the decimal element of the scientific notation then appropriate adjustments must be made
If it is unambiguous and can be recognized by a computer it's probably OK. For very large or very small numbers the format is normally n.nnnnn x 10m in the form n.nnnnnEm or similar. All integers have to be written out exactly.
The easiest way to convert is using scientific notation. For example, 0.025A is equal to 2.5 * 10^-2. Since 1 MA is equal to 1 * 10^6 and you're converting up, subtract the larger notation and you end up with 2.5 * 10^-8. Converting from scientific notation back to decimal form means moving the decimal point over the same number of times as the power of 10, so you'd have .25 preceded by 7 zeros (we already moved it over one), or .000000025 MA. Most people prefer to use the scientific notation because its easier to work with once you learn the rules of powers, and there is more room for error when you are counting zeros.