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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)

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Q: Rules of converting numbers to scientific notation?
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Related questions

Rules in adding or subtracting scientific notation?

When adding or subtracting numbers in scientific notation, ensure that the exponents are the same. If the exponents are not the same, adjust one or both numbers to match. Then, add or subtract the coefficients while keeping the exponent the same. Finally, simplify the result if necessary by converting it back to proper scientific notation.


What are the rules writing of scientific notation?

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.


Rules in converting scientific notation to decimal notation?

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.................................


What are the rules when expressing a long mathematical expression to scientific notation form?

Scientific notation is of little use for long mathematical expressions. It is used to express very large or very small numbers - not expressions.


What is the scientific notation plus and - rules?

20,000 + 3,400,000


What rules do we use to convert standard to scientific notation?

Standard notation (in the UK) is the same as scientific notation. So the one rule to use is DO NOTHING!


How to write the rules in writing standard notation to scientific notation?

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."


Rules of scientific notation?

pakita muna ng pekpek mo?


Are Scientific notation is a way of making numbers scientific?

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.


What are the rules of adding subtracting dividing and multiplying written in 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


What are the rules of for writing numbers in scientific notation?

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.


How do you subtract numbers in scientific notation rules?

First, you have to line up the decimal places by converting the smaller number to the same exponent as the larger number. Then you can subtract them in the obvious way. For example, 3.78 x 105 - 4.61 x 103 = 3.78 x 105 - 0.0461 x 105 = 3.7339 x 105, because 4.61 x 103 = 0.461 x 104 = 0.0461 x 105.