Move the decimal point to just after the first non-zero digit. The resulting number, a, will be the mantissa of the scientific notation.
While moving the decimal point (dp), count the number of places, n, that decimal point has moved and whether it is to the right or left. If the dp was moved to the left, the exponent is 10a whereas if it was to the right the exponent is 10-a.
Examples:
234.567
a = 2.34567, n = 2 (to the left) so 234.567 = 2.34567*102.
0.00234
a = 2.34, n = 3 to the right so 0.00234 = 2.34*10-3.
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.
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)
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 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.
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)
20,000 + 3,400,000
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.
Standard notation (in the UK) is the same as scientific notation. So the one rule to use is DO NOTHING!
0.72 in Scientific Notation = 7.2 x 10-1Scientific notation is always written in the form a x10b. When b is positive, it shifts the decimal point to the right and when it is negative, the decimal point shifts to the left (when converting back to decimal form). See the link below for a full explanation.
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 way of representing numbers, usually very large or very small, in the form a*10^b where 1 ≤ |a| < 10 is a decimal number and b is an integer (negative or positive). a is called the mantissa and b is called the exponent. To convert a number to scientific notation:If the number has no decimal point, then add one at the end.Then move the decimal point to just after the first non-zero digit while counting the number of places you have moved it.The mantissa of the new number, formed after moving the decimal point is a.If the original number is negative, then so is a.The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative.There is no sixth rule.
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.