1) Move the decimal until your number appears to be between 1 and 10 count the spaces that you move the decimal.
2) use the number of spaces as the exponent of 10 (the base)
3) if the original number was greater than 10, the exponent is positive, if the original number was less than 1 then the exponent is negative.
EX: 250,000 becomes 2.5 x 105
but 0.0025 becomes 2.5 x 10-3
When multiplying, the indices of the two numbers are added together whereas for division they are subtracted. In either case, the result needs to be adjusted so that the mantissa is in the range [1, 10).
Suppose
p = a*10^x and
q = b*10^y are two numbers in scientific notation.
Then p*q = (a*b)*10^(x+y)
where, 1 <= |a|,|b| < 10 implies that 1 <= |a*b| < 100.
If a*b is greater than or equal to 10, let a*b = 10*c
then in scientific notation, p*q = c*10^(x+y+1).
Also p/q = (a/b)*10^(x-y)
where, 1 <= |a|,|b| < 10 implies that 0 < |a/b| <= 1.
If a/b is less than 1, let a/b = c/10
then in scientific notation, p/q = c*10^(x-y-1).
You simply add the exponents to multiply and subtract them to divide.
rules in changing/converting the decimal numerals to scientic notation and vice versa
Multiply the mantissas, add the exponents. Normalize the result, if desired.
If a*b < 10 then (a*10^x)*(b*10^y) = (a*b)*10^(x+y)If a*b > 10 then (a*10^x)*(b*10^y) = (a*b/10)*10^(x+y+1)
I could answer that in text on this page, but I think it would be far more convenient for both me and you to just go to this webpage mentioned in the link below.
Refer to the related links below.
yes
There is no true opposite of scientific notation, but the closest answer is Standard Notation.
You do not simply calculate scientific notation for nothing. You need a number for which you calculate the scientific notation.
It is simply 1.72*10^2 in scientific notation
It is: -5.034*10^2 in scientific notation
It is 3.356*10^14 in scientific notation
Add them
Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.
Multiplying each factor by powers of ten
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!
Yes, it does.
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?
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.
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
- 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.
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.................................