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Scientific Notation
Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.
6,389 Questions
How do you divide and multiply in scientific notation?
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).
How do you convert -38600000 to scientific notation?
-38,600,000.
take the decimal place and move it to the left until you have only one number left of the decimal place... like this
-3.86
now count out how many times you move over the decimal place... you move it 7 times. multiply your number of -3.86 by 107
-3.86*107
How do you write 73.5 in scientific notation?
73.5 can be written in scientific notation as 7.35 x 10^1
How do you use scientific notation for 10.03?
Scientific notation takes one digit before the decimal point and uses multiples of 10 to represent the rest of the digits. In this case, scientific notation is not really practical.
The answer is 1.003 x 101
