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Scientific notation is a way of representing numbers, usually very large or very small, in the form
a*10^bwhere 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 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.
For example:
23045.06 becomes 2.304506*10^4
-23045.06 becomes -2.304506*10^4
0.00023004 becomes 2.3004*10^-4
To convert a number in scientific notation to normal form:
· If b is positive, move the decimal point b places to the right in the number a - adding 0s at the end of the number, if required.
· If b is negative, move the decimal point b places to the left in the number a - adding 0s immediately after the decimal point, if required.
· The final expression has the same sign (+ or -) as a in the scientific form.
For example:
4.56*10^5 = 456000.
-4.56*10^5 = -456000.
4.56*10^-5 = 0.0000456
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