Scientific Notation

Standard Notation: 6,000,000,000,000,000,000,000,000

Scientific Notation: (6 x 1024)

Simply just 6 with 24 zeros

:)

Heehee

Answered by Alan Jayvee

Scientific notation is a way of representing numbers in the form

a*10b 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 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.

For example:

4.56*105 = 456000.

4.56*10-5 = 0.0000456

Scientific notation is in the form of a x 10^n, where 0

First, move the decimal point to make the number less than 10 but greater than 0. .0540→5.4.

Next, count how many decimal places you moved the decimal and in what direction. .0540→.540(1 place right)→5.4(2 places right). You moved it two places to the right.

Since you made the number larger, you must make the exponent smaller to compensate. And since you moved it 2 places, you will make the exponent -2. (n must be negative since you positively increased a).

So: .0540 = 5.4 x 10^-2