Scientific Notation

Move 3 decimal places right from the starting point. Therefore, 0.002378 in Scientific Notation is 2.378 x 10-3

9 x 10^-2

.0000000001

Yes a percent can be written in scientific notation. In fact, a percentage is already almost scientific notation. % means x10-2 So 7% is 7x10-2

For double digit percentages you would need to divide the number by 10, and take away one from the power. So 25% is 2.5x10-3

For any other numbers, you can convert the percentage to a decimal by dividing it by 100. So 584.6% is 5.846. Once you have the decimal you can convert it to scientific notation the standard way.

0.16 in scientific notation is 1.6x10-1

0.00475 in Scientific Notation = 4.75 x 10-3

8.2 x 10-4.

1 x 1010

8.005*10 to the ninth

Significant figures is a way of trying to convey how accurately something is being measured. A very accurate scale may measure .001 grams, a bathroom scale may be only accurate to within 2 lbs.

Exponential notation has nothing to do with measurement. It is just a choice on how to write a number, usually for some mathematical application. 243 = 35 this is exponential 'notation'. Scientific notation is a certain type of exponential notation in which the base must be 10. 243 = 2.43 x 102 that is scientific notation.

It could be 3^3*5^3.

0.0058 = 5.8 x 10^-3

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 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 bis negative. For example: 23045.06 becomes 2.304506*10^4 -23045.06 becomes -2.304506*10^4 0.00023004 becomes 2.3004*10^-4

10^-2

At standard temperature and pressure it is approx 1.3*10-3 grams per mL.

An advantage of using the scientific notation is that scientists have to use large and small numbers and this helps them by showing the number in a smaller way.

.1x10100

When dividing a smaller number into a larger number, subtract the exponents.

8 x 10^5 divided by 4 x 10^2 = 2 x 10^3

Steps in scientific notation

1. Identify the location of the decimal point.

2. Move the decimal point, stop moving after 1st none zero digit, stop moving the non zero digit,

3. Identify the multiplying factor

4. Identify the exponent

1.23x10-5 in scientific notation is 1.23 x 10-5

This equates to 0.0000123 in standard notation.

3.4*108

4.5834e-3mm or 4.5834 x 10^-3 mm

Scientific notation is a useful way of dealing with very large and very small numbers. It allows them to be presented in a form where their magnitude can be seen more easily. Also it can simplify calculations by allowing you to concentrate on the significant digits rather than the orders of magnitude which are very easily dealt with. This latter advantage has somewhat diminished with the widespread availability of calculators and computers. But previously people used log tables and slide rules for multiplication and division. These calculating devices depended on thinking of numbers in their scientific notation.

3540 in Scientific Notation = 3.54 x 103