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Powers of Ten

- Positive Exponents
- Negative Exponents
- Multiplication In Powers Of Ten Form
- Division In Powers Of Ten Form
- Combined Multiplication And Division In Powers Of

Ten - Scientific Notation

Powers of Ten (cont.)

- Problems With Complex Denominators Or Numerators
- Reciprocals
- Powers And Roots In Base Ten

Positive Exponents

- Large or small numbers can be handled easily by

using a system of notation called powers of ten. - The powers of ten refers to the exponents of ten.

This exponent is the number of times ten is

multiplied by itself. For example 10 x 10 x 10 x

10 104. The four is the exponent of ten. - Exponents determine the number of places the

decimal point is moved from the present decimal

point toward the new decimal point. - If no number is given with the power of ten,

insert 1. An example is 103 1. x 103 1000. - 4.56 x 103 4560. Notice the decimal point moved

to right with a positive exponent. - To convert from a powers of ten to a number,

simply write 1 and follow it by the number of 0's

in the exponent if the exponent is a positive

number.

Negative Exponents

- Numbers less than 0 are dealt with by using

negative exponents. - Negative exponents determine the number of places

the decimal point is moved from the present

decimal point towards the left to the new decimal

point. - An example of this is 10-3 0.001.
- Also 78.9 x 10-4 .00789

Multiplication In Powers Of Ten Form

- Multiplication of terms with powers of 10 is

simply a matter of adding the powers. - 105 x 103 108

Division In Powers Of Ten Form

- Division of numbers containing powers of ten

involves subtraction of the exponents. - 103/102 101

Combined Multiplication And Division In Powers Of

Ten

- This process is one of adding or subtracting the

powers of ten as required. - The powers of ten are added or subtracted using

the same rules as adding or subtracting signed

numbers. - To move a power of ten from a denominator to a

numerator, simply change the sign of the

exponent. 1/103 10-3. The opposite change is

also true.

Scientific Notation

- A very convenient method of expressing the

numbers we use in electronics is the use of

scientific notation. - Scientific notion is the placing of a decimal

point after the MSD and adding a power of ten. - The exponent of the power of ten will be the

number of places the decimal point is moved. - In the original number, count the number of

decimal places the decimal point moves left. This

is the positive value of the exponent. - Move the decimal point to the right and the

exponent is negative.

Problems With Complex Denominators Or Numerators

- If your problem has a complex denominator or

numerator, the fraction line says that everything

in the numerator is surrounded by imaginary

parentheses and must be done first. - Likewise everything in the denominator has a pair

of parentheses and must be combined before the

division takes place. This is also the clue on

how to do this with your calculator.

Reciprocals

- A reciprocal of a number is one divided by that

number. - A reciprocal of a fraction (like 2/3) is that

fraction flipped over (3/2). - Most calculators have a separate key to give you

the reciprocal of any number in its display.

Powers And Roots In Base Ten

- To raise a power of ten to a power simply

multiply the exponents. - To find the square root of a number, raise that

number to the 1/2 power.

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For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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