Showing posts with label Scientific. Show all posts
Showing posts with label Scientific. Show all posts

Thursday, January 5, 2012

College Algebra: Convert Decimal & Scientific Notn

www.mindbites.com Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found atwww.thinkwell.com The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America". Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences ...

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Sunday, January 1, 2012

Converting to Scientific Notation - YourTeacher.com - Math Help

For a complete lesson on converting to scientific notation, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to convert a number from standard notation to scientific notation by first writing a decimal point in the number so that there is only one digit to the left of the decimal point. For example, to write 642000 in scientific notation, first write the number so that there is only one digit to the left of the decimal point, which in this case is 6.42000. Next, count the number of places that the decimal point must be moved to get back to the original number, which in this case is 5 places. This number will be the exponent on the power of 10. So 642000 can be written in scientific notation as 6.42 x 10^5. Note that the exponent is positive, because the original number is a whole number. If the original number were a decimal, the exponent would be negative. For example, 0.059 written in standard form is 5.9 x 10^(-2).

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Tuesday, November 22, 2011

Convert Large Numbers in a Smaller One Using Scientific Notation Calculator

!±8± Convert Large Numbers in a Smaller One Using Scientific Notation Calculator

Scientific notation is a style of writing or representing numbers that pamper values that are too large or too small to be conveniently written in standard decimal notation. It has large number of useful properties and is mostly used in calculators and by mathematicians, doctors, engineers, and scientists.

Do you remember how we represent speed of light? Speed of light is given as 300,000,000 m/sec and we write it in scientific notation as 3 *108 m/sec. Scientific notation are developed by scientists to write the large values in small form. Scientific notation is based on powers of the base number 10.

The first number 3 is called as the coefficient and value of coefficient must be greater than or equal to 1 and less than 10. The second value is called as the base and it must be 10 when we deal with scientific notation. We always write the base number 10 in exponent form. In the case of speed of light, the number 3 * 108, the 8 is referred as the exponent or power of 10. When we use scientific nations then it makes complex calculation easy. Do you know that a Scientific Notation Calculator is developed to help students in solving the scientific problems. When you use this calculator you will easily convert the large number in smaller form. You will definitely enjoy solving scientific notation using this calculator.

After this let's study another math topic, statistics. It is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments. In many articles I have explained you about online math help that you can use to solve math problems. Similarly, you can also solve your statistics problems with online statistics help.

To understand statistics in efficient way we need to understand few terms which we will use frequently in solving statistics problems. The very first term is "average". We all are intimated with this word from early age. In this, we add all the quantities and divide it by its number. Statistically average means Mean. Other term is Median; it is the "middle value" in given list. When the number of items present in the list is odd then median is the middle entry after sorting the list in increasing order. When the numbers are even then Median is equal to the sum of middle two entries divided by two. The last one is "Mode", it is defined as item or number that is occurring most frequently in the list. It is important to note that in a list there can be more then one mode, as more than one number can occur frequently. Sometimes we will ask to find the "range", it is simply the difference between the largest number and the smallest number of the list.

Linear inequalities is the inequality that contains linear function. We get an inequality equation when two numbers are connected by greater than or less than symbol. linear inequality is given as f(x) < b or f(x)

Convert Large Numbers in a Smaller One Using Scientific Notation Calculator

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Monday, November 21, 2011

Using a Scientific Calculator In Mathematics Exams

!±8± Using a Scientific Calculator In Mathematics Exams

With exams approaching this is a short article with reminders and advice for anyone about to take a mathematics exam and who will need to use a scientific calculator.The most common calculator problems are:

- setting up the calculator in the right mode

- not being able to find the calculator manual!

- remembering to change calculator modes

- rounding and inaccurate answers

Why Use a Scientific Calculator?

Scientific calculators all use the same order for carrying out mathematical operations. This order is not necessarily the same as just reading a calculation from left to right. The rules for carrying out mathematical calculations specify the priority and so the order in which a calculation should be done - scientific calculators follow the same order. This order is sometimes abbreviated by terms such as BODMAS and BIDMAS to help students remember the order of doing calculations.

1st. Brackets (all calculations within a bracket are done first)

2nd. Operations (eg squaring, cubing, square rooting, sin, cos, tan )

3rd. Division and Multiplication

4th. Addition and Subtraction

Being aware of this order is necessary in order to use a scientific calculator properly. This order should always be used in all mathematical calculations whether using a calculator or not.

Scientific Calculator Check

There are two types of scientific calculator, the most recent type being algebraic scientific calculators. Algebraic scientific calculators allow users to type in calculations in the order in which they have been written down. Older scientific calculators need users to press the mathematical operation key after they have entered the number.

For example to find the square root of nine (with an answer of three) press: [button]

Algebraic scientific calculator: [SQUARE ROOT] [9] [=]

Non algebraic scientific calculator: [9] [SQUARE ROOT] [=]

Both these types of scientific calculator are fine for exams, but make sure you know how to use your own type.

If you are not sure whether you have a scientific calculator or not, type in:

[4] [+] [3] [x] [2] [=]

If you get an answer of 14, then you have a left to right non-scientific calculator.

If you get an answer of 10, then you have a scientific calculator as it has worked out the multiplication part first.

Lost Calculator Manuals

Calculator manuals tend to get lost very easily or you can never find them as an exam is approaching. A frequent request is what can you do if you have lost your calculator's manual? If it is a relatively new model then you can download a copy from the manufacturer's web site. If it is an old Sharp or old Casio calculator manual then you can still find these on the internet. Even with search engines, finding these manuals can take some time - the following link has information about new and old calculator manuals for Casio, Sharp, Hewlett-Packard and Texas Instruments: here.

Calculator Mode

Now that you have your calculator manual you can set your calculator to the correct settings. The standard settings are usually:

COMPUTATIONAL:

(use MODE button - choose normal not stat) NOT: SD or REG

DEGREES:

(use MODE or DRG button) NOT: RAD OR GRAD

NORMAL:

(use MODE or SETUP and arrow keys) NOT: FIX, SCI, ENG

Many calculators have a reset button on the back that can be pressed in using a pen or paper clip if you want the original factory settings.

The most common mistake is to leave your calculator in a previous mode and FORGETTING TO CHANGE IT BACK AGAIN ! (We've all done it, just try to avoid doing it in the exam !)

Common Calculator Mistakes

(a) Pressing the DRG button by mistake and not doing trigonometry questions in DEGREES mode. (If you are doing more advanced work then forgetting to change out of DEGREES mode !).

(b) Borrowing an unfamiliar calculator or getting a new calculator too close to the exam and not being familiar with the keys and how to change modes.

(c) Forgetting to write down and check work. Any exam with a calculator should have a warning on it! It is essential to write down the calculations that you're doing so that you can get method marks. You should also try and double check all calculations in case of pressing a wrong button.

(d) Rounding before the end of a calculation. Store calculations in the memory and use all the decimal places during calculations. If you use a rounded value too soon then you will lose accuracy.

(e) Forgetting to use brackets on division calculations (e.g. when dividing by ALL the bottom part of fraction).

Many calculators are now very powerful and have amazing computational power. Some of the programmable calculators are mini computers. Although they will all calculate 100% accurately every time, unfortunately they are only as good and as accurate as their operator!

It is often the case that candidates perform better without a calculator as it is very easy to make simple mistakes when using one. If you can do so, it certainly helps to have an idea of the rough size of the answer, so that you can see if an answer is sensible or not. It is also a good idea to repeat all calculations just in case you have made a key press error.


Using a Scientific Calculator In Mathematics Exams

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