# USD Scientific Notation For Writing Very Large Numbers

1168 words - 5 pages

Lab 1 - CONVERSION BETWEEN SCIENTIFIC AND DECIMAL NOTATION

This Virtual Astronomy Laboratory Unit presents an introduction to scientific notation for writing the very large numbers which are frequently encountered in astronomy. The first two exercises illustrate the mathematics of arithmetic using scientific notation, and the last two use numbers in scientific notation in examples which focus on the vastness of space and the time it would take to complete a journey to a heavenly object.

Converting Numbers between Decimal and Scientific Notations Numbers which are very large or very small are inconvenient to write in decimal notation. Instead, scientific notation is commonly used, where the number is written as a power of 10 in the form of a mantissa and an exponent:

m x 10e

where the mantissa (m) is a decimal number between 1. 0 and 9. 999. .. ., and the exponent (e) is an integer. To write numbers using scientific notation, move the decimal point until only one digit appears to the left of the decimal point. Count the number of places the decimal point was moved and use that number as the exponent. Numbers greater than 1 have a positive exponent, numbers less than 1 have a negative exponent.

EXAMPLES
38, 000, 000 is written as 3. 8 x 107. 280. 6 is written as 2. 806 x 102. 0. 0000000506 is written as 5. 06 x 10-8.

EXERCISE
Select Converting Numbers from the list of exercises. In the window which opens up you can choose to have the computer: a. generate a number in scientific format for you to convert to decimal format b. generate a number in decimal format for you to convert to scientific format c. generate numbers in a random format for you to convert to the other format Enter your answer using the numbers keys on the keyboard. If you are entering a number in scientific format, typing an x or an e will change from the mantissa to the exponent. If you make a mistake press the back arrow key (3) to erase the last digit in the number.
Arithmetic in Scientific Notation Multiplication and division in scientific notation follow two simple rules:
When multiplying two numbers, multiply the mantissas and add the exponents. When dividing two numbers, divide the mantissa of the numerator by that of the denominator, and subtract the exponent of the denominator from that of the numerator. EXAMPLES (3. 2x104)x(2. 6x109)=(3. 2x2. 6)x10(4+9) =8. 32x1013 (7. 9x106)(5. 4x1014)=(7. 95. 4)x10(6-14) =1. 46x10-8 (3. 1 x 1015) (8. 54 x 10-14) = (3. 1 8. 54) x 10(15-(-14)) = 0. 531 x 1029 = 5. 31 x 1028 EXERCISESelect Arithmetic in Scientific Notation from the list of exercises. In the window which opens up you can choose to have the computer:
a. generate a multiplication problem b. generat...

## A Description Of An Abandoned Factory Near My House. Great For Creative Writing Classes. Very Descriptive

387 words - 2 pages Free ... it is all but empty.From this spot I can see everything. The roofs of seven abandoned buildings create an industrial skyline from where I sit. A bulldozer stands where a building once did. The sun is beginning to set and the windows of the buildings are giving off a powerful glare. The sky is a mix of oranges and reds, straight out of a Van Gogh painting. The purple clouds are motionless and seem to be waiting for the sun to set, so they can go ...

## International Exchange Rates. "the Gold Standard"

1322 words - 6 pages ... made at different times or during a different time zone.Another positive aspect would be flexibility for anyone with a home computer and internet because a person may go online and pull up a screen and see live actual numbers and transactions taking place at the Forex. As stated by Miliaresis, "Another advantage of the Forex market is that big brokerage firms and investment banks are less likely to influence the market." (Miliaresis, 2005 ...

## Performing Vocal Music Of The Renaissance - University Of Mississippi - Introduction To Music Research (graduate Level) - Research Paper

2309 words - 10 pages ... Culpepper 2 Richard Culpepper 8 December 2016 Dr. Thomas Peattie Final Research Paper Performing Vocal Music of the Renaissance Music has existed for thousands of years, if not longer. The earliest musical notation known to date is from a cuneiform tablet created ca. 2000 BC, found in modern day Iraq in the 1960s.[footnoteRef:1] The oldest known musical instruments are even older than that. At an age of ca. 40,000 years old, four carved-bone ...

## Monocytes And Macrophages With The Stucture Of Atoms - Tati Fifi - Bio App

1279 words - 6 pages ... electron configuration of oxygen? Draw the energy level diagram for oxygen. Notice that oxygen has unpaired electrons. This means that oxygen is paramagnetic, and will interact with magnetic fields. 11. Write out the electron configurations for Ne, Na and Al: You may have noticed that a lot of the electron configuration is repetitive. Every atom has 1s electrons. Comparing Ne, Na and Al shows that they are very similar up to the configuration ...

## Compare And Contrast The Chinese And Australian Financial Markets

2209 words - 9 pages ... land labour, capital and enterprise in order to make an economic profit. In the diagram below the 4 factors have been linked together. Australia's land has a bountiful amount of natural resources for production as it is the world's leading producer of rutile, zircon, bauxite, iron ore and ilmenite(ref. 17), this is why land is Australia's comparative advantage. Australia's human input into the production process is very minimal due to its low ...

## The Influence Of Early Gregorian Plainchant On Liturgical Music - Music History II - Research Paper

2297 words - 10 pages ... the liturgy. The new options and availability for creativity allowed the composers to take liberties and create music that fit the harmonies that they enjoyed. With the allowance for more creativity and personality through multi-part choral music, composers from outside the church also began to start writing choral music. Choral compositions are a large part of music in the world both today and in history. Music in today’s society is very ...

## Can Physicalism Account For Qualia?

3467 words - 14 pages ... may be exactly those contested by physicalists. We can now discuss whether or not physicalism can account for qualia. It should be noted that this is a question of the possibility of compatibility, not a question asking if there is, at present, a theory which successfully combines the two. That question is uninteresting as the answer is clearly the negative: there is no complete scientific theory of consciousness, if such a thing is possible. As ...

## Reference Trajectory Tracking For A Multi-dof Robot Arm - Archives Of Control Sciences - Research Paper

4333 words - 18 pages ... redundant robot. The present work is concerned with the inverse kinematics solution for a seven- DOF redundant manipulator. The trajectory planning of robot arms is a very active area since many tasks require special characteristics to be satisfied. Using of MS Excel and MS VBA (Visual Basic for Applications) software, the application for reference signal generation has been developed. It allows to determine arbitrary reference trajectory and to ...

## Discuss Idiographic And Nomethetic Approach In Psychology - Psychology - Essay

1011 words - 5 pages ... to predict and control any likely future behaviour. The approach is associated with methods that would be regarded as scientific within psychology such as experiments, which would include large numbers of participants in order to establish ways in which people are similar or different. The humanistic approach in psychology is a key example of the idiographic perspective. Rogers and Maslow, took a phenomalogical and subjective approach in the study ...

## Marketing Metrics And Pricing Decision - S.p.jain School Of Global Management - Assignment Part 1

1769 words - 8 pages ... determined Annual cost for conventional pads: number of sets required x time required for change x cost per set = 20 x 20 x 150= 60,000 USD Since one set has 24 pads, each will be charged at \$6.25 Annual cost for CMI pads: number of sets required x time required for change x cost per set 60,000 = 6 x 4 x Pviu Pviu = 2500 USD Since each set has 6 pads, the maximum cost of one pad can be (2500/6) = \$416 This means that at a premium of 69x this product ...

## Assessment And Reporting Policy - Year 11 - Assessment

4409 words - 18 pages ... college or · receiving a U (Unfinished) notation instead of a grade/mark. If the reason for non-completion/submission is acceptable to the college the student can complete other work in the future to allow the college to assign a grade/mark. Note: A ‘U’ notation can be converted to a grade. Completing the Assessment Program In each course a number of assessment tasks occur during the semester/year, including in most cases end of semester exams. Some ...

## Scientific Theories: This Essay Describes The Findings Between David Keeling And Gilbert Plass. - Earth Science - Essay

499 words - 2 pages ... ! 1 SCIENTIFIC THEORIES Scientific Theories SCIENTIFIC THEORIES !2 Scientific Theories Every person has there own idea of viewing or interpreting certain things. Whether that be political, religious, or scientific we are each given an opportunity to choose. In particular, Charles Darwin and Charles keeling had very unique ways of discovering truth. In the mid 1950’s, two researchers began studying carbon dioxide levels in the atmosphere. David ...

## Team Building In Project Management - Project Management , Team And Stakeholder Management - Essay

2285 words - 10 pages ... district and a global hub is a prime residential choice for international clients. 2.1 Project Scope To design and build a mid-rise luxury housing project by acquiring two parcels of land in the prime location of the central business district. The total land of 10,000 sqmtrs or 9.3 hectares had to be acquired in 6 months within a budget of 42 million USD. The project was split into two phases, with phase one to design, approved and built in 2 ...