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Scientific Notation

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Scientific Notation - Page Text Content

S: Scientific Notation

FC: Scientific Notation

1: What is the largest number in the world? | Largest number is mathematically meaningless because any number added to 1 gives a bigger number. However the world's largest number with a name is 'Googolplexian'. | Googolplexian: 1 followed by a googolplex of zeros. | Googolplex: 1 followed by a googol of zeros. | Googol: 1 followed by 100 zeros. | It is physically impossible to represent the largest number in the standard notation!(i.e. 10,0000000..)

2: What are really small numbers? | The weight of one atomic mass unit (a.m.u) is 0.000000000000000000000...166kg (Number '166' preceded by a decimal point followed by 26 zeros.) | Very small number or infinitesimally small number refer to number that is much smaller in magnitude than the number 1. | Image Source: chemistry.about.com

3: INTRODUCTION TO SCIENTIFIC NOTATION | Scientific notation is a convenient and the shorthand way to express very large and/or very small numbers. Writing numbers in scientific notation allows these numbers to be expressed conveniently. In scientific notation, the number is represented as a product of two factors. The first factor is a number greater than 1 but less than 10. The second factor is a multiple of 10(or Powers of 10) | A number is expressed in scientific notation as c*10^n where c is a number between 1 and 10; and n is exponent written as superscript to 10. | Scientific notation is commonly used in calculators and by scientists, engineers and mathematicians.

4: POWERS OF TEN | Power of 10 is ten multiplied by itself a certain number of times. The powers of 10 can be positive or negative powers. The power is written as superscript to the base 10. 'Powers of 10' is a useful way to write large or small numbers. | Image Source:en.wikipedia.org

5: SAND RECKONER - DISCOVERY OF SCIENTIFIC NOTATION | Sand Reckoner is the work by a brilliant Greek inventor and mathematician, Archimedes in which he sets out to determine the number of grains of sand in the universe. Archimedes used his knowledge of mathematics to calculate this for King Gelon. Of course, Archimedes' universe was different from our universe, and he performed his computations with Greek letter numerals, since the modern number system and scientific notation had not yet been invented. For this he had to estimate the size of the universe and invent a method to represent extremely large numbers. | Image Source: amazon.com

6: *A myriad from Ancient Greek is technically the number ten thousand. | The largest number named by Archimedes was : | Archimedes devised a system of counting based on myriad. He proposed a number system using powers of a myriad* of myriads (100 million) and concluded that the number of grains of sand required to fill the universe would be 8 vigintillion, or 8*10^63 | Image Source: en.wikipedia.org

7: Image Source: smartsciencestudy.com

8: STANDARD NOTATION & SCIENTIFIC NOTATION | Standard notation is just a plain number without exponents. The number can be a whole number or with decimal points. | Scientific Notation can be converted to standard form and standard form can in turn be converted to scientific notation. | Image Source: boundless.com

9: HOW IS SCIENTIFIC NOTATION USED IN REAL WORLD? | Astronomy | Image Source: www.pinterest.com | In Astronomy, scientists use scientific notation to calculate large distances and large masses.

10: Economics | Image Source: commons.wikimedia.org | When dealing with large amounts of money and financial data, scientific notation is used.

11: Geology | Image Source: energy4me.org | Scientific notation is used by geologists to calculate the age of rocks.

12: Chemistry | Image Source: en.wikipedia.org | Chemistry deals with atoms, molecules which are very small particles and makes use of scientific notation to represent infinitesimally small numbers.

13: Environmental Science | Image Source : indico.skatelescope.org | Environmental Science uses scientific notation to deal with global population and resources.

14: These are some of the ways on how scientific notation is used in different areas. There are many more examples on how scientific notation is used in these areas and in different areas of sciences. Scientific notation has always been fairly systematic and is used all around the world. Most calculators and computer programs allows to present very large or small numbers. Since superscripted exponents cannot be conveniently displayed, the letter 'E' or 'e' is used to represent times ten raised to the power of and followed by the value of exponent. Discover the applications of scientific notation in these areas!

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  • By: Priya S.
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  • Title: Scientific Notation
  • This e-book is intended for 8th grade students to introduce the concept of scientific notation.
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  • Published: over 5 years ago