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Name ___ Notes 3.3 Keller/RosenzweigScientific Notation1. What is scientific notation? Shorthand way to write numbers2. Why do we use it? Allows us to write numbers in a simpler form3. Why is it particularly
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How to fill out what is scientific notation

01
Read the given number in scientific notation form, which has the format: a × 10^n, where a is a decimal number between 1 and 10 (inclusive), and n is an integer.
02
Identify the value of a, which represents the significant figures or digits in the number.
03
Determine the value of n, which represents the power of 10. If n is positive, it means the decimal point needs to be moved to the right, and if n is negative, it means the decimal point needs to be moved to the left.
04
Write down the significant figures or digits of the number without any trailing zeros.
05
Insert the decimal point in its correct position based on the value of n.
06
Add any necessary zeros after the decimal point to maintain the correct number of significant figures.
07
If the number is already in scientific notation, you can skip steps 1-4 and proceed with adjusting the decimal point and zeros as needed.

Who needs what is scientific notation?

01
Scientists and researchers often use scientific notation to express very large or very small numbers encountered in their work.
02
Engineers and technicians also rely on scientific notation when dealing with measurements and calculations that involve a wide range of values.
03
Students studying subjects such as physics, chemistry, and astronomy need to understand scientific notation to comprehend and solve mathematical expressions and scientific concepts.
04
Anyone working with extremely large or small numbers in various fields, including finance, economics, and computer science, can benefit from knowing and using scientific notation.

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is formatted as a decimal number between 1 and 10 multiplied by a power of ten.
Individuals and businesses that need to report numerical data that may involve very large or very small values, especially in scientific or engineering contexts, are required to use scientific notation.
To fill out scientific notation, write the number as a product of a decimal number between 1 and 10 and a power of ten. For example, 4500 can be expressed as 4.5 x 10^3.
The purpose of scientific notation is to simplify the handling and computation of very large or very small numbers, making them easier to read and understand.
When using scientific notation, the reported information must include the significant digits, the decimal point position, and the exponent indicating the power of ten.
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