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Algebra I
8.4 Scientific Notational ___
Date ___ Block ___Standard Notation
the decimal system
1,000,0001,530,0000.0009Scientific Notation
a shorthand way to write very large or very small numbers
A
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How to fill out standard form scientific notation
How to fill out standard form scientific notation
01
To fill out a standard form in scientific notation, follow these steps:
02
Identify the number you want to convert to scientific notation.
03
Determine if the number is greater than or equal to 10 or less than 1. If it is greater than or equal to 10, divide the number by 10 until it is between 1 and 10. If it is less than 1, multiply the number by 10 until it is between 1 and 10.
04
Count the number of times you had to divide or multiply the number by 10. This will be the exponent of 10 in the scientific notation.
05
Write the number between 1 and 10 as the coefficient, and add the exponent of 10 as a superscript next to it.
06
If the original number was negative, make sure to include the negative sign in the scientific notation.
07
Finally, you have successfully filled out the standard form in scientific notation.
Who needs standard form scientific notation?
01
Standard form scientific notation is used by scientists, mathematicians, and engineers to express very large or very small numbers in a more concise and standardized format.
02
It is ideal for representing measurements of astronomical distances, atomic sizes, population growth rates, and any other quantities that involve very large or very small values.
03
Standard form scientific notation allows for easier comparison and calculation of these numbers, as it eliminates the need to write out numerous zeros or floating decimal points.
04
It provides a convenient way to communicate and work with numbers that are outside the normal range of human comprehension or manual calculation.
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What is standard form scientific notation?
Standard form scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of ten.
Who is required to file standard form scientific notation?
Individuals or entities that need to report large numbers in a concise manner, often in scientific or mathematical contexts, are required to use standard form scientific notation.
How to fill out standard form scientific notation?
To fill out standard form scientific notation, identify the significant figures in your number, move the decimal point to obtain a number between 1 and 10, and count how many places you moved the decimal to determine the exponent of ten.
What is the purpose of standard form scientific notation?
The purpose of standard form scientific notation is to simplify the representation of very large or very small numbers, making them easier to read and work with.
What information must be reported on standard form scientific notation?
Numbers need to be reported in a format that includes a coefficient (between 1 and 10) and an exponent, encapsulated typically as 'a x 10^b'.
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