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Name Period Date: Scientific Notation and Standard Notation Convert the following numbers into scientific notation: 1) 0.02657) 3922) 530008) 0.003613) 3400!!!!!9) 0.0000234) 101000!!!!!10) 0.0105)
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How to fill out scientific notation and standard:

01
Convert the number to the form of a x 10^b, where a is a number between 1 and 10 (inclusive), and b is an integer that denotes the power of 10.
02
Write down the significant digits of the number and count the number of places the decimal point needs to be moved to achieve a value between 1 and 10.
03
Determine the sign of the exponent based on whether the original number is greater or less than 1.
04
Write down the number in scientific notation by placing the significant digits followed by the multiplication sign (×) and then 10 raised to the power of the exponent.

Who needs scientific notation and standard:

01
Scientists and engineers often use scientific notation to express very large or very small numbers encountered in their calculations. It allows for easier comprehension and representation of these quantities, as well as simplifies mathematical operations involving these numbers.
02
People working with astronomical data, such as astronomers and astrophysicists, frequently use scientific notation to express the vast distances, masses, and other measurements associated with celestial objects.
03
Financial professionals may use scientific notation to express huge values in the financial world, such as national debts, market shares, and company profits.
04
Students studying science, mathematics, or any field that deals with extensive calculations often learn and use scientific notation to effectively handle large or small quantities and improve understanding.
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Scientific notation is a way of expressing numbers that are too large or too small in a concise form using powers of ten. Standard notation refers to the common way of writing numbers without exponents.
Individuals or entities that need to report numerical data in a specific format in fields such as finance, science, or engineering may be required to file in scientific notation and standard, particularly when dealing with large datasets.
To fill out scientific notation, express the number as a product of a number between 1 and 10 and a power of ten. For standard notation, simply write the number in its complete form without modification.
The purpose of scientific notation is to simplify the representation of extremely large or small numbers, making calculations easier and clearer. Standard notation is used for more conventional and readable number presentations.
In scientific notation, the base number and exponent must be reported. In standard notation, the complete numerical value should be provided, ensuring clarity and accuracy in data presentation.
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