Algrebra 1

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What are the practical uses of scientific notation? Why is scientific notation so important in modern-day society?

  • Algrebra 1 -

    Fields of study range from the atomic scale to interstellar distances and planetary masses, light waves to sound waves, national economies, etc.

    These involve extreemely large and small numbers, which get very cumbersome without scientific notation.

  • Algrebra 1 -

    awesome thank you so much...! :)

  • Algrebra 1 -

    Scientific notation, also sometimes known as standard form or as exponential notation, is a way of writing numbers that accommodates values too large or small to be conveniently written or comprehended in standard decimal notation. Scientific notation has a number of useful properties and is often favored by scientists, mathematicians and engineers, who work with such numbers.

    Essentially, it's more practical to write large numbers in this way because it saves time

    Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?
    We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).
    Here are some examples of scientific notation.

    10000 = 1 x 104 24327 = 2.4327 x 104
    1000 = 1 x 103 7354 = 7.354 x 103
    100 = 1 x 102 482 = 4.82 x 102
    10 = 1 x 101 89 = 8.9 x 101 (not usually done)
    1 = 100
    1/10 = 0.1 = 1 x 10-1 0.32 = 3.2 x 10-1 (not usually done)
    1/100 = 0.01 = 1 x 10-2 0.053 = 5.3 x 10-2
    1/1000 = 0.001 = 1 x 10-3 0.0078 = 7.8 x 10-3
    1/10000 = 0.0001 = 1 x 10-4 0.00044 = 4.4 x 10-4

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