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Comparing Very Large and Very Small Numbers

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Comparing Very Large and Very Small Numbers:

Before comparing very large or small numbers, We convert them to their standard exponential form and then divide them.

  • If two numbers in standard form have the same power of 10, then the number with the larger factor is greater.
    For example, 8.72 × 1024 < 9.4326 × 1024.

  • If two numbers in standard form have the same factor, then the number with the larger power of 10 will be greater.
    For example, 8.72 × 108 > 8.72 × 104.

  • If two numbers in standard form have different factors and the different power of 10, then the number with the higher power of ten (i.e., the larger exponent) is the larger number.
    For example, 8.72 × 1024 > 9.4326 × 1023.

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