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18 July, 05:02

Solve the problems. Express your answers to the correct number of significant figures.

(2.08x103) (3.11x102) =

x105

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Answers (1)
  1. 18 July, 05:49
    0
    6.47 x 10⁵.

    Explanation:

    Rules for counting for multiplication or division:

    The results are reported to the fewest significant figures.

    (2.08 x 10³) has 3 significant figures. (3.11 x 10²) has 2 significant figures.

    So, the result should has 3 significant figures:

    (2.08 x 10³) (3.11 x 10²) = 6.4688 x 10⁵.

    To obtain the result with only 3 significant figures, we should use rules for rounding:

    • In a series of calculations, carry the extra digits through to the final result, then round.

    • If the digit to be removed:

    ✓ is less than 5, the preceding digit stays the same.

    For example, 1.33 rounds to 1.3.

    ✓ is equal to or greater than 5, the preceding digit is

    increased by 1. For example, 1.36 rounds to 1.4.

    So, the result will be 6.4688 x 10⁵ = 6.47 x 10⁵.
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