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8 November, 20:08

State how many significant figures are proper in the results of the following calculations: (a) (106.7) (98.2) / (46.210) (1.01) (b) (18.7) 2 (c) (1.60*10-19) (3712).

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  1. 8 November, 23:12
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    (a) The result is 3 significant figures

    (b) The result is 3 significant figures

    (c) The result is 3 significant figures

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - Significant figures are the number of digits in a value

    - There are 3 rules to find how many significant figures are in a number

    1. All non-zero digits are significant.

    - Ex: 1234.56 is six significant figures

    2. Any zeros between two significant digits are significant

    - Ex: 2.03 is three significant figures

    - A final zero or zeros between two significant digits in the decimal

    numbers ONLY are significant

    - Ex: 0.056 is two significant figures, 12.04 is four significant figures,

    5.60 is three significant figures

    * Lets solve the problem

    (a) (106.7) (98.2) / (46.210) (1.01)

    ∵ 106.7 is 4 significant figures

    ∵ 98.2 is 3 significant figures

    ∵ 46.210 is 5 significant figures

    ∵ 1.01 is 3 significant figures

    ∵ The smallest number of the significant figures is 3

    ∴ The result is limited by 3 significant figures

    ∴ The result is 3 significant figures

    (b) (18.7) ²

    ∵ 18.7 is 3 significant figures

    ∴ The result is limited by 3 significant figures

    ∴ The result is 3 significant figures#

    (c) (1.60 * 10^-19) (3712)

    - Remember: When a number is written in scientific notation, only

    significant figures are the numerical part only

    ∵ 1.60 * 10^-19 is 3 significant figures

    ∵ 3712 is 4 significant figures

    ∵ The smallest number of the significant figures is 3

    ∴ The result is limited by 3 significant figures

    ∴ The result is 3 significant figures
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