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26 March, 00:41

The speed of light is now defined to be 2.99792458 10 m/s (a) Express the speed of light to three significant figures m/s (b) Express the speed of light to five significant figures m/s (c) Express the speed of light to seven significant figures

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  1. 26 March, 00:59
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    a) 3.00*10⁸ m/s

    b) 2.9979*10⁸ m/s

    c) 2.997925*10⁸ m/s

    Explanation:

    299792458 m/s is the speed of light

    Let us write this in scientific notation first

    2.99792458*10⁸ m/s

    a) In three significant figures

    We need to round the number to the hundredths place

    3.00*10⁸ m/s

    b) In five significant figures

    We need to round the number to the ten thousandths place

    2.9979*10⁸ m/s

    c) In seven significant figures

    We need to round the number to the millionths place

    2.997925*10⁸ m/s
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