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12 January, 22:08

The following masses are given in kilograms. Use metric prefixes on the gram to rewrite them so the numerical value is bigger than one but less than 1000. For example, 7*10^-4kg could be written as 70 cg or 700 mg.

(a) 3.8*10^-5kg

(b) 2.3*10^17kg

(c) 2.4*10^-11kg

(d) 8*10^15kg

(e) 4.2*10^-3kg.

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Answers (1)
  1. 12 January, 22:20
    0
    a) 38 mg

    b) 230 Exa-g

    c) 24 ng

    d) 8 Eg

    e) 4.2 g

    Step-by-step explanation:

    Given:

    a) 3.8*10⁻⁵ kg

    1 kg = 10⁶ mg

    Multiply the above value by 10⁶

    we get

    3.8*10⁻⁵ * 10⁶ = 38 mg

    b) 2.3 * 10¹⁷ kg

    or

    2.3 * 10²⁰ g

    1 exa = 10¹⁸

    multiply by 10⁻¹⁸

    we get

    230 Exa-g

    c) 2.4 * 10⁻¹¹ kg

    or

    24 * 10⁻⁹ g

    1 g = 10⁹ ng

    thus,

    24 * 10⁻⁹ g * 10⁹ = 24 ng

    d) 8*10¹⁵ kg

    or

    8 * 10¹⁸ g

    1 exa gram = 10¹⁸ g

    (8 * 10¹⁸) * 10⁻¹⁸ = 8 Eg

    e) 4.2 * 10⁻³ kg

    or

    4.2 * 10⁻³ * 10³ = 4.2 g
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