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Write the following statement in standard form. a) The density of aluminium is 2710 kgm⁻³ b) Poisson's ratio for gold is 0.44 c) The impedance of free space is 376.73

Physics

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Step-by-step solution

9 steps

Here are the statements written in standard form:

Part a· 3 steps

The density of aluminium is 2710 kgm⁻³

  1. Identify the number to convert.

    The number is 2710.

  2. Move the decimal point to get a number between 1 and 10.

    Move the decimal point 3 places to the left: 2.710.

  3. Determine the power of 10.

    Since the decimal point was moved 3 places to the left, the power of 10 is 3.
    The density of aluminium is ∗2.710×103 kgm−3\boxed*{2.710 \times 10^3 \text{ kgm}^{-3}}.

Part b· 3 steps

Poisson's ratio for gold is 0.44

  1. Identify the number to convert.

    The number is 0.44.

  2. Move the decimal point to get a number between 1 and 10.

    Move the decimal point 1 place to the right: 4.4.

  3. Determine the power of 10.

    Since the decimal point was moved 1 place to the right, the power of 10 is −1-1.
    Poisson's ratio for gold is ∗4.4×10−1\boxed*{4.4 \times 10^{-1}}.

Part c· 3 steps

The impedance of free space is 376.73

  1. Identify the number to convert.

    The number is 376.73.

  2. Move the decimal point to get a number between 1 and 10.

    Move the decimal point 2 places to the left: 3.7673.

  3. Determine the power of 10.

    Since the decimal point was moved 2 places to the left, the power of 10 is 2.
    The impedance of free space is ∗3.7673×102\boxed*{3.7673 \times 10^2}.

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