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Physical Quantities, Scalars and Vectors

Prefixes and standard form

  • 3 things to know
  • Unit AS 1

Overview

Writing a number in standard form, multiplying factors represented by the prefixes T, G and M and multiplying factors represented by the prefixes k, c and m.

What you need to know

Answer each one before you reveal it.

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Key term

What is meant by writing a number in standard form?

Key term

State the multiplying factors represented by the prefixes T, G and M.

Key term

State the multiplying factors represented by the prefixes k, c and m.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by writing a number in standard form?

    Model answer

    A number in standard form is written as a × 10ⁿ, where a lies between 1 and 10 and n is a whole number.

  2. 2

    State the multiplying factors represented by the prefixes T, G and M.

    Model answer

    Tera (T) means × 10¹², giga (G) means × 10⁹ and mega (M) means × 10⁶.

  3. 3

    State the multiplying factors represented by the prefixes k, c and m.

    Model answer

    Kilo (k) means × 10³, centi (c) means × 10⁻² and milli (m) means × 10⁻³.

  4. 4

    State the multiplying factors represented by the prefixes µ, n, p and f.

    Model answer

    Micro (µ) means × 10⁻⁶, nano (n) means × 10⁻⁹, pico (p) means × 10⁻¹² and femto (f) means × 10⁻¹⁵.

  5. 5

    Why is it a serious error to write mV when MV is meant?

    Model answer

    Case carries meaning in a unit symbol, so mV is a millivolt of 10⁻³ V while MV is a megavolt of 10⁶ V, a difference of a factor of 10⁹.

  6. 6

    Express a capacitance of 4.7 nF in farads in standard form.

    Model answer

    Since nano means × 10⁻⁹, the capacitance is 4.7 × 10⁻⁹ F.

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