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Mathematical Requirements (Appendix C)

Arithmetic and Numerical Computation: Appropriate Units, Decimal and Standard Form

  • 3 things to know
  • All units

Overview

Recall questions on Appropriate Units, Decimal and Standard Form.

What you need to know

Answer each one before you reveal it.

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Key term

Why is concentration given in mol dm⁻³ rather than mol cm⁻³ in most biological work?

Numbers

Convert 0.02 mm to micrometres.

Key term

Convert 250 mm³ to cm³.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How many cubic millimetres are there in one cubic centimetre?

    Model answer

    There are 1000 mm³ in 1 cm³, because each of the three linear dimensions is ten times larger.

  2. 2

    Convert 250 mm³ to cm³.

    Model answer

    250 mm³ is 0.25 cm³.

  3. 3

    Convert 0.02 mm to micrometres.

    Model answer

    0.02 mm is 20 μm, since 1 mm contains 1000 μm.

  4. 4

    How are metres, micrometres and nanometres related?

    Model answer

    One metre contains 10⁶ μm, and one micrometre contains 1000 nm.

  5. 5

    Express 2.5 × 10⁻⁵ m in micrometres.

    Model answer

    It is 25 μm.

  6. 6

    How is the unit of a rate worked out?

    Model answer

    It is the unit of the quantity being measured divided by the unit of time, so a breathing rate is in breaths min⁻¹ and a transpiration rate might be in cm³ h⁻¹.

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