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Cells, Viruses and Reproduction of Living Things

Significant figures, estimates and mathematical symbols

  • 3 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on giving biological calculations to an appropriate number of significant figures, standard form, estimating a result to check a calculation, spotting an implausible cell size, and the symbols <, <<, >> and ~.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Process

Why should a calculated cell size not be given to more significant figures than the raw data?

Process

How can estimating a result help when carrying out a biological calculation?

Process

A student calculates the diameter of a human red blood cell from a micrograph as 750 µm. Why should the answer be recognised as wrong?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    To how many significant figures should the result of a biological calculation be given?

    Model answer

    To no more significant figures than the least precise (fewest significant figures) measurement used in the calculation.

  2. 2

    Why should a calculated cell size not be given to more significant figures than the raw data?

    Model answer

    Extra figures would claim a precision that the measurements do not have, because a result can only be as precise as the least precise measurement used.

  3. 3

    A mitochondrion is recorded as 0.00340 mm long. How many significant figures does the value have?

    Model answer

    Three; the leading zeros only fix the decimal point and are not significant, but the final zero after the 4 is significant.

  4. 4

    A cell diameter is recorded as 0.020 mm. Write the value in standard form, keeping the correct number of significant figures.

    Model answer

    2.0 × 10⁻² mm; the final zero is significant, so the value has two significant figures and must not be written as 2 × 10⁻² mm.

  5. 5

    An eyepiece graticule is calibrated at 2.4 µm per division, and a cell spans 37 divisions. Calculate the length of the cell to an appropriate number of significant figures.

    Model answer

    Length = 2.4 × 37 = 88.8 µm, which is 89 µm to two significant figures, matching the calibration value.

  6. 6

    A drawing of a guard cell is 48 mm long, and the actual cell is 0.042 mm long. Calculate the magnification to an appropriate number of significant figures.

    Model answer

    Magnification = 48 ÷ 0.042 = 1142.9, which is ×1100 to two significant figures.

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Biological Molecules
Cells, Viruses and Reproduction of Living Things
Classification and Biodiversity
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ALag phase shows no increase.
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Oxidation means loss of electrons or hydrogen.
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