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Mathematical Requirements for Psychology (Appendix A: AS Unit 2 and A2 Unit 4)

Arithmetic and Numerical Computation: standard form and significant figures

  • 4 things to know
  • AS Unit 2 and A2 Unit 4

Overview

Recall questions on standard form and significant figures.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Study

Which is the longer response time, 6.3 × 10⁻³ s or 8.1 × 10⁻⁴ s?

Key term

A results table gives category totals in standard form. Why are they usually converted to decimal form before a pie chart is constructed from them?

Key term

A reaction-time study records a mean latency of 0.0042 s. What is this in standard form?

Key term

A correlation coefficient is calculated as −0.71638. What is it to two significant figures, and to three?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    A reaction-time study records a mean latency of 0.0042 s. What is this in standard form?

    Model answer

    The mean latency is 4.2 × 10⁻³ s.

  2. 2

    A results table gives a participant's detection threshold as 3.5 × 10⁻² s. What is this in decimal form?

    Model answer

    The threshold is 0.035 s.

  3. 3

    A content analysis logged 1.25 × 10³ codable utterances. How many utterances is that in decimal form?

    Model answer

    It is 1250 utterances.

  4. 4

    A researcher screens 48 000 archived records in a secondary-data study. How is that number written in standard form?

    Model answer

    The researcher screens 4.8 × 10⁴ records.

  5. 5

    Which is the longer response time, 6.3 × 10⁻³ s or 8.1 × 10⁻⁴ s?

    Model answer

    6.3 × 10⁻³ s is longer, because it equals 0.0063 s whereas 8.1 × 10⁻⁴ s equals only 0.00081 s.

  6. 6

    State the rule a number must follow to be correctly written in standard form as a × 10ⁿ.

    Model answer

    The value of a must be at least 1 and less than 10, and n must be an integer, which may be positive, negative or zero.

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Psychology Past to Present — The Five Approaches
Contemporary Debates
Principles of Research and Application of Research Methods
Mathematical Requirements for Psychology (Appendix A: AS Unit 2 and A2 Unit 4)

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