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Mathematics LibreTexts

23.1: C1.01 Overview

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    51733
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    Topic C. Communicating the Precision of Measured Numbers

    This topic includes

    Section 1. Reporting measurements

    Section 2. Rounding

    Section 3. Precision of a number, including the concept of significant digits

    Section 4. Identifying the interval of actual values for a rounded number.

    Objectives:

    1. Practice the usual rules for rounding.
    2. Round a number to a given precision.
    3. Determine the implied precision of a rounded number, giving it in words, or by a number, or by underlining the significant digits.
    4. Understand why we don’t do two sequential rounding operations on a number, but do all rounding in one step.
    5. Understand that rounding numbers ending in exactly half is sometimes done in a different way.
    6. On a number line, graph the interval of actual values which are consistent with a rounded value.
    7. Use interval notation to give the interval of actual values which are consistent with a rounded value.
    8. Use inequality notation to give the interval of actual values which are consistent with a rounded value.
    9. For a given rounded number, find the maximum error due to rounding and express it as a percentage of the rounded number.
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    • Mathematics for Modeling. Authored by: Mary Parker and Hunter Ellinger. License: CC BY: Attribution
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