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Measuring Length

Measuring Length. Section 7.1. Objectives. Recognize and use appropriate units of length from the English and metric measuring systems Convert units of length Unit fractions within the same system Unit fractions between systems Moving the decimal point in the metric system

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Measuring Length

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  1. Measuring Length Section 7.1

  2. Objectives • Recognize and use appropriate units of length from the English and metric measuring systems • Convert units of length • Unit fractions within the same system • Unit fractions between systems • Moving the decimal point in the metric system • Perform operations on measurements

  3. Objective 1:Recognize and use appropriate units of length from the English and metric measuring systems

  4. Objective 1 • Unit of measure – name of a quantity that is used as a standard • English system • Metric system

  5. Objective 2a:Convert units of length - Unit fractions within the same system

  6. Objective 2a • Equivalent measurements – measures of same amount but using different units • Fraction with one unit as numerator and other as denominator is equivalent to 1 (Unit fraction) • Unit fraction converts measurement with one unit to measurement with another unit • Measurement x Unit fraction = Converted measurement • May need to multiply by more than 1 unit fraction to get to final units

  7. Objective 2a • To convert units of length • Multiply by unit fraction that has desired units in numerator and original units in denominator • Simplify

  8. Objective 2b:Convert units of length - Unit fractions between systems

  9. Objective 2b • Use system to system equivalents to write unit fraction • Same method as converting within same system

  10. Objective 2c:Convert units of length - Moving the decimal point in the metric system

  11. Objective 2c • Metric system based on powers of 10 • Shortcut for metric-to-metric conversions • Multiply or divide by powers of 10

  12. Kilometer (km) = 1000 m Hectometer (hm) = 100 m Dekameter (dam) = 10 m Meter (m) = 1 m Decimeter (dm) = 0.1 meter Centimeter (cm) = 0.01 meter Millimeter (mm) = 0.001 meter Objective 2c

  13. Objective 2c • To convert units within the metric system • Move decimal point same number of places as number of unit changes

  14. Objective 3:Perform operations on measurements

  15. Objective 3 • To multiply or divide a measurement by a number • Multiply or divide numbers and write unit of measure • To add or subtract measurements • If units of measure are unlike, convert to like measures • Add or subtract numbers and write unit of measure

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