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## Measuring Length

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**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 • Perform operations on measurements**Objective 1:Recognize and use appropriate units of length**from the English and metric measuring systems**Objective 1**• Unit of measure – name of a quantity that is used as a standard • English system • Metric system**Objective 2a:Convert units of length - Unit fractions within**the same system**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**Objective 2a**• To convert units of length • Multiply by unit fraction that has desired units in numerator and original units in denominator • Simplify**Objective 2b:Convert units of length - Unit fractions**between systems**Objective 2b**• Use system to system equivalents to write unit fraction • Same method as converting within same system**Objective 2c:Convert units of length - Moving the decimal**point in the metric system**Objective 2c**• Metric system based on powers of 10 • Shortcut for metric-to-metric conversions • Multiply or divide by powers of 10**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**Objective 2c**• To convert units within the metric system • Move decimal point same number of places as number of unit changes**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