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Mastering Measurement Conversions for Practical Applications

This chapter delves into the art of converting measurements, from simple conversions such as pennies to dollars to more complex ones involving units like kilometers and centimeters. Learn the decimal point rule, conversion factors, and dimensional analysis to effortlessly switch between metric and English units. Practice converting distances like 655 mm to meters, 142 km to meters, and 754,000 cm to kilometers to hone your skills. Whether it's converting yards to meters or inches to millimeters, this guide will equip you with the tools needed for precise measurements.

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Mastering Measurement Conversions for Practical Applications

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  1. MEASUREMENT 1.3

  2. Chapter One: Measurement • 1.1 Measurements • 1.2 Time and Distance • 1.3 Converting Measurements • 1.4 Working with Measurements

  3. Section 1.3 Learning Goals • Write conversion factors. • Apply the decimal point rule to convert between metric quantities. • Use dimensional analysis to convert English and SI measurements.

  4. 1.3 Converting units • To convert 1,565 pennies to the dollar amount, you divide 1,565 by 100 (since there are 100 pennies in a dollar). • Converting SI units is just as easy as converting pennies to dollars.

  5. Solving Problems • Convert 655 mm to m • Looking for: • …the distance in meters • Given: • …distance = 655 millimeters • Relationships: • Ex. There are 1000 millimeters in 1 meter • Solution: 655 mm = .655 meters

  6. Solving Problems Convert 142 km to m • Looking for: • …the distance in meters • Given: • …distance = 142 kilometers • Relationships: • Ex. There are ? meters in 1 kilometer? • Solution: • Use the conversion tool.

  7. Solving Problems Convert 754,000 cm to km • Looking for: • …the distance in kilometers • Given: • …distance = 754,000 centimeters • Relationships: • Ex. There are ? cm in 1 m? • There are ? m in 1 km? • Solution: • Use the conversion tool.

  8. 1.3 Converting units • A conversion factor is a ratio that has the value of one. • This method of converting units is called dimensional analysis. • To do the conversion you multiply 4.5 feet by a conversion factor.

  9. Solving Problems Convert 4.5 ft to cm • Looking for: • You are asked for the distance in cm • Given: • You are given the distance in ft. • Relationships: • Ex. There are ? cm in 1 ft? 30.48 cm = 1 ft • Solution: • Make a conversion factor from equivalent

  10. 1.3 Converting units • Use the correct conversion factor to convert: • 175 yds. to m. • 2.50 in. to mm.

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