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Understanding and Converting Metric Measurements

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This guide helps in choosing the appropriate metric units for various measurements. It emphasizes the importance of selecting the right unit for different quantities, such as liters for liquids, meters for length, and kilograms for mass. The document also explains the process of converting between metric units, including practical examples like converting centiliters to liters and grams to milligrams. Additionally, it illustrates how to compare weights effectively by converting between units, ensuring clarity in measurements.

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Understanding and Converting Metric Measurements

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  1. Notes 40 Metric Measurements

  2. Additional Example 1: Choosing the Appropriate Metric Unit Choose the most appropriate metric unit for each measurement. Justify your answer. A. The amount of water a runner drinks eachday Liters—The amount of water a runner drinks each day is similar to the amount of water in a large water bottle. B. The length of a boat Meters—The length of a boat is similar to the length of several doorways. C. The mass of a car Kilograms—The mass of a car is similar to the mass of several hundred textbooks.

  3. Check It Out: Example 1 Choose the most appropriate metric unit for each measurement. Justify your answer. A. The amount of liquid in 10 teardrops B. The mass of a pencil eraser C. The length of 15 soccer fields

  4. Reading Math Prefixes: Milli- means “thousandth” Centi- means “hundredth” Kilo- means “thousand” To convert metric units, multiply or divide by a power of 10. Multiply to convert to a smaller unit and divide to convert to a larger unit.

  5. Additional Example 2A: Converting Metric Units Convert the measure. 530 cL to liters 100 cL = 1L, so divide by 100. 530 cL = (530 ÷ 100) L Move the decimal point 2 places left: 530. = 5.3 L

  6. Additional Example 2B: Converting Metric Units Convert the measure. 1,070 g to milligrams 1 g = 1000 mg, so multiply by 1000. 1,070 g = (1070  1000) mg Move the decimal point 3 places right: 1,070,000. = 1,070,000 mg

  7. Check It Out: Example 2A Convert the measure. 980 dm to meters

  8. Check It Out: Example 2B Convert the measure. 580 g to centigrams

  9. Additional Example 3: Using Unit Conversion t to Make ComparisonsElizabeth purchases one pumpkin that weighs 3 kg and another that weighs 2,150 g. Which pumpkin weighs more? Use estimation to explain why your answer makes sense. You can convert the mass of Elizabeth’s pumpkin to grams. 1 kg = 1000 g, so multiply by 1,000. 3 kg = (3  1,000) g Move the decimal point 3 places right: 3.000. = 3,000 g 2,150 g is about 2 kg. Since 2 kg < 3 kg, Elizabeth’s 3 kg pumpkin weighs more.

  10. Check It Out: Additional Example 3 Tyesha purchases a bag of potatoes that weighs 2.5 kg and another bag that weighs 3,850 g. Which bag weighs more? Use estimation to explain why your answer makes sense.

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