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Converting Metric Units

Converting Metric Units. Metric Unit Conversion Table. The metric system is a base-ten system . Metric prefixes are associated with decimal place values. To convert units…. To convert between metric units n decimal places apart, multiply or divide as follows. Multiply by 10 n

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Converting Metric Units

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  1. Converting Metric Units

  2. Metric Unit Conversion Table • The metric system is a base-ten system. Metric prefixes are associated with decimal place values.

  3. To convert units… • To convert between metric units n decimal places apart, multiply or divide as follows. Multiply by 10n larger unit smaller unit Divide by 10n

  4. Example 1: Converting Metric Units of Length • The height of a chain-link fence is 137 centimeters. How many meters tall is the fence? Solution: You are converting from a smaller unit (centimeters) to a larger unit (meters), so divide by a power of ten.

  5. Example 1 Continued: . From centimeters to meters, the decimal point is moved 2 places to the left, so divide by 102, or 100.

  6. Example 1 Continued: 137 / 100 = 1.37 137 centimeters = 1.37 meters Answer: The fence is 1.37meters tall.

  7. Example 2: Converting Units of Mass and Capacity • Copy and Complete the statement. • 4,620g = _____kg Solution: To convert from grams to kilograms, divide by 1,000. 4620 / 1,000 = 4.62, so 4,620g = 4.62kg.

  8. Example 2 Continued: • Copy and complete the statement. • 27 L = ____mL Solution: To convert from liters to milliliters, multiply by 1,000. 27 x 1,000 = 27,000, so 27 L = 27,000 mL

  9. Your turn now. • Copy and complete the statement. • 5600 m = ______km • 68 m = _______mm • 275 cm = _______m • 382 mm = _______cm • 500 g = _______kg • 1.75 kL = _______L 5.6 68,000 2.75 38.2 0.5 1,750

  10. Example 3: Comparing Metric Measures • Copy and complete the statement using <,>, or =. a. 650cm ____ 6m To compare two measurements that have different units, convert the measures so that both have the same units!!

  11. Example 3 Continued: • 650cm _____ 6m 650cm _____600cm 650cm _____600cm Answer: 650cm ____ 6m Strategy: Convert meters to centimeters. 6 x 100 = 600, so 6m = 600cm. Compare… > >

  12. Example 3 Continued: • 1.6kg ____ 1,525g 1,600g ____ 1,525g 1,600g ____ 1,525g Answer: 1.6kg ____ 1,525g Strategy: Convert kilograms to grams. 1.6 x 1,000 = 1,600, So 1.6kg = 1,600g. Compare. > >

  13. Your turn now. Copy and complete the statement using <, >, or =. • 6.8kg ____ 6,725L • 2.1g ____ 2,100mg • 7.3mm ____ 73cm > = <

  14. Example 4: Using Metric Units of Length Garden Beds Hank is planting a garden in his yard that is 8.5 meters long. Suppose the garden in divided into smaller beds that each measure 212.5 centimeters in length. How many small garden beds would there be?

  15. Example 4 Continued: Solution: • Convert 8.5 meters to centimeters by multiplying by 100. 8.5 x 100 = 850, so 8.5m = 850cm. • To find the number of gardens, divide the total length of the garden by the length of each section. 850cm / 212.5cm = 4 Answer: The garden would be divided into 4 smaller beds.

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