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Measurements

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**SI Units of Measure SI Unit Symbol Mass kg Length m Volume L Time sec**

Count mole Temperature Kelvin

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Reading Measurements Always read one place past the graduation markings. This value is called an estimated digit.

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Metric Conversions M . . k h D b d c m . . μ . . n . . P King Henry Died by drinking chocolate milk

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Scientific Notation

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Why do we use it? To work with LARGE numbers like: 602,000,000,000,000,000,000,000 To work with small numbers like: It’s easier (and less confusing) to put them in scientific notation

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**M x 10n What does it look like? “M” is a number between 1 and 9.9**

“M” CAN be a decimal (like 3.2) “n” is the number of decimal places moved

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**What do you mean… move the decimal???**

If “n” is positive = BIG number 3.0 x 104 “n” = 4 so you move the decimal 4 places to make the number BIG 30000.

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**decimal 4 places to make the number small .0003**

If “n” is negative = small number 3.0 x 10-4 “n” = -4 so you move the decimal 4 places to make the number small .0003

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**Let’s practice . . . 7,000 1) 7 x 103 = 6.8 x 106 = 3) 1.356 x 10-4 =**

6,800,000 .00742

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How about in reverse? Can you change a number like 50,000 into scientific notation?

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FIRST Place a decimal in the number that would make it between 1 and 9.9 In this case: 5.0

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**SECOND Look at the original number: Is it big or small???**

If it’s LARGER than 1 positive “n” If it’s SMALLER than 1negative “n”

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**LAST 5.0 x 104 How many places did you move the decimal point?**

this will be your “n” The decimal moved from: 5.0000 It moved 4 places, so the exponent is 4 5.0 x 104

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Let’s try these! 1) 6,800,000 2) 13,430,000 3) 6.8 x 106 1.343 x 107 3.459 x 10-2

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**Metric Conversions Ladder Method**

T. Trimpe

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**How many jumps does it take?**

Ladder Method 1 2 3 KILO 1000 Units HECTO 100 Units DEKA 10 Units DECI 0.1 Unit Meters Liters Grams CENTI 0.01 Unit MILLI Unit How do you use the “ladder” method? 1st – Determine your starting point and ending point. 2nd – Count the “jumps” to your ending point. 3rd – Move the decimal the same number of jumps in the same direction. 4 km = _________ m Starting Point Ending Point How many jumps does it take? 4. 1 __. 2 __. 3 __. = 4000 m

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**Conversion Practice Try these conversions using the ladder method.**

1000 mg = _______ g 1 L = _______ mL 160 cm = _______ mm 14 km = _______ m 109 g = _______ kg 250 m = _______ km Compare using <, >, or =. 56 cm m 7 g mg

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**Metric Conversion Challenge**

Write the correct abbreviation for each metric unit. 1) Kilogram _____ 4) Milliliter _____ 7) Kilometer _____ 2) Meter _____ 5) Millimeter _____ 8) Centimeter _____ 3) Gram _____ 6) Liter _____ 9) Milligram _____ Try these conversions, using the ladder method. 10) 2000 mg = _______ g 15) 5 L = _______ mL 20) 16 cm = _______ mm 11) 104 km = _______ m 16) 198 g = _______ kg 21) 2500 m = _______ km 12) 480 cm = _____ m 17) 75 mL = _____ L 22) 65 g = _____ mg 13) 5.6 kg = _____ g 18) 50 cm = _____ m 23) 6.3 cm = _____ mm 14) 8 mm = _____ cm 19) 5.6 m = _____ cm 24) 120 mg = _____ g

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**Compare using <, >, or =.**

25) 63 cm m 27) 5 g mg 29) 1,500 mL L 26) 536 cm dm 28) 43 mg g 30) 3.6 m cm

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