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Metrics and Significant Figures Activity. First we will examine the metric system then use significant figures to make measurements and do calculations. The Metric System . Mass is measured in grams Length or distance is measured in meters Volume or capacity is measured in liters
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Metrics and Significant Figures Activity First we will examine the metric system then use significant figures to make measurements and do calculations
The Metric System • Mass is measured in grams • Length or distance is measured in meters • Volume or capacity is measured in liters • Time is measured in seconds • Energy is measured in Joules • Temperature is measured in Kelvin (not degrees) • Quantity is measured in moles
The Liter (L) • A liter is slightly smaller than a quart • A gallon is roughly 4 times larger than a liter
The Meter (m) • The meter is slightly longer than a yard • 1 inch = 2.54 cm (this is the only English to metric conversion you must know
Gram (g) • A gram’s mass is approximately the mass of 2 paperclips. • Many medicines are massed by their active ingredients in grams or parts of a gram.
Which is larger? Meter or yard Mile or Kilometer Gallon or liter Pound or gram Quart or liter Centimeter or inch Gram or ounce What is the abbreviation for each unit? Meter = _____ Gram = _____ Liter = ______ Second = ______ Joule = _______ Mole = _______ English to Metric Comparisons
The BASE units for the metric system are gram, liter, meter, second, Kelvin, Joule and mole. There are larger and smaller portions of each of these Their abbreviations come in front of the unit’s abbreviation (ex. Centimeter = cm) Metric Abbreviations
Larger 1 billion = GIGA (G) 1 million = MEGA (M) 1,000 = kilo (k) 100 = hecto (h) 10 = deca (D, dk, or da) Smaller 1trillion = pico (p) 1 billion = nano (n) 1 million = micro (m) 1,000 = milli (m) 100 = centi (c ) 10 = deci (d) Larger and Smaller Prefixes
Cm = ________ mg = ________ ML = ________ Gg = ________ ms = ________ km = _______ mL = _______ kJ = ________ mm= _______ Dg = _______ Centimeter Milligram Megaliter Gigagram Microsecond Kilometer Milliliter Kilojoule Millimeter decagram Match the abbreviation with the name
Significant Figures • Read the correct number of significant figures
What digit would be estimated in using this ruler? • Ones • Tenths • Hundredths • Thousandths • Tens
What decimal place is estimated when using this ruler? • Ones D. Thousandths • Tenths E. Tens • Hundredths
Measure the width of the rectangle using the correct number of sig figs. • 3. 75 cm D. 3.60 cm • 3.6 cm E. 4.25 cm • 2. 6 cm
Measure the length of the rectangle using the correct number of sig figs. • 12.55 cm C. 12.0 cm E. 13.50 cm • 12. 5 cm D. 13. 5 cm
How many sig figs should be in the correct measurement of the length of this rectangle? • 2 sig figs C. 4 sig figs E. 1 sig fig • 3 sig figs D. 5 sig figs
The width of this rectangle is 0.90 cm. How many significant figures are in this measurement? • 3 sig figs D. infinite sig figs • 2 sig figs E. none of the above • 1 sig fig
Multiplication and Division with Sig Figs • The least number of sig figs in the input is equal to the number of sig figs in the answer (output). • Remember all conversion factors and counted numbers have INFINITE sig figs! • Example: 8.00 g x 4.0 cm3/g = ? • 8.0 cm3
Addition and Subtraction with Sig Figs • The least number of decimal places in the input is the same number of decimal places in the output (answer). • 12.573 m + 3847.9 m - 378 m = ? • 3482.473 (unrounded) • 3482 rounded to the correct number of decimal places
Calculations with Sig Figs • A rectangle has a width of 5.0 cm and a length of 8.40 cm. What is the area of this rectangle in cm2? ___________ • A rectangular prism has the following measurements: length 8.54 cm, width 7.80cm, and height 10.00 cm. What is the volume in cm3? ______________