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Objective of the day:. To understand how to measure using a graduated cylinder, triple beam balance and a ruler. Daily Question # 1. What is the volume measurement in the following diagram?. Back to the Basics. Science Lab Equipment. Graduated Cylinder. Measure about 26.1 mL. Scale.
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Objective of the day: To understand how to measure using a graduated cylinder, triple beam balance and a ruler
Daily Question # 1 What is the volume measurement in the following diagram?
Graduated Cylinder • Measure about 26.1 mL
Scale • Weigh the object
Ruler • Measure the length of the object
SI Units • International System of Units (SI)
BIGGER SMALLER
1000 k kilo BIG 100 h hecto 10 dk deca 1 BASE (m, g, L) .1 d deci .01 c centi .001 m milli SMALL
How do you convert between metric units? • Determine whether you are going up the ladder or down the ladder. • If you go up, move the decimal to the left. • If you go down, move the decimal to the right. • Use the ladder to determine how many places to move the decimal. • The number of steps on the ladder is equal to the number of decimal places. • Write the correct units with your answer.
Practice Problems 1. 0.7834 mg = ____________ g 2. 100 cm = ______________ m 3. 345,000 kg = ____________ g 4. 2.5 mm = _______________ hm 5. 3.46 cg = ________________ mg 6. 1.00 km = _______________ cm
Scientific Notation • Method of writing very small or very large numbers • A positive exponent means the decimal moved to the left. A negative exponent means the decimal moved to the right
Scientific Notation • 602,200,000,000,000,000,000,000 = ? • Step 1: Make the Coefficient less than 10 and more than 1. • Step 2: Find out how many places over the decimal has to move to give you the number in step 1.
Scientific Notation • 5,300,000 = ? • 4,302,000,000 = ? • -24,500 = ? • .000034 = ? • -.0000007 = ?
Scientific Notation • 5.3 x 104 = ? • 7.02 x 108 = ? • -3.21 x 103 = ? • 7.093 x 10-4 = ? • -5 x 10-3
Scientific Notation • Addition and Subtraction: • Make the exponents the same number • Add/Subtract the coefficient 5.3x102 + 2.6x103 = 5.3x102 + 26.x102 = 31.3x102= 3.13x103
Scientific Notation • Multiplication and Division • Add or Subtract exponents • Multiply or Divide coefficients Multiply Divide 5.2x102 x 4.8x104 = 5.0x104 ÷ 2.5x103= (5.2 x 4.8) x10(2+4) (5.0 ÷ 2.5) x10(4-3)= 24.96x106 2.0x101 2.496x107
Scientific Notation • 5.6x104 + 4.3x102 = ? • 4.0x106– 8.3x105 = ? • 2.3x105 x 4.3x106 = ? • 8.2x1012 ÷ 4.1x107 = ?
Derive a relationship between the following 17 = 2 300 = 1 345 = 3 1000 = 1 1001 = 4 100.0 = 4
Accuracy vs. Precision • Accuracy: How close to the real value • Precision: How close a series of measurements are to each other
Significant Figures • Rounding Numbers: -Round up if the digit to the right is between 5-9 59.48 59.5 -Drop the number to the right if it’s between 0-4 3.84 3.8 Significant Figures Tell You What Number To Round To!
Significant Figures • All Non-zero numbers (1,2,3,4,5,6,7,8,9) are significant • Zeros – • Front of number are NEVER significant 0.0071, 0.42, .000099 all have 2 sig. figs • Middle of number are ALWAYS significant 7003, 40.79, 1.503 all have 4 sig. figs • End are SOMETIMES significant At end AFTER decimal, ALWAYS significant 36.00, 1.010, 9.000 all have 4 sig figs At end BEFORE decimal, NEVER significant 300, 7000, 20000 all have 1 sig fig
Significant Figures • 5.30 = ? • 76009.0 = ? • 1900 = ? • .0000000891 = ?
Significant Figures • Addition and Subtraction • Match the number with the least number of decimals • Ex: 13.21 + 4.1 = 17.3 13.21 + 4.100 = 17.31 13.21 + 4 = 17 • Multiplication and Division • Match value with fewest number of sig figs • Ex: 2.00 x 11 =22 2.00 x 11.0 = 22.0 2 x 11 = 20