video 1.1 metric. fractions of an inch... 12 inches to a foot…. 3 feet to a yard…. 5.5 yards to...
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fractions of an inch...12 inches to a foot….3 feet to a yard…. 5.5 yards to a rod...320 rods to a mile... 43,560 sq ft to an acre...
But almost all other countries use the metric system, which is disadvantageous for us.
We buy cola in liters...We buy memory cards in bites…We run 10 km races...We swim in 25 meter pools...
Why haven’t we switched entirely to metric?
When measuring a person we would use meters.
If we are measuring an ant, would meters still be feasible? What should we use?
If we are measuring the distance from your house to the school, what should we use?
Always pick a prefix with a value close to what you are measuring.
If a unit is getting larger (m km) the number must get smaller. [If the unit gets smaller (m cm) the number gets larger.]
Examples:•1. 23.5cm = km•2. 3567mL = L•3. 0.0984g = ug
0.0002353.567 98400
Notice that each scales is marked with BP and FP of water as well as absolute zero.
The degree size of Celsius is equal to Kelvin. Therefore we adjust only for zero points: C = K – 273
K = C + 273
-10° Celsius = frigid (14° F) 0° Celsius = cold (32° F) 10° Celsius = cool (50° F) 20° Celsius = comfortably warm (68°
F) 30° Celsius = hot (86° F) 40° Celsius = very hot (104° F) 50° Celsius = Phoenix Hot (120°F)
1. Find the decimal point. If it is not written, it is at the end of the number.
2. Move the decimal point to make the number between 1 and 10
3. Place the number of space you moved the decimal in the n spot.
4. If you original number was above 1, the exponent is positive. If the number was smaller that 1, the exponent is negative.
1020000 is equal to •1.02x106
0.00789 is equal to •7.89x10-3
3.45x105 is equal to•345000
1.23x10-4 is equal to•0.000123
Multiplication and Division:
1.Multiply or divide the base numbers.2.When multiplying, add exponents.
When dividing, subtract exponents.
(8x105)(2x103) = 16x108 or 1.6x109
(8x105)/(2x103) = 4x102
Addition and Subtraction:
1.The exponents must be the same. Change your numbers to make this possible.
2.Add or subtract base numbers and do not change the exponent.
* Remember: if the decimal move makes the base number smaller, the exponent increases.
5x105 + 3x104 = 5x105 + 0.3x105 = 5.3x105
Precision: reproducibility, repeatability Accuracy: closeness to the correct
answer
1. A student obtains the following data:2.57mL2.59mL2.58mL2.98mL
Compare these pieces in terms of precision and accuracy.
Describe these diagrams in terms of precision and accuracy:
The first shows precision, not accuracy. The second shows accuracy, not precision.
Due to lack of precise equipment and variable climates we will most likely not end up with accurate results. Therefore, we will focus on refining our lab skills and strive for precise results.
When scientists take measurements their equipment can measure with varying degrees of precision.
A scientists final calculation can only be as precise as their least precise measurement.
Count digits in your measured number to determine their level of precision.
All natural numbers 1-9 count once. 569 has 3SF 3.456 has 4SF
The number zero is tricky…• Zeros always count between natural numbers:
109 have 3SF 50089 has 5SF• Zeros before a decimal and natural number
never count. 0.00789 has 3SF 001234 has 4SF
• Zeros after natural numbers only count IF there is a decimal present. 100 has 1SF100. has 3SF 100.0 has 4SF
Remember: you can only be as precise as your least precise measurement. Therefore, when adding and subtracting, round your answer to the least number of DECIMAL PLACES.
2.0 + 5.61 = 7.61 = 7.6 5.67 + 102.111 = 107.781 = 107.78 23 + 11.10 = 34.10 = 34
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