dimensional analysis metric system. let’s look at the chart again
TRANSCRIPT
![Page 1: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/1.jpg)
Dimensional Analysis
Metric System
![Page 2: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/2.jpg)
Let’s look at the chart again.
![Page 3: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/3.jpg)
Let’s look at the chart again.
Meter, Liter, GramStandard Unit SI
![Page 4: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/4.jpg)
Let’s look at the chart again.
![Page 5: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/5.jpg)
Kilo
Kilo comes the Greek word meaning “thousand”
So we use this word and prefix to indicate that there are a thousand of the SI unit in one Kilo
EXAMPLE: 1000m = 1 km1000 L = 1 kL1000g = 1kg
![Page 6: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/6.jpg)
Let’s look at the chart again.
![Page 7: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/7.jpg)
Centi
• Centi comes the latin word meaning “hundred”
• Think of a Penny. One hundred pennies makes a dollar.
• 100 years makes a century• In dimensional analysis, a centi is SMALLER
than the SI unit.
![Page 8: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/8.jpg)
Centi
• 100 cm = 1m• 100 cg = 1 g• 100 cL = 1 L
![Page 9: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/9.jpg)
Let’s look at the chart again.
![Page 10: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/10.jpg)
milli
• Latin word for “thousand”• Millipede (one thousand, pedis means foot)• A milli is smaller than the SI unit
• 1000 mL = 1L• 1000 mg = 1g• 1000 mm = 1m
![Page 11: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/11.jpg)
![Page 12: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/12.jpg)
• EX. How many meter are in 925 km?
925 km ? m=
![Page 13: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/13.jpg)
Draw the dimensional “jumps”.
925 km ? m=
925 km x
* Use charts or tables to find relationships
![Page 14: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/14.jpg)
Insert relationship so units cancel.
925 km xkm
*units of known in denominator (bottom) first*** units of unknowns in numerator (top
m
1
1,000
![Page 15: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/15.jpg)
Cancel units
925 km xkm
m
1
1,000
![Page 16: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/16.jpg)
Do the Math
925 km xkm
m
1
1,000
1 x 1=
925 x 1,000
1=
925,000= 925,000
![Page 17: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/17.jpg)
How wide is our universe?
210,000,000,000,000,000,000,000 miles(22 zeros)
This number is written in decimal notation. When numbers get this large, it is easier to write them in
scientific notation.
![Page 18: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/18.jpg)
Scientific Notation
A number is expressed in scientific notation when it is in the form
a x 10n
where a is between 1 and 10
and n is an integer
![Page 19: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/19.jpg)
Write the width of the universe in scientific notation.
210,000,000,000,000,000,000,000 miles
Where would you put the decimal to make this number be between 1 and
10?
![Page 20: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/20.jpg)
2.10,000,000,000,000,000,000,000.
How many decimal places did you move the decimal?
![Page 21: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/21.jpg)
2.10,000,000,000,000,000,000,000.
How many decimal places did you move the decimal?
23
![Page 22: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/22.jpg)
2.10,000,000,000,000,000,000,000.
How many decimal places did you move the decimal?
23When the original number is more than 1,
the exponent is positive.The answer in scientific notation is
![Page 23: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/23.jpg)
2.10,000,000,000,000,000,000,000.
How many decimal places did you move the decimal?
23When the original number is more than 1,
the exponent is positive.The answer in scientific notation is
2.1 x 1023
![Page 24: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/24.jpg)
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
![Page 25: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/25.jpg)
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02
![Page 26: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/26.jpg)
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02The decimal was moved how many places?
![Page 27: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/27.jpg)
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02The decimal was moved how many places?
8
![Page 28: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/28.jpg)
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02The decimal was moved how many places?
8When the original number is less than 1, the
exponent is negative.
![Page 29: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/29.jpg)
1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 10?
9.02The decimal was moved how many places?
8When the original number is less than 1, the
exponent is negative.9.02 x 10-8
![Page 30: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/30.jpg)
![Page 31: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/31.jpg)
LecturePLUS Timberlake 31
Learning Check
How many seconds are in 1.4 days?
Unit plan: days hr min seconds
1.4 days x 24 hr x ?? 1 day
![Page 32: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/32.jpg)
LecturePLUS Timberlake 32
Solution
Unit plan: days hr min seconds
1.4 day x 24 hr x 60 min x 60 sec 1 day 1 hr 1 min
= 1.2 x 105 sec
![Page 33: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/33.jpg)
Accuracy versus Precision
• Accuracy: how close you are to the actual value
• Precision: the ability to measure with exactness, repeatability.
![Page 34: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/34.jpg)
Accuracy versus Precision
• VALUES IN DATA: • 12.33 cm• 12.21 cm• 12.27 cm• 12.24 cm
• ACTUAL VALUE: 99 cm
The data is precise, but not accurate
![Page 35: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/35.jpg)
Accuracy versus Precision
• VALUES IN DATA:• 95.89 cm• 101.22 cm• 96.80 cm• 99.2 cm
• ACTUAL VALUE: 99 cm
The data is accurate but not precise
![Page 36: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/36.jpg)
Accuracy versus Precision
• VALUES OF DATA:• 14.53 cm• 99.49 cm• 57.90 cm• 32.84 cm
• ACTUAL VALUE: 99 cm
The data neither accurate nor precise
![Page 37: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/37.jpg)
Accuracy versus Precision
• VALUES OF DATA:• 99.87 cm• 99.12 cm• 98.99 cm• 99.53 cm
• ACTUAL VALUE: 99 cm
The data is both accurate and precise.
![Page 38: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/38.jpg)
CALCULATING DEGREE OF ERROR
• Measurement – Actual Value X 100 Actual Value
EX: measurement is 29. Actual Value is 27.5
29 – 27.5 X 100 = 5.45% percentage of error 27.5
![Page 39: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/39.jpg)
OTHER MEASUREMENTS
• VOLUME = L , cm3, cc• MASS= g• LENGTH= m• DENSITY = g/ml, g/cm3
![Page 40: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/40.jpg)
LET’S REVIEW
![Page 41: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/41.jpg)
The student determines that the unknown substance is sodium chloride. Which of the following is an extensive property of sodium chloride?•Mass of 15 g•White color•Density of 2.17 g/cm3
• Solubility in water19.
![Page 42: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/42.jpg)
The safest way to dilute concentrated sulfuric acid is to add:
– A series of small volumes of water to the acid while stirring.
– The acid to water slowly while stirring constantly.– The acid to a small volume of water and then add
more water.– Dilute sulfuric acid to a small volume of the
concentrated acid.
![Page 43: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/43.jpg)
• WHAT HAPPENED TO THE DENSITY OF THE SUBSTANCE???
![Page 44: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/44.jpg)
What is the most appropriate unit of measure for reporting the density of a solid?
– g/cm3
– g/cm– g/L2
– g/mm2
![Page 45: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/45.jpg)
Volume is space the matter takes up
![Page 46: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/46.jpg)
cm3 = cc = mL
• These are the measurements of volume.
• The METRIC measurement for VOLUME is mL
• There will be at least three questions when you will need to know this.
![Page 47: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/47.jpg)
Jeremy decides to cook some pasta noodles. He notices that the directions say to add salt to water before bringing it to a
boil. The next day, Jeremy asks his science teacher, Ms. Jackson, a question: “How does adding salt affect the way water boils?” Ms. Jackson then asks Jeremy to plan and
conduct an experiment to find the answer. The following graph summarizes Jeremy’s results. Which list of materials
and equipment best represents what Jeremy would have used in order to get these results?
![Page 48: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/48.jpg)
• Beaker, water, pasta, table salt, pipette, hot plate, measuring spoon.
• Beaker, water, pasta, table salt, pH meter, hot plate, spatula, ring stand.
• Beaker, water, pasta, table salt, thermometer, hot plate, timer, ice cubes.
• Beaker, water, pasta, table salt, thermometer, hot plate, spatula, balance.
![Page 49: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/49.jpg)
Which of the following pieces of equipment would be most appropriate for measuring the volume of a marble?
![Page 50: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/50.jpg)
How many significant figures
• 32.983• 8.000• 4839.4• 0.000000000000023• 23,000.0• 450,057
![Page 51: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/51.jpg)
What do these PREFIXES mean
• Kilo• Centi• Milli
![Page 52: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/52.jpg)
KILO
• Greek for ‘thousand’• Means 1000 times larger
![Page 53: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/53.jpg)
Centi
• Latin for ‘hundred’• Mean 100 times SMALLER
![Page 54: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/54.jpg)
milli
• Latin for ‘thousand’• Means 1000 times smaller
![Page 55: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/55.jpg)
Temperature Conversions
Ko= Co + 273 Co = Ko - 273Fo = 9/5 (Co +32) Co = 5/9 (Fo-32)
WHAT YOU’RE GIVEN ON THE STAAR EXAM AND TAKS
0 Co = 273 Ko
![Page 56: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/56.jpg)
Precision and Accuracy
Team 1- 2.65 cm Team 2 - 2.75 cm Team 3 - 2.80 cmTeam 4 - 2.77 cm ACTUAL MEASUREMENTTeam 5 - 2.77 cm 2.70 cm Team 6 - 2.65 cm
Accurate, precise, both or neither
![Page 57: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/57.jpg)
Percentage of Error
• Measurement – actual value X 100 = %
actual measurement
EXAMPLE: team 1 2.65
2.65 – 2.70 X 100 = 1.85 % 2.70
![Page 58: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/58.jpg)
The quantitative measurement among the following is:
– The oak tree is taller than the maple.– The oak tree is very tall.– The oak tree is 15 meters tall.– The oak tree is taller than the house.
•
![Page 59: Dimensional Analysis Metric System. Let’s look at the chart again](https://reader035.vdocuments.net/reader035/viewer/2022062423/56649e5f5503460f94b59dab/html5/thumbnails/59.jpg)
Study Well
• Belief is half the battle. Good Luck