General Physics 1
First Quarter
Name of Learner: ______________________________ Grade Level: __________________
Section: ______________________________________ Date: ________________________ Week: _____________
Address: _______________________________________________________________________________________
Date of Release: _______________________ Date of Submission: ______________ Date Received_______________
LEARNING ACTIVITY SHEET NO. ______
Topic: Scientific Notation and Units
I.
Background Information for Learners
Measurement- A quantitative observation
Consists of 2 parts
 Number
 Unit – tells the scale being used
A. Scientific Notation- Very large or very small numbers can be expressed using scientific notation.
 The number is written as a number between 1 and 10 multiplied by 10 raised to a power.
 The power of 10 depends on
• The number of places the decimal point is moved.
• The direction the decimal point is moved.
• Left  Positive exponent
• Right  Negative exponent
 Representing Large Numbers
 Representing Small Numbers
To obtain a number between 1 and 10 we must move the decimal point.
0.000167 = 1.67  10−4
B. Units
Units provide a scale on which to represent the results of a measurement.
•
There are 3 commonly used unit systems.
• English
• Metric (uses prefixes to change the size of the unit)
• SI (uses prefixes to change the size of the unit)
C. Measurements of Length, Volume and Mass
•
Volume
 Amount of 3-D space occupied by a substance
 Fundamental unit is meter3 (m3)
•
II.
Mass


Quantity of matter in an object
Fundamental unit is kilogram
Learning Competency with Code
 Solve measurement problems involving conversion of units, expression of measurements in scientific notation
(STEM_GP12EU-la-1)
III.
Objectives/Learning Targets
1. Convert numbers into scientific notation;
2. Express length, Mass, time in SI units.
3. Solve Unit Conversion problems
Detailed Directions/Instructions
 Read the instructions and answer the attached activities.
Exercise/Activities
1. Activity 1 – Scientific Notation (45 min.)
2. Activity 2 – Conversion of units (45 min)
3. Activity 3 – Practice Solving (45 min)
IV.
V.
VI.
Rubric for Scoring




Understanding (R)-1.
Accuracy (A)-1.
Evidence (C)-1.
Explain (E)-1.
Demonstrate understanding of the question. The student understood the question.
The student answered the question accurately using factual information.
The student use specific evidence to back-up answer.
The student explains the answer thoroughly and logically. The student provides enough
information to back-up the answer in a way that makes sense.
Total of 4 points (can also be 1⁄2 for a total of 2)
VII.
VIII.
Values Integration
References/s for Learners
 www.boyertownasd.org
 Google.com
 https://chapworksheetfall.org
____________________________________________
Signature of Student
____________________________________________
Name and Signature of Parent/s Guardian
Note: You can attach additional sheets if necessary
Activity 1 Scientific Notation and Conversion of Units Worksheet – Scientific Notation
Name: ________________________________________________Section: _______________ Date: ____________
I.
Instruction: Convert the following numbers into scientific notation.
1.
2.
3.
4.
5.
6.
7.
8.
II.
3,400 _______________________________
0.000023 ____________________________
101,000 _____________________________
0.010 _______________________________
45.01 _______________________________
1,000,000 ___________________________
0.00671 _____________________________
4.50 ________________________________
Instruction: Convert the following numbers into standard notation:
1.
2.
3.
4.
5.
6.
7.
8.
III.
2.30 x 104 _______________________________
1.76 x 10-3 _______________________________
1.901 x 10-7 ______________________________
8.65 x 10-1 _______________________________
9.11 x 103 _______________________________
5.40 x 101 _______________________________
1.76 x 100 _______________________________
7.4 x 10-5 _______________________________
Instruction: Rewrite the following numbers in scientific notation, in simplest form. Include units. Use
appropriate significant figures.
1. Altitude of summit of Mt. Ka‘ala (highest point on O‘ahu): 4020 ft =
2. Altitude of summit of Mauna Kea: 13,796 ft =
3. Thickness of a human hair: 0.015 cm =
4. Wavelength of reddish light: 0.0000007 m =
5. Height of your instructor: 1.80 m =
6. Number of galaxies in the universe: 1 trillion galaxies =
7. Age of the universe in seconds: 430,000,000,000,000,000 s =
8. Volume of a hydrogen atom: 0.000 000 000 000 000 000 000 000 621 cm3 =
IV.
Instruction: --How many sig figs are in each of the following examples:
1.
2.
3.
4.
5.
6.
926.9
707
123.06
0.0402
0.82610
338.00
Activity 2 Scientific Notation and Conversion of Units Worksheet – Conversion of Unit
Name: ________________________________________________Section: _______________ Date: ____________
IX.
Instructions: Convert the following metric measurements:
1.
2.
3.
4.
5.
6.
7.
8.
II.
1000 mg =______g
160 cm =_______mm
109 dg = _______Kg
250 m = _______ Km
14 km = _______ m
1 L = __________mL
480 cm = ______ m
27 g = _________kg
9.
10.
11.
12.
13.
14.
15.
16.
198g = ________ Kg
mL = __________uL
500 um = ______cm
5 L = __________mL
16 cm = _______ mm
65 g = _________mg
2500 m = ______ Km
355 mL = _______L
17.
18.
19.
20.
21.
22.
23.
24.
8 mm = ________ cm
6.3 cm = ________mm
5.6 m = _________cm
26,000 cm = _____ m
56,500 mm = _____km
27.5 mg = ________g
923 cm = _________m
0.025 Km = _______m
Instructions: Identify the following abbreviations of the following units:
 milliliter_______
 milligram_______
 kilometer_______
 centimeter_______
 kilogram_______
 millimeter_______
 second_______
 gram_______
 meter_______
 liter_______
 decigram_______
 micrometer_______
III.
Instructions: Match each of the following length units to the distance that it is best or most frequently used to
describe.
Column A
Column B
A. Size of an ant
_____ 0.1 nm = 1 Å
B. Size of a person
_____ 100 nm = 1000 Å
C. Distances between neighboring stars
_____ 100 µm
D. Diameter of human hair
_____ 1 mm
E. Size of an atom
_____ 100 cm = 1 m
F. Size of viruses and small bacteria
_____ 1 km
G. Distances within our Solar System
_____ 108 km
H. Distances around Oahu
_____ 1013 km
Activity 3 Scientific Notation and Conversion of Units Worksheet – Practice Solving
Name: ________________________________________________Section: _______________ Date: ____________
I.
Instruction: Find the percent error for each problem below.
1. a. Starting with your age in years, calculate your age in days. (You do not need to be exact: forget about leap
days, etc.)
b. Approximately how many days long is your total life expectancy?
2. Use your weight in pounds (while standing on the surface of the Earth) to calculate your mass in kilograms and in
grams. (1 kg weighs approx. 2.205 lb on the surface of the Earth) This is a useful thing to know, since almost
every other country in the world uses kilograms!
3. Convert the speed 1.0000 m/s [meter/second] to mi/h [miles/hour], expressing your answer to 5 significant
figures. (Useful info: 1 mile = 5280 feet exactly, and 1 inch = 2.54 cm exactly.)
Answer Key
Activity 1 Scientific Notation and Conversion of Units Worksheet – Scientific Notation
Name: ________________________________________________Section: _______________ Date: ____________
I.
1)
2)
3)
4)
5)
6)
7)
8)
Instruction: Convert the following numbers into scientific notation.
3,400
0.000023
101,000
0.010
45.01
1,000,000
0.00671
4.50
II.
3.4 x 103
2.3 x 10-5
1.01 x 105
1.0 x 10-2
4.501 x 101
1 x 106
6.71 x 10-3
4.50 x 100
Instruction: Convert the following numbers into standard notation:
2.30 x 104
23,000
1.76 x 10-3
0.00176
1.901 x 10-7
0.0000001901
8.65 x 10-1
0.865
9.11 x 103
9,110
5.40 x 101
54.0
1.76 x 100
1.76
7.4 x 10-5
0.000074
III.
Instruction: Rewrite the following numbers in scientific notation, in simplest form. Include units. Use
appropriate significant figures.
1. Altitude of summit of Mt. Ka‘ala (highest point on O‘ahu): 4020 ft =
4.02 × 103 ft (or 4.020; it is unclear
whether the final zero is significant)
2. Altitude of summit of Mauna Kea: 13,796 ft = 1.3796 × 104 ft
3. Thickness of a human hair: 0.015 cm = 1.5 × 10–2 cm
4. Wavelength of reddish light: 0.0000007 m 7 × 10–7 m
5. Height of your instructor: 1.80 m = 1.80 m (this is the same as writing 1.80 × 100 m)
6. Number of galaxies in the universe: 1 trillion galaxies = 1 × 1012 galaxies (or simply: 1012 galaxies)
7. Age of the universe in seconds: 430,000,000,000,000,000 s =4.3 × 1017 s (or 4.30, or 4.300, etc., although there
are probably only 2 sig. figs)
8. Volume of a hydrogen atom: 0.000 000 000 000 000 000 000 000 621 cm3 = 6.21 × 10–25 cm3
IV.
1.
2.
3.
4.
5.
6.
Instruction: --How many sig figs are in each of the following examples:
926.9 has 4 Significant Figures (SF)
707 has 3 SF
123.06 has 5 SF
0.0402 has 3 SF
0.82610 has 5 SF
338.00 has 5 SF
Activity 2 Scientific Notation and Conversion of Units Worksheet – Conversion of Unit
Name: ________________________________________________Section: _______________ Date: ____________
I.
Instructions: Convert the following metric measurements:
1000 mg = 1 g
198g = 0.198 Kg
8 mm = 0.8 cm
160 cm = 1,600 mm
75mL = 75,000 uL
6.3 cm = 63 mm
109 dg = 0.0109 Kg
500 um = 0.05 cm
5.6 m = 560 cm
250 m = 0.250 Km
5 L = 5,000mL
26,000 cm = 260 m
14 Km = 14,000 m
16 cm = 160mm
56,500 mm = 0.0565 Km
1 L = 1,000 mL
65 g = 65,000 mg
27.5 mg = 0.0275 g
480 cm = 4.8 m
2500 m = 2.5 Km
923 cm = 9.23 m
27 = 0.027 kg
355 mL = 0.355 L
II.
0.025 Km = 2,500 cm
Instructions: Identify the following abbreviations of the following units:
milliliter___mL____
milligram___mg____
kilometer__km____ centimeter___cm___
kilogram___kg___
millimeter___mm___
second___s____
gram__g_____
meter____m___
liter____L___
decigram___dg___
micrometer__um____
III.
Instructions: Match each of the following length units to the distance that it is best or most frequently used to
describe.
Column A
Column B
A. Size of an ant
E 0.1 nm = 1 Å
B. Size of a person
F 100 nm = 1000 Å
C. Distances between neighboring stars
D 100 µm
D. Diameter of human hair
A 1 mm
E. Size of an atom
B 100 cm = 1 m
F. Size of viruses and small bacteria
H 1 km
G. Distances within our Solar System
G 108 km
H. Distances around Oahu
C 1013 km
Activity 3 Scientific Notation and Conversion of Units Worksheet – Practice Solving
Name: ________________________________________________Section: _______________ Date: ____________
I, Instruction: Find the percent error for each problem below.
1. a. Starting with your age in years, calculate your age in days. (You do not need to be exact: forget about leap
days, etc.)
Answer: Assuming an age of 20. years: (20. y) × (365 d / 1 y) = 7300 d
b. Approximately how many days long is your total life expectancy?
Answer: Assuming an 80.-year life expectancy: (80. y) × (365 d / 1 y) = 29,000 d (rounded to 2 significant
figures)
2. Use your weight in pounds (while standing on the surface of the Earth) to calculate your mass in kilograms and in
grams. (1 kg weighs approx. 2.205 lb on the surface of the Earth) This is a useful thing to know, since almost
every other country in the world uses kilograms!
Answer: Assuming a weight of 150. pounds: (150. lb) × (1 kg / 2.205 lb) = 68.0 kg
3. Convert the speed 1.0000 m/s [meter/second] to mi/h [miles/hour], expressing your answer to 5 significant
figures. (Useful info: 1 mile = 5280 feet exactly, and 1 inch = 2.54 cm exactly.)
Answer: . a. 1.0000 m/s = 2.2369 mi/h, or 1.0000 mi/h = 0.44704 m/s
For Teachers
Bukidnon Association of Catholic Schools (BUACS), Inc
Dioceses of Malaybalay
Stella Matutina Academy
General Physics 1
First Quarter
LEARNING ACTIVITY SHEET NO. 14
Topic: Scientific Notation and Units
I.
Background Information for Learners
Measurement- A quantitative observation
Consists of 2 parts
 Number
 Unit – tells the scale being used
A. Scientific Notation- Very large or very small numbers can be expressed using scientific notation.
 The number is written as a number between 1 and 10 multiplied by 10 raised to a power.
 The power of 10 depends on
• The number of places the decimal point is moved.
• The direction the decimal point is moved.
• Left  Positive exponent
• Right  Negative exponent
 Representing Large Numbers
 Representing Small Numbers
To obtain a number between 1 and 10 we must move the decimal point.
4
Units
Units provide a scale on which to represent the results of a measurement.
•
There are 3 commonly used unit systems.
• English
• Metric (uses prefixes to change the size of the unit)
• SI (uses prefixes to change the size of the unit)
Measurements of Length, Volume and Mass
•
Volume
 Amount of 3-D space occupied by a substance
 Fundamental unit is meter3 (m3)
•
Mass


II.
Quantity of matter in an object
Fundamental unit is kilogram
Learning Competency with Code
 Solve measurement problems involving conversion of units, expression of measurements in scientific notation
(STEM_GP12EU-la-1)
III.
Objectives/Learning Targets
4. Convert numbers into scientific notation;
5. Express length, Mass, time in SI units.
6. Solve Unit Conversion problems
IV.
Detailed Directions/Instructions
 Read the instructions and answer the attached activities.
V.
Exercise/Activities
1. Activity 1 – Scientific Notation (45 min.)
2. Activity 2 – Conversion of units (45 min)
3. Activity 3 – Practice Solving (45 min)
VI.




Rubric for Scoring
Understanding (R)-1.
Accuracy (A)-1.
Evidence (C)-1.
Explain (E)-1.
Demonstrate understanding of the question. The student understood the question.
The student answered the question accurately using factual information.
The student use specific evidence to back-up answer.
The student explains the answer thoroughly and logically. The student provides enough
information to back-up the answer in a way that makes sense.
Total of 4 points (can also be 1⁄2 for a total of 2)
VII.
Values Integration
VIII. References/s for Learners
 www.boyertownasd.org
 Google.com
 https://chapworksheetfall.org
 Urone et al., (2015) General Physics 1. Vibal Publishing Inc. pp4-7
____________________________________________
Signature of Student
____________________________________________
Name and Signature of Parent/s Guardian
Note: You can attach additional sheets if necessary
Activity 1 Scientific Notation and Conversion of Units Worksheet – Scientific Notation
Name: ________________________________________________Section: _______________ Date: ____________
V.
9.
10.
11.
12.
13.
14.
15.
16.
VI.
Instruction: Convert the following numbers into scientific notation.
3,400 _______________________________
0.000023 ____________________________
101,000 _____________________________
0.010 _______________________________
45.01 _______________________________
1,000,000 ___________________________
0.00671 _____________________________
4.50 ________________________________
Instruction: Convert the following numbers into standard notation:
1.
2.
3.
4.
5.
6.
7.
8.
VII.
2.30 x 104 _______________________________
1.76 x 10-3 _______________________________
1.901 x 10-7 ______________________________
8.65 x 10-1 _______________________________
9.11 x 103 _______________________________
5.40 x 101 _______________________________
1.76 x 100 _______________________________
7.4 x 10-5 _______________________________
Instruction: Rewrite the following numbers in scientific notation, in simplest form. Include units. Use
appropriate significant figures.
9. Altitude of summit of Mt. Ka‘ala (highest point on O‘ahu): 4020 ft =
10. Altitude of summit of Mauna Kea: 13,796 ft =
11. Thickness of a human hair: 0.015 cm =
12. Wavelength of reddish light: 0.0000007 m =
13. Height of your instructor: 1.80 m =
14. Number of galaxies in the universe: 1 trillion galaxies =
15. Age of the universe in seconds: 430,000,000,000,000,000 s =
16. Volume of a hydrogen atom: 0.000 000 000 000 000 000 000 000 621 cm3 =
VIII.
Instruction: --How many sig figs are in each of the following examples:
7.
8.
9.
10.
11.
12.
926.9
707
123.06
0.0402
0.82610
338.00
Activity 2 Scientific Notation and Conversion of Units Worksheet – Conversion of Unit
Name: ________________________________________________Section: _______________ Date: ____________
IX.
9.
10.
11.
12.
13.
14.
15.
16.
IV.
Instructions: Convert the following metric measurements:
1000 mg =______g
160 cm =_______mm
109 dg = _______Kg
250 m = _______ Km
14 km = _______ m
1 L = __________mL
480 cm = ______ m
27 g = _________kg
9.
10.
11.
12.
13.
14.
15.
16.
198g = ________ Kg
mL = __________uL
500 um = ______cm
5 L = __________mL
16 cm = _______ mm
65 g = _________mg
2500 m = ______ Km
355 mL = _______L
17.
18.
19.
20.
21.
22.
23.
24.
8 mm = ________ cm
6.3 cm = ________mm
5.6 m = _________cm
26,000 cm = _____ m
56,500 mm = _____km
27.5 mg = ________g
923 cm = _________m
0.025 Km = _______m
Instructions: Identify the following abbreviations of the following units:
 milliliter_______
 milligram_______
 kilometer_______
 centimeter_______
 kilogram_______
 millimeter_______
 second_______
 gram_______
 meter_______
 liter_______
 decigram_______
 micrometer_______
V.
Instructions: Match each of the following length units to the distance that it is best or most frequently used to
describe.
Column A
Column B
A. Size of an ant
_____ 0.1 nm = 1 Å
B. Size of a person
_____ 100 nm = 1000 Å
C. Distances between neighboring stars
_____ 100 µm
D. Diameter of human hair
_____ 1 mm
E. Size of an atom
_____ 100 cm = 1 m
F. Size of viruses and small bacteria
_____ 1 km
G. Distances within our Solar System
_____ 108 km
H. Distances around Oahu
_____ 1013 km
Activity 3 Scientific Notation and Conversion of Units Worksheet – Practice Solving
Name: ________________________________________________Section: _______________ Date: ____________
II.
Instruction: Find the percent error for each problem below.
4. a. Starting with your age in years, calculate your age in days. (You do not need to be exact: forget about leap
days, etc.)
b. Approximately how many days long is your total life expectancy?
5. Use your weight in pounds (while standing on the surface of the Earth) to calculate your mass in kilograms and in
grams. (1 kg weighs approx. 2.205 lb on the surface of the Earth) This is a useful thing to know, since almost
every other country in the world uses kilograms!
6. Convert the speed 1.0000 m/s [meter/second] to mi/h [miles/hour], expressing your answer to 5 significant
figures. (Useful info: 1 mile = 5280 feet exactly, and 1 inch = 2.54 cm exactly.)
Answer Key
Activity 1 Scientific Notation and Conversion of Units Worksheet – Scientific Notation
Name: ________________________________________________Section: _______________ Date: ____________
V.
1)
2)
3)
4)
5)
6)
7)
8)
Instruction: Convert the following numbers into scientific notation.
3,400
0.000023
101,000
0.010
45.01
1,000,000
0.00671
4.50
VI.
3.4 x 103
2.3 x 10-5
1.01 x 105
1.0 x 10-2
4.501 x 101
1 x 106
6.71 x 10-3
4.50 x 100
Instruction: Convert the following numbers into standard notation:
2.30 x 104
23,000
1.76 x 10-3
0.00176
1.901 x 10-7
0.0000001901
8.65 x 10-1
0.865
9.11 x 103
9,110
5.40 x 101
54.0
1.76 x 100
1.76
7.4 x 10-5
0.000074
VII.
Instruction: Rewrite the following numbers in scientific notation, in simplest form. Include units. Use
appropriate significant figures.
9. Altitude of summit of Mt. Ka‘ala (highest point on O‘ahu): 4020 ft =
4.02 × 103 ft (or 4.020; it is unclear
whether the final zero is significant)
10. Altitude of summit of Mauna Kea: 13,796 ft = 1.3796 × 104 ft
11. Thickness of a human hair: 0.015 cm = 1.5 × 10–2 cm
12. Wavelength of reddish light: 0.0000007 m 7 × 10–7 m
13. Height of your instructor: 1.80 m = 1.80 m (this is the same as writing 1.80 × 100 m)
14. Number of galaxies in the universe: 1 trillion galaxies = 1 × 1012 galaxies (or simply: 1012 galaxies)
15. Age of the universe in seconds: 430,000,000,000,000,000 s =4.3 × 1017 s (or 4.30, or 4.300, etc., although there
are probably only 2 sig. figs)
16. Volume of a hydrogen atom: 0.000 000 000 000 000 000 000 000 621 cm3 = 6.21 × 10–25 cm3
VIII.
7.
8.
9.
10.
11.
12.
Instruction: --How many sig figs are in each of the following examples:
926.9 has 4 Significant Figures (SF)
707 has 3 SF
123.06 has 5 SF
0.0402 has 3 SF
0.82610 has 5 SF
338.00 has 5 SF
Activity 2 Scientific Notation and Conversion of Units Worksheet – Conversion of Unit
Name: ________________________________________________Section: _______________ Date: ____________
X.
Instructions: Convert the following metric measurements:
1000 mg = 1 g
198g = 0.198 Kg
8 mm = 0.8 cm
160 cm = 1,600 mm
75mL = 75,000 uL
6.3 cm = 63 mm
109 dg = 0.0109 Kg
500 um = 0.05 cm
5.6 m = 560 cm
250 m = 0.250 Km
5 L = 5,000mL
26,000 cm = 260 m
14 Km = 14,000 m
16 cm = 160mm
56,500 mm = 0.0565 Km
1 L = 1,000 mL
65 g = 65,000 mg
27.5 mg = 0.0275 g
480 cm = 4.8 m
2500 m = 2.5 Km
923 cm = 9.23 m
28 = 0.027 kg
355 mL = 0.355 L
XI.
0.025 Km = 2,500 cm
Instructions: Identify the following abbreviations of the following units:
milliliter___mL____
milligram___mg____
kilometer__km____ centimeter___cm___
kilogram___kg___
millimeter___mm___
second___s____
gram__g_____
meter____m___
liter____L___
decigram___dg___
micrometer__um____
XII.
Instructions: Match each of the following length units to the distance that it is best or most frequently used to
describe.
Column A
Column B
A. Size of an ant
E 0.1 nm = 1 Å
B. Size of a person
F 100 nm = 1000 Å
C. Distances between neighboring stars
D 100 µm
D. Diameter of human hair
A 1 mm
E. Size of an atom
B 100 cm = 1 m
F. Size of viruses and small bacteria
H 1 km
G. Distances within our Solar System
G 108 km
H. Distances around Oahu
C 1013 km
Activity 3 Scientific Notation and Conversion of Units Worksheet – Practice Solving
Name: ________________________________________________Section: _______________ Date: ____________
I, Instruction: Find the percent error for each problem below.
4. a. Starting with your age in years, calculate your age in days. (You do not need to be exact: forget about leap
days, etc.)
Answer: Assuming an age of 20. years: (20. y) × (365 d / 1 y) = 7300 d
b. Approximately how many days long is your total life expectancy?
Answer: Assuming an 80.-year life expectancy: (80. y) × (365 d / 1 y) = 29,000 d (rounded to 2 significant
figures)
5. Use your weight in pounds (while standing on the surface of the Earth) to calculate your mass in kilograms and in
grams. (1 kg weighs approx. 2.205 lb on the surface of the Earth) This is a useful thing to know, since almost
every other country in the world uses kilograms!
Answer: Assuming a weight of 150. pounds: (150. lb) × (1 kg / 2.205 lb) = 68.0 kg
6. Convert the speed 1.0000 m/s [meter/second] to mi/h [miles/hour], expressing your answer to 5 significant
figures. (Useful info: 1 mile = 5280 feet exactly, and 1 inch = 2.54 cm exactly.)
Answer: . a. 1.0000 m/s = 2.2369 mi/h, or 1.0000 mi/h = 0.44704 m/s