Chapter 2- Learning Outcome 3_Mathematics for Technologists

Chapter 2- Learning Outcome 3_Mathematics for Technologists

1. 21
st
Century Mathematics for
the Industrial Technology
Learners: Automotive
Technology
BABY 'RLENE I. BAYOC

2. Measurements and
Scientific Notation
Chapter II
21
st
Century Mathematics for the Industrial Technology Learners: Automotive Technology

3. CHAPTER
 II: Measurements and Scientific Notations
Learning Outcome 3:
Converted and solved practical and
applied problems using the English
and Metric standard of
measurements.

4. CONVERSION OF UNIT MEASUREMENTS
Many quantities can be expressed in several different ways. For
example, in the metric system:
1 meter = 10 decimeters = 100 centimeters = 100 millimeters
1 kilometer = 1,000 meters = 1,000,000 = 1,000,000 millimeters
For metric to metric conversion, where the conversion factor is in power
of 10, we multiply if the number is from a higher unit to a lower unit and
divide the number if it is from lower unit to higher unit. For one step, use 10;
for two steps, use 102 or 100; for three steps, 103 or 1000; and so on, and
so forth.
CHAPTER
 II: Measurements and Scientific Notations

5. The Metric Ladder
CONVERSION OF UNIT MEASUREMENTS
CHAPTER
 II: Measurements and Scientific Notations
(Use mnemonic “King Henry Died Unexpectedly Drinking Chocolate Milk” for the
metric units)

6. Formulas for converting temperature readings from one unit to another unit
CONVERSION OF UNIT MEASUREMENTS
To/
From
0
C (Celsius)
0
F (Fahrenheit) K (Kelvin)
0
Ra (Rankine)
0
Re (Reaumur)
0
C 1 T(°C) × 1.8 + 32T(°C) + 273.15 [T(°C)+273.15]×1.8T(°C) × 0.8
0
F [T(°F) – 32] / 1.81 [T(°F)+459.67]/ 1.8T(°F) + 459.67 T(°F) - 32) × 4/9
K T(K) - 273.15 T(K) ×1.8 - 459.671 T(K) × 1.8 [T(K)- 273.15] × 0.8
0
Ra [T(°Ra)-491.67]/1.8T(°Ra) - 459.67 T(°Ra) / 1.8 1 [T(°Ra)-491.67]×4/9
0
Re T(°Re) / 0.8 T(°Re) × 9/4 + 32T(°Re)1.25+273.15T(°Re)9/4 + 491.671
CHAPTER
 II: Measurements and Scientific Notations

7. Time Measurement and Units.
CONVERSION OF UNIT MEASUREMENTS
60 seconds
=
1 minute 60 minutes =3600 seconds
60 minutes
=
1 hour 1 day =1440 minutes
24 hours
=
1 day 365 days =1 year
7 days
=
1 week 52 weeks =1 year
30 days
=
1 month 12 months =1 year
CHAPTER
 II: Measurements and Scientific Notations

8. CONVERSION OF UNIT MEASUREMENTS
Higher unit to a lower unit.
1. Convert 225 meters to millimeters.
Solution: 3 steps going down, so we
multiply by 10
3
or 1000.
225 x 1000 = 225,000 mm
2. Convert 8225 dekameters to
decimeters.
Solution: 2 steps going down, so we
multiply by 10
2
or 100.
8225 x 100 = 822,500 dm
CHAPTER
 II: Measurements and Scientific Notations

9. CONVERSION OF UNIT MEASUREMENTS
Lower unit to higher unit.
1. Convert 545 millimeters to meters.
Solution: 3 steps going up, so we
divide by 1000.
545 ÷ 1000 = 0.545 m
2. Convert 5450 decimeters to
dekameters.
Solution: 2 steps going up, so we divide
by 100.
5450 ÷ 100 = 54.50 Dk
CHAPTER
 II: Measurements and Scientific Notations

10. CHAPTER
 II: Measurements and Scientific Notations

11. References
https://blog.beamex.com/temperature-units-and-temperature-unit-conversion
https://www.emathzone.com/tutorials/math-results-and-formulas/weights-and-
measures.html#ixzz6K8UB6suo
https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-
area/geometry-
volume-rect-prism/v/conversion-between-metric-units
https://www.nwcg.gov/course/ffm/conversions/21-unit-conversion-and-conversion-
factors
https://www.rapidtables.com/math/symbols/greek_alphabet.html
https://www.youtube.com/watch?v=jqmIbcId3B0
https://www.youtube.com/watch?v=28lpXN4yL94
https://www.youtube.com/watch?v=_GJGYrqIHgo
CHAPTER
 II: Measurements and Scientific Notations

12. CHAPTER
 II: Measurements and Scientific Notations
Thank you