Measurement and Handling numbers

1. MEASUREMENT AND HANDLING
NUMBERS
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM

2. Objectives
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
•Discuss basic concepts in measurement and numerical data
•Illustrate dimensional analysis used in the conversion of base
and derived units
•Discuss Problem-Solving Techniques for junior high school
learners
•Present useful tips in using basic and scientific calculators
•Suggest available, free and potential computational mobile
apps for junior high school learners

3. Basic concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
MEASUREMENT
- process of expressing the size or quantity unit to a
known standard unit
- is a collection of quantitative or numerical data that
describes a property of an object or event.
,
- is made by comparing a quantity with a standard unit.

4. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
SYSTEME INTERNATIONAL D’UNITES (SI UNITS)

5. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
SIGNIFICANT FIGURES
- are the digits of value which carry meaning towards
the resolution of the measurement.

6. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES ON SIGNIFICANT FIGURES

7. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES ON SIGNIFICANT FIGURES

8. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES ON SIGNIFICANT FIGURES

9. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES ON SIGNIFICANT FIGURES

10. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
SCIENTIFIC NOTATION
- a shorthand method of expressing numbers that are
too big or too small.

11. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
SCIENTIFIC NOTATION

12. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
ACCURACY
- is how close a measured value is to the true (known) value.
PRECISION
- is how close the measured values are to each other

13. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
ACCURACY AND PRECISION

14. Basic Concepts in Measurement
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
UNCERTAINTY IN MEASUREMENT
- the doubt that exists about the result of any
measurement.

15. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES FOR ADDITION AND SUBTRACTION INVOLVING
SIGNIFICANT FIGURES
When adding or subtracting numbers, the end
result should have the same amount of decimal
places as the number with the least amount of
decimal places.
232.234 + 0.27 = 232.50

16. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES FOR MULTIPLICATION AND DIVISION
INVOLVING SIGNIFICANT FIGURES
When multiplying or dividing numbers, the end
result should have the same amount of
significant digits as the number with the least
amount of significant digits.
28 x 47.3 = 1 300

17. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES FOR SIGNIFICANT FIGURES
TRY THIS!
58.930 + 68.35112 = 127.281
45001 - 56.355
0.003 + 3.5198
98.1 x 0.03
=
=
=
44,945
3.523
3

18. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERTING DECIMAL NOTATION TO SCIENTIFIC
NOTATION AND VICE VERSA

19. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES IN ADDING AND SUBTRACTING NUMBERS
IN SCIENTIFIC NOTATION
=

20. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES IN MULTIPLYING NUMBERS IN SCIENTIFIC
NOTATION
Multiply the coefficients as usual and add the
exponents of 10.

21. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
RULES IN DIVIDING NUMBERS IN SCIENTIFIC
NOTATION
Divide the coefficients as usual and subtract the
exponents of 10.

22. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
TRY THIS!
(2 X 103) + (5 X 105) = 5.02 X 105
(8 X 109) - (3 X 107)
(9 X 105) / (6 X 107)
(5 X 102) • (3 X 104)
=
=
=
7.97 X 109
1.5 X 10-2
1.5 X 107
RULES IN DEALING WITH NUMBERS
EXPRESSED IN SCIENTIFIC NOTATION

23. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS

24. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
2.5 hr
1 hr
X
3 600 s
= 9 000 s

25. 1 750 cm
Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
1 000 m
X
1 km
=
100 cm
X
1 m
0.01750 km

26. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
Conversion of Temperature Units Formula

27. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
Useful Facts on Temperature

28. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
62.6 ℃ +32
= 1.8 (34.8 ℃) +32
9/5(℃) + 32=
94.6
=
=

29. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
150 cm3
1 000 mL
X
1 L
=
1 cm3
X
1 mL
0.150 L

30. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
CONVERSION OF BASE AND DERIVED UNITS
15 m/s
1 h
X
3 600 s
=
1000 m
X
1 km
54 km/h

31. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
THE MOLE CONVERSION CHART

32. Handling Numbers
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
THE MOLE CONVERSION CHART
0.000142 molVitC
gVitC X
176.12 gVitC
1 molVitC
=
= 0.02500904 gVitC
= 0.0250 gVitC

33. PROBLEM SOLVING TIPS FOR JUNIOR
HIGH SCHOOL
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
1. Follow G,U,F,S,A Method.
2. Read the problem carefully by looking for context clues,
considering prepositions and adjectives.
3. The unknown is in the question.
4. Always start with the original formula. Use correct
conversion factors.
5. Establish rule in presenting answers.
6. Employ PEER TUTORS. It works!
7. Let learners answer worksheets comfortably.

34. TIPS ON USING CALCULATOR
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
1. Don’t ask your students to buy a scientific calculator. Regular
calculators will do. Smartphones have built-in ones or
it can be downloaded.

35. TIPS ON USING CALCULATOR
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
2. To write the base, use the button.

36. TIPS ON USING CALCULATOR
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
3. Don’t use high tech calculators.

37. MOBILE APPS THAT HELP
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
There is no one size fits all app .Choose, use
and change.

38. References
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM
https://www.slideshare.net/ZobiaHamid/importance-of-
uncertainty-of-measurement-in-chemistry?qid=520cf769-
b514-44e8-a1b7-9a9a4f735e5b&v=&b=&from_search=1
https://www.slideshare.net/cuaresmatic/2-1-
unitsofmeasurement?qid=d88fd40a-9a9b-4dec-80f2-
56be09fdb1db&v=&b=&from_search=12
https://www.slideshare.net/earshadshinichi/scientific-
measurements-scientific-notations-significant-figures-and-
the-si-unit?qid=2ec0c308-6ba7-4933-a7ba-
a62b5043a24b&v=&b=&from_search=2

39. THANK YOU!!!
MARICEL D. VILLAGRACIA MAT-GENERAL SCIENCE
NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY
GRADUATE SCHOOL PROGRAM