Measurement
Methods in Quantifying Data Dimensional Analysis
• Counting A process of using units and dimensions in
• Measuring solving problems.
Dimension
Measurement is the assignment of numerical Any physical property that can be observed/measured.
value to an object's physical properties
Fundamental Quantities are basic quantities that
are independent from one another. The units
corresponding to these quantities are called based
units or fundamental units.
Derived Quantities are quantities resulting from the
combination of any of the fundamental quantities.
Based Units are those which can be defined only
Dimensional Analysis
by the way they are measured.
1. Solve for unknown dimensions of physical
quantities/properties
Derive Units are defined by describing how it was calculated
2. Check whether equations are dimensionally
From other quantities.
correct
SYSTEM OF MEASUREMENTS
Unit Conversion
The value of the different fundamental and derived quantities is sometimes
composed of very large or very small numbers.
Scientific Notations
A convenient and widely used method of
expressing large and small numbers. It
facilitates comparisons and computations made
during measurements.
Scientific notation makes use of a short sequence of
number multiplied to some power of 10 and is
expressed as follows:
Dimensional Analysis
A process of using units or dimensions in
solving problems.
9m=900cm 1. 158 000km
2. 0.000009782L
Conversion Factors are numerical fraction or ratio 3. 7.20x10^8
between quantities which can be used as a 4. 4.9x10^12
multiplication factor for converting one unit to 5. 6.23x10^-9
another. 6. 4.353x10^2
Step 1: convert back to original value
Step 2: convert to scientific notation
PHYSICS 1 LESSON 1 Page 1
,Steps in unit conversion
1. Identify the value to be converted
2. Find the conversion factors that can be
used to change the units
3. Multiply the original value to the
conversion factor too eliminate and
change the units
1. 396m to km
2. 60miles to feet
3. 47cm to inches
4. 8.65 years to seconds
5. 12m^2 to cm^2
6. 55km/hr to m/s
7. 10mi/hr to km/hr(1 mi= 1.609km)
PHYSICS 1 LESSON 1 Page 2
, Significant Figures
Determining Significant Digits
1. All nonzero digits are significant
2. Zeroes between two nonzero digits are significant.
3. Zeroes to the left of the first nonzero digits
are not significant.
4. If a number is greater than 1, all zeroes to the right
of the decimal point are significant.
5. If a number is less than 1, only the zeroes at the end of
the number and zeroes between two digits are significant.
6. The zeroes immediately to the left of unexpressed
decimal point are not significant.
PHYSICS 1 LESSON 1 Page 3
Methods in Quantifying Data Dimensional Analysis
• Counting A process of using units and dimensions in
• Measuring solving problems.
Dimension
Measurement is the assignment of numerical Any physical property that can be observed/measured.
value to an object's physical properties
Fundamental Quantities are basic quantities that
are independent from one another. The units
corresponding to these quantities are called based
units or fundamental units.
Derived Quantities are quantities resulting from the
combination of any of the fundamental quantities.
Based Units are those which can be defined only
Dimensional Analysis
by the way they are measured.
1. Solve for unknown dimensions of physical
quantities/properties
Derive Units are defined by describing how it was calculated
2. Check whether equations are dimensionally
From other quantities.
correct
SYSTEM OF MEASUREMENTS
Unit Conversion
The value of the different fundamental and derived quantities is sometimes
composed of very large or very small numbers.
Scientific Notations
A convenient and widely used method of
expressing large and small numbers. It
facilitates comparisons and computations made
during measurements.
Scientific notation makes use of a short sequence of
number multiplied to some power of 10 and is
expressed as follows:
Dimensional Analysis
A process of using units or dimensions in
solving problems.
9m=900cm 1. 158 000km
2. 0.000009782L
Conversion Factors are numerical fraction or ratio 3. 7.20x10^8
between quantities which can be used as a 4. 4.9x10^12
multiplication factor for converting one unit to 5. 6.23x10^-9
another. 6. 4.353x10^2
Step 1: convert back to original value
Step 2: convert to scientific notation
PHYSICS 1 LESSON 1 Page 1
,Steps in unit conversion
1. Identify the value to be converted
2. Find the conversion factors that can be
used to change the units
3. Multiply the original value to the
conversion factor too eliminate and
change the units
1. 396m to km
2. 60miles to feet
3. 47cm to inches
4. 8.65 years to seconds
5. 12m^2 to cm^2
6. 55km/hr to m/s
7. 10mi/hr to km/hr(1 mi= 1.609km)
PHYSICS 1 LESSON 1 Page 2
, Significant Figures
Determining Significant Digits
1. All nonzero digits are significant
2. Zeroes between two nonzero digits are significant.
3. Zeroes to the left of the first nonzero digits
are not significant.
4. If a number is greater than 1, all zeroes to the right
of the decimal point are significant.
5. If a number is less than 1, only the zeroes at the end of
the number and zeroes between two digits are significant.
6. The zeroes immediately to the left of unexpressed
decimal point are not significant.
PHYSICS 1 LESSON 1 Page 3
