Download Dimensional Analysis Part I FA # 22

FA # 22—Measurement & Dimensional Analysis Part I
Physical Science
MTHS/Matthews
Name_______________________________
Directions: Working entirely alone on this assignment, answer the following questions on this sheet of paper.
Read pages 14-18 in your textbook to answer questions 1-6.
(1) Complete the following sentences from the reading:
(a) For a measurement to make sense, it requires both a _______________ and a ___________.
(b) Scientists use a set of measuring units call _____, or the _______________ ____________ of units.
(2) The base unit for length is the _______. The base unit for ________ is the kilogram (kg). One derived unit
is volume. It is “derived” or calculated because it can be found by multiplying _________ by _________ by
__________, which gives you ___________ ___________ (
).
(3) For the quantities below use the table on page 16 to determine if the unit is a base (B) unit or a derived (D)
unit. Write “B” or “D” next to each quantity in the spaces below.
Temperature ______
Area ______
Pressure _____
Time ______
Energy _____
Electric Current _____
Density ______
Frequency _____
Electric Charge ____
Mass _____
(4) Fill in the missing blanks in the table below using the table on page 17 of your textbook.
SI Prefixes
GigaMega-
G
k
d
DeciCenti-
m
μ
n
MicroNano-
Billion (109)
Million (106)
(
)
(
)
Hundredth (10-2)
Thousandth (10-3)
(
)
Billionth (10-9)
1,000,000,000
1,000,000
0.1
0.000001
(5) Complete the sentence below from the reading on page 18: The easiest way to convert from one unit of
measurement to another is to use _________________ ___________. This is a __________ of ____________
__________________ that is used to convert a quantity expressed in one unit to another unit. For example,
since 1 kilometer is 1000 meters you can write this equivalent statement in two ways (write them below).
___1 km____ or
___________
1 km
(6) Read page 14 & 15 of your textbook and answer the following questions below. Write the following
numbers in scientific notation for part A and in standard notation for part B.
PART A
(i) 300,000,000 = _________________
(iii) 64534 = _____________________
PART B
(v) 2.78 x 104 = ___________________
(vii) 5.0 x 106 = ___________________
(ii) 0.00086 = _____________________
(iv) 0.00147 = _____________________
(vi) 4.65 x 10-3 = ____________________
(viii) 1.65 x 10-2 = ___________________
Directions: For # 7-11 show all your work USING DIMENSIONAL ANALYSIS for ANY credit.
Conversion factors
1 foot (ft) = 12 inches (in)
1 inch (in) = 2.54 centimeters (cm)
1 meter (m) = 100 centimeters (cm)
1 meter (m) = 1000 millimeters (mm)
1 meter (m) = 1,000,000 micrometers (μm)
1 meter = 1,000,000,000 nanometers (nm)
1 mile (mi) = 5280 feet (ft)
1 mile = 1.6 kilometers (km)
1 kilometer (km) = 1000 meters (m)
1 megameter (Mm)=1,000,000 meters (m)
1 gigameter = 1,000,000,000 meters (m)
(7) Mount Everest is 8848 meters tall. How many kilometers tall is Mount Everest? Show all work with
dimensional analysis for ANY credit.
(8) A football field is 3.0 x 102 feet long. How many miles long is a football field? Show all work with
dimensional analysis for ANY credit.
(9) A car travels 1.6 x 105 meters. How many Megameters did the car travel? Show all work with dimensional
analysis for ANY credit.
(10) Mr. Matthews’ classroom is about 1.5 x 103 centimeters long. How many meters long is Mr. Matthews’
classroom? Show all work with dimensional analysis for ANY credit.
(11) The closest star to the planet earth is called, “proxima centauri” and it is 9.45 x 1012 km away from the
earth. How many miles from earth is this star? Show all work with dimensional analysis for ANY credit &
write your answer in scientific notation.