Transcript Section 5.1 & 5.3 A

SECTION 5.1 & 5.3 A
Period 1
Group # 3
SCIENTIFIC NOTATION DEFINITION
 Scientific
Notation expresses a number as a
product of a number between 1 through 10 and
the appropriate power of 10.
REPRESENTING LARGE AND SMALL
NUMBERS
62,000 = 6.2 x 104 , place a decimal at the right
end and move 4 to the left.
 .0021 = 2.1 x 10-3, move the decimal 3 times to
the right, and add a -3 exponent on the 10.

EXAMPLE: SCIENTIFIC NOTATION
Solve each of the following. Which of the two
measurements is greater?
 A) 2.67 x 104
 B) 287.2 x 10-2

ANSWER: SCIENTIFIC NOTATION
A) 26700
 B) 2.872


Answer: A is greater.
REMEMBER!
Moving the decimal point
to the left requires a
positive exponent.
 Moving the decimal point
requires a negative
exponent.
 Any # can represent the
product of numbers
between 1-10.
 The power of 10 depends
on number of decimal
places moved.

UNITS DEFINITION
Unit: The part of a measurement telling us the
scale being used. Think about these questions.
 Why are units important?
 Why are units needed?
 How are units represented? (results from a
measurement)

METRIC AND ENGLISH SYSTEM
 Metric
system is used
by most of the
industrialized world.
 The English system
is used by the United
States.
INTERNATIONAL SYSTEM (SI)
 International
system
(SI) is based on the
metric system.
 Most common units
are gram, meter, and
liters.
EXAMPLE: UNITS

Are units quantitative or qualitative part of a
measurement? Explain.
ANSWER: UNITS

Units are quantitative part of a measurement,
because they deal with numbers.
COMMON PREFIXES

Common Prefixes are mili, centi, deci, kilo, etc.
MEASUREMENTS OF LENGTH,
MASS, AND VOLUME
Length = the longest extent from end to end.
 Mass = Quantity of matter present in an object.
 Volume = Amount of a three-dimensional space
occupied by a substance. (Whenever dealing with
volume, always cube the units).
 Example: m3

EXAMPLES OF COMMONLY USED
UNITS

Commonly used units are milliliters, liters,
grams, inches, and centimeters.
QUESTIONS WE ASK OURSELVES TO
SOLVE A PROBLEM
 Questions
we can ask
ourselves when
solving a problem.
 Where do we want to
go?
 What do we know?
 How do we get there?
 Does it make sense?
EXAMPLE: TOOLS FOR PROBLEM
SOLVING

How does asking yourself questions such as
“What do we know?” and “Where do we want to
go?” help you solve problems?
ANSWER: TOOLS FOR PROBLEM
SOLVING

When you ask these questions to yourself, you get
a better overview and understanding of the
problem. (Answers may vary).
CONVERSION FACTOR DEFINITION

Conversion Factor is the ratio of the two parts of
the statement that relates two units.
EQUIVALENCE STATEMENT
Equivalence Statement: equivalent measures
from the English and Metric Systems.
 Example: 2.54 cm = 1 inch

EXAMPLE: CHOOSING CONVERSION
FACTORS

A caretaker of the aquarium needs to find the
dimensions of a tank. The height is 10 feet, the
width is 4 yards, and the length is 96 inches.
Wherefore, her dimensions were 10 x 4 x 96.
Explain the error.
ANSWER: CHOOSING CONVERSION
FACTORS
Answer: 120 x 144 x 96
 You have to convert all the units to satisfy the
problem.
 Convert all units to inches.
 10 feet = 120 inches, 4 yards = 12 feet = 144
inches, and 96 inches.

QUIZ TIME!





A) Is the following conversion to
scientific notation correct? If not
correct the scientific notation.
--0.00217 -> 21.7 x 104
B) Why are prefixes such as
mega, kilo, deci, centi, and mili
needed?
C) Make the indicated
conversions.
-A) 17.0 L to milliliters
-B) 8.25 to inches
-C) 4.21 inches to centimeters
D) What are some questions you
go through your mind as you are
confronted with a problem?
E) Which conversion factor
should be used to solve the
problem?
-7.62 cm x 2.54cm/1inch or
1in/2.54 = ? Inches.
ANSWERS TO QUIZ!





A) 0.00217 -> 2.17 x 10-3
B) Prefixes are needed, because then you know the
quantity of a unit. It also makes an easier time
writing all the zeroes.
C) a) 1700 milliliters
b) 324.8 inches
c) 10.7 centimeters
D) “Why is this problem so hard?” Answers may vary.
E) You should of chose 1 inch/ 2.54 centimeters.
REFERENCE
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