EXERCISE 2.1. Give a name for the number `3' that would be appropriate in each situation: a) three candy bars must be equally divided among three people b) three candy bars must be equally divided among six people c) you need three cups of our, but only have a one-quarter cup measure
EXERCISE 2.1. Give a name for the number `3' that would be appropriate in each situation: a) three candy bars must be equally divided among three people b) three candy bars must be equally divided among six people c) you need three cups of our, but only have a one-quarter cup measure
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![100% I 12:38 PM
4G
[Template] MODUL...
"expression' in math
books
different entities. They don't overlap. If something is an expression,
then it's not a sentence. If something is a sentence, then it's not an
expression. Be careful about this.
There are many types of expressions in mathematics, because
there are many types of mathematical objects to be discussed.
Some types of expressions are listed below. Don't worry about
words you don't recognize: in this book, we'll primarily concern
ourselves only with numbers and sets.
NUMBERS
What types of
expressions are there?
SETS
MATRICES
FUNCTIONS
VECTORS
ORDERED PAIRS
As mentioned earlier, a key idea in mathematics is that
expressions have lots of different names. Even more importantly,
the name we use depends on what we are doing with the
expression. For example, the number 1 goes by all the
following names:
expressions have lots
of different names;
the name we use
2 – 1
depends on what
we are doing
with the expression
3
The name +- is appropriate, for example, if we have to divide a
candy bar evenly between two people.
The name
+ is appropriate if we need to measure one cup
of our, but only have a one-third cup measure.
EXERCISE 2.1.
Give a name for the number `3' that would be appropriate in each
situation:
a) three candy bars must be equally divided among three people
b) three candy bars must be equally divided among six people
c) you need three cups of our, but only have a one-quarter cup
Scan me!
measure
d) you need three cups of our, but only have a one-half cup measure
The most common problem type involving an expression is:
common type of
problem involving
expressions
SIMPLIFY: (Some expression)
To simplify an expression means to get a different name for the
expression, that in some way is simpler.
GE 4: MATHEMATICS IN THE MODERN WORLD | s. 2020
Page 10 of 13
The notion of 'simpler', however, can have di_erent meanings:
FEWER SYMBOLS: Often, `simpler' means using fewer
symbols. For example, 3 + 1 + 5' and `9' are both names for
the same number, but ` 9'uses fewer symbols.
FEWER OPERATIONS: Sometimes, `simpler' means using
fewer operations (an `operation' is something like addition or
multiplication). For example, 3+3+3+3+3' and ` 5•3 are both
names for the same number, but the latter uses fewer
operations. (Recall that the centered dot denotes
multiplication.) There are four additions used in
*3 + 3 + 3 + 3 + 3', but only one multiplication used in
'5•3'.
BETTER SUITED FOR CURRENT USE: In some cases,
`simpler' means better suited for the current use. For
What does 'simpler'
mean?
1foot
example, we'll see in a future section that the name
is a great name for the number `1' if we need to convert units
12inches
of inches to units of feet.
• PREFERRED STYLE/FORMAT: Finally, `simpler' often
means in a preferred style or format. For example, (two-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c32f2f2-ee48-4532-912c-aed1105d8e07%2F76b7961f-506c-4f07-b59e-b8d15d805a82%2F3xwsbbd_processed.png&w=3840&q=75)
Transcribed Image Text:100% I 12:38 PM
4G
[Template] MODUL...
"expression' in math
books
different entities. They don't overlap. If something is an expression,
then it's not a sentence. If something is a sentence, then it's not an
expression. Be careful about this.
There are many types of expressions in mathematics, because
there are many types of mathematical objects to be discussed.
Some types of expressions are listed below. Don't worry about
words you don't recognize: in this book, we'll primarily concern
ourselves only with numbers and sets.
NUMBERS
What types of
expressions are there?
SETS
MATRICES
FUNCTIONS
VECTORS
ORDERED PAIRS
As mentioned earlier, a key idea in mathematics is that
expressions have lots of different names. Even more importantly,
the name we use depends on what we are doing with the
expression. For example, the number 1 goes by all the
following names:
expressions have lots
of different names;
the name we use
2 – 1
depends on what
we are doing
with the expression
3
The name +- is appropriate, for example, if we have to divide a
candy bar evenly between two people.
The name
+ is appropriate if we need to measure one cup
of our, but only have a one-third cup measure.
EXERCISE 2.1.
Give a name for the number `3' that would be appropriate in each
situation:
a) three candy bars must be equally divided among three people
b) three candy bars must be equally divided among six people
c) you need three cups of our, but only have a one-quarter cup
Scan me!
measure
d) you need three cups of our, but only have a one-half cup measure
The most common problem type involving an expression is:
common type of
problem involving
expressions
SIMPLIFY: (Some expression)
To simplify an expression means to get a different name for the
expression, that in some way is simpler.
GE 4: MATHEMATICS IN THE MODERN WORLD | s. 2020
Page 10 of 13
The notion of 'simpler', however, can have di_erent meanings:
FEWER SYMBOLS: Often, `simpler' means using fewer
symbols. For example, 3 + 1 + 5' and `9' are both names for
the same number, but ` 9'uses fewer symbols.
FEWER OPERATIONS: Sometimes, `simpler' means using
fewer operations (an `operation' is something like addition or
multiplication). For example, 3+3+3+3+3' and ` 5•3 are both
names for the same number, but the latter uses fewer
operations. (Recall that the centered dot denotes
multiplication.) There are four additions used in
*3 + 3 + 3 + 3 + 3', but only one multiplication used in
'5•3'.
BETTER SUITED FOR CURRENT USE: In some cases,
`simpler' means better suited for the current use. For
What does 'simpler'
mean?
1foot
example, we'll see in a future section that the name
is a great name for the number `1' if we need to convert units
12inches
of inches to units of feet.
• PREFERRED STYLE/FORMAT: Finally, `simpler' often
means in a preferred style or format. For example, (two-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
