The document discusses the rules for entering mathematical expressions into calculators, apps, and software using the BASIC input format. It explains that expressions from books cannot be directly typed in, and covers the syntax and semantics of the BASIC format. The format uses symbols like +, -, *, /, and ^ for operations and follows the order of operations like PEMDAS. The document provides examples of syntax errors and discusses how semantics are the rules for interpreting the meaning of syntactically correct expressions.
Explore the IF (with AND and OR) function, the VLOOKUP function, selected Date, Statistical, Financial, and Mathematical functions, frequently overlooked Text functions, and more from real-life worksheets examples.
More Excel tips, tutorials and training: http://www.lynda.com/Excel-training-tutorials/192-0.html
I created this document because I wanted to start saving some of the common formulas that I have managed to repeatedly re-use and sometimes its difficult to remember them when i really need them so this tracker helps me remember them and will help others use the functions that are commonly used to save time within our daily jobs to manipulate data effectively.
10 Excel Formulas that will help you in any JobHitesh Biyani
These are some basic and moderate excel formulas but are widely used in a corporate world be it any industry. A must read for freshers looking to seek a job with profiles in Banking, Insurance, BPO / KPO (Data support), etc
Explore the IF (with AND and OR) function, the VLOOKUP function, selected Date, Statistical, Financial, and Mathematical functions, frequently overlooked Text functions, and more from real-life worksheets examples.
More Excel tips, tutorials and training: http://www.lynda.com/Excel-training-tutorials/192-0.html
I created this document because I wanted to start saving some of the common formulas that I have managed to repeatedly re-use and sometimes its difficult to remember them when i really need them so this tracker helps me remember them and will help others use the functions that are commonly used to save time within our daily jobs to manipulate data effectively.
10 Excel Formulas that will help you in any JobHitesh Biyani
These are some basic and moderate excel formulas but are widely used in a corporate world be it any industry. A must read for freshers looking to seek a job with profiles in Banking, Insurance, BPO / KPO (Data support), etc
MS Excel is one of the most popular data analytics software in the world. There are many uses of MS Excel. Here in this PPT we are going to share with you the widely used top 10 Excel formula to perform hundreds of tasks in excel. Watch the PPT till the end to explore all these formulas.
A brief, language-no-specific introduction to programming concepts - some ways to approach a programming problem, and general characteristics of programming languages (with a bit of a slant towards scripting languages).
Learn to anchor cells, move around Excel without a mouse, functions to summarize data, PivotTables, filters, sorting, charts, and macros in this course to take your Excel skills to the next level. Include information on functions: countif, sumif, vlookup, index, match, left, right, mid, len, trim, find, now, date, int
MS Excel is one of the most popular data analytics software in the world. There are many uses of MS Excel. Here in this PPT we are going to share with you the widely used top 10 Excel formula to perform hundreds of tasks in excel. Watch the PPT till the end to explore all these formulas.
A brief, language-no-specific introduction to programming concepts - some ways to approach a programming problem, and general characteristics of programming languages (with a bit of a slant towards scripting languages).
Learn to anchor cells, move around Excel without a mouse, functions to summarize data, PivotTables, filters, sorting, charts, and macros in this course to take your Excel skills to the next level. Include information on functions: countif, sumif, vlookup, index, match, left, right, mid, len, trim, find, now, date, int
I gave a talk to year 8 students on the applicability of programming in maths. The talk introduced to them how computers interpreted and executed programs with an example in BASIC performing simple arithmetic operations and an example in Python calculating the average of a list of numbers.
Learn about the basics of programming and the steps in becoming a good programmer.
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The purpose of this document is to guide you step by step in exploring the various basic features of Scilab for a user who has never used numerical computation software.
This is the Complete course of C Programming Language for Beginners. All Topics of C programming Language are covered in this single power point presentation.
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Hello, I need help with the following assignmentThis assignment w.pdfnamarta88
Hello, I need help with the following assignment:
This assignment will give you practice in manipulating lists of data stored in arrays.
1 General Instructions
Read the general instructions on preparing and submitting assignments.
Read the Counting Words problem description below. Implement the histogram function to
complete the desired program.
You must use dynamically allocated arrays for this purpose.
For your initial implementation, use ordered insertion to keep the words in order and ordered
sequential search when looking for words. Note that the array utility functions from the lecture
notes are available to you as art of the provided code.
Although we are counting words in this program, the general pattern of counting occurrences of
things is a common analysis step in laboratory work, statistical studies, and business tasks. The
results of such a program are often fed into other programs for further processing and/or display.
Such results are often displayed as histograms. The CSV output format is a common “data
exchange” format recognized by many programs. Almost all spreadsheets, for example, will read
CSV files.
When you have the program running, execute it using a short paragraph of text as an input,
saving the output in a file ending with a “.csv” extension. Run a spreadsheet program (e.g.,
Microsoft Excel). You should be able to load your .csv file directly into the spreadsheet.
Try displaying your results as a histogram. In Excel (2007), for example, select the two columns
of data, choose “Sort” from the Data tab and sort your data on the numeric column. Then, with
the two sorted columns of data still selected, go to the Insert tab and select a 2D Bar chart. Save
your spreadsheet in Excel (.xsl) format. You will turn this in later.
As documents get larger, the total number of words increases far, far faster than does the number
of distinct words. Our personal vocabularies are only so large, after all. In fact, most writers
unconsciously limit themselves to writing with a small fraction of their personal “reading”
vocabularies. So most words in a large document are bound to be repeats. That means that, for
this application, the speed of the functions for searching for words is probably more important
than the speed of the functions for inserting new words into the array. We do many more
searches than insertions.
Try running your program on one of the large text files provided in the assignment directory.
Time it to see how long it takes. Now replace all uses of ordered sequential search by calls to the
binary search function. Run it on the same output, timing it again. You should see a substantial
improvement.
Use the button below to submit your completed program and your saved spreadsheet.
2 Problem Description
2.1 Counting Words
Develop a program to prepare a list of all words occurring in a plain-text document, counting
how many times each word occurs. In determining whether two words are different, punctuation
(non-alphabetic.
2. Calculator Input
2 5
Mathematics expressions such 8 or 3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software.
3. Calculator Input
2 5
Mathematics expressions such 8 or
3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC.
4. Calculator Input
2 5
Mathematics expressions such 8 or
3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
5. Calculator Input
2 5
Mathematics expressions such 8 or
3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
In the BASIC–format, addition and subtraction are “+” and “–”,
6. Calculator Input
2 5
Mathematics expressions such 8 or
3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
In the BASIC–format, addition and subtraction are “+” and “–”,
multiplication operation is “ * ” (or shift + 8),
7. Calculator Input
2 5
Mathematics expressions such 8 or
3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
In the BASIC–format, addition and subtraction are “+” and “–”,
multiplication operation is “ * ” (or shift + 8),
the division operation is “ / ”,
8. Calculator Input
2 5
Mathematics expressions such 8 or
3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
In the BASIC–format, addition and subtraction are “+” and “–”,
multiplication operation is “ * ” (or shift + 8),
the division operation is “ / ”,
and the power operation is “ ^ ” (or shift + 6).
9. Calculator Input
2 5
Mathematics expressions such 8 or3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
In the BASIC–format, addition and subtraction are “+” and “–”,
multiplication operation is “ * ” (or shift + 8),
the division operation is “ / ”,
and the power operation is “ ^ ” (or shift + 6).
So the BASIC–input for 32 is “3^2” and for 4 x 32, it’s “4*3^2”.
10. Calculator Input
2 5
Mathematics expressions such 8 or3
3 + x2 that appeared in
books can’t be keyboarded directly “as is” into calculators,
smart phone apps or computer software. While there is no
standard input method that would work for all of them, most
keyboard mathematics–input methods are similar to the
BASIC–input method which is used in the computer language
BASIC. For example, the book–format 3 is “3/4” in the
4
BASIC format. (All calculator–inputs through out this course
will be in “quoted boldface”.)
In the BASIC–format, addition and subtraction are “+” and “–”,
multiplication operation is “ * ” (or shift + 8),
the division operation is “ / ”,
and the power operation is “ ^ ” (or shift + 6).
So the BASIC–input for 32 is “3^2” and for 4 x 32, it’s “4*3^2”.
Finally, we also use “+" and “–” as signs however this may or
may not be the case depending on the calculator or software.
12. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
13. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?).
14. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
15. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
16. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
17. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
Missing a quantity Missing a “ ) ”
for the subtraction
operation
18. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
Missing a quantity Missing a “ ) ” Missing a quantity
for the subtraction for the multiplication
operation operation
19. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
Missing a quantity Missing a “ ) ” Missing a quantity
for the subtraction for the multiplication
operation operation
Following are some of the common syntax errors.
20. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
Missing a quantity Missing a “ ) ” Missing a quantity
for the subtraction for the multiplication
operation operation
Following are some of the common syntax errors.
* It take two quantities to perform +, --, *, / and ^.
21. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
Missing a quantity Missing a “ ) ” Missing a quantity
for the subtraction for the multiplication
operation operation
Following are some of the common syntax errors.
* It take two quantities to perform +, --, *, / and ^.
Inputs such as “6*”, “23 /”, or “7^” generate error–messages.
22. Power Equations and Calculator Input
Syntax
The word “syntax” refers to the rules for recognizable input.
If we enter “5 + ” in the calculator, press “enter”, we get an
error message (5 plus what?). Such an error where the input
is incomplete or gibberish is called a “syntax error”.
Example A. Find the syntax error in each of the following
expressions.
a. (6+(3–)) b. (6–4(0–(–1)) c. 1.3*2.1/(4.3*)^3
Missing a quantity Missing a “ ) ” Missing a quantity
for the subtraction for the multiplication
operation operation
Following are some of the common syntax errors.
* It take two quantities to perform +, --, *, / and ^.
Inputs such as “6*”, “23/”, or “7^” generate error–messages.
Note that “+6” is OK but “6+” generates an error.
23. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it.
24. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
25. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
26. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message.
27. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message. However another type of mistake that occurs
often for which there is no warning and is difficult to catch are
the “miscommunications “.
28. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message. However another type of mistake that occurs
often for which there is no warning and is difficult to catch are
the “miscommunications “.
Semantics
29. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message. However another type of mistake that occurs
often for which there is no warning and is difficult to catch are
the “miscommunications “.
Semantics
Semantics are the rules for interpreting the "meaning“ of
syntactically correct expressions.
30. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message. However another type of mistake that occurs
often for which there is no warning and is difficult to catch are
the “miscommunications “.
Semantics
Semantics are the rules for interpreting the "meaning“ of
syntactically correct expressions. The semantics for BASIC–
format inputs are the same as the rules for order of operations
PEMDAS.
31. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message. However another type of mistake that occurs
often for which there is no warning and is difficult to catch are
the “miscommunications “.
Semantics
Semantics are the rules for interpreting the "meaning“ of
syntactically correct expressions. The semantics for BASIC–
format inputs are the same as the rules for order of operations
PEMDAS. A semantic input mistake is a mistake where we
mean to execute one set of calculations without realizing that
the input is interpreted differently by the machine.
32. Power Equations and Calculator Input
* For every left parentheses “( ” opened , there must be a
right parentheses “)” that closes it. Hence the number of “( ”
should be the same the number of “)” in the inputs.
* Symbols such as [ ] or { } may have different meanings.
The machine always tell us when we made a syntax error with
an error message. However another type of mistake that occurs
often for which there is no warning and is difficult to catch are
the “miscommunications “.
Semantics
Semantics are the rules for interpreting the "meaning“ of
syntactically correct expressions. The semantics for BASIC–
format inputs are the same as the rules for order of operations
PEMDAS. A semantic input mistake is a mistake where we
mean to execute one set of calculations without realizing that
the input is interpreted differently by the machine. Here are
some examples of similar but different inputs.
33. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
c. Find “–2–4^(1/2)/2” with and without the calculator.
d. Write the BASIC input of 2–√4 . Find the answer.
2
34. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 .
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
c. Find “–2–4^(1/2)/2” with and without the calculator.
d. Write the BASIC input of 2–√4 . Find the answer.
2
35. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 . The input yields –64/3 = –21.33…
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
c. Find “–2–4^(1/2)/2” with and without the calculator.
d. Write the BASIC input of 2–√4 . Find the answer.
2
36. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 . The input yields –64/3 = –21.33…
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
2
The BASIC input of –8 is “–8^(2/3)”.
3
c. Find “–2–4^(1/2)/2” with and without the calculator.
d. Write the BASIC input of 2–√4 . Find the answer.
2
37. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 . The input yields –64/3 = –21.33…
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
2
The BASIC input of –8 is “–8^(2/3)”. The answer is –4.
3
c. Find “–2–4^(1/2)/2” with and without the calculator.
The input yields –3 because it’s –2 –√4 .
2
d. Write the BASIC input of 2–√4 . Find the answer.
2
38. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 . The input yields –64/3 = –21.33…
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
2
The BASIC input of –8 is “–8^(2/3)”. The answer is –4.
3
c. Find “–2–4^(1/2)/2” with and without the calculator.
The input yields –3 because it’s –2 –√4 .
2
d. Write the BASIC input of 2–√4 . Find the answer.
2
The correct BASIC format is “(–2–4^(1/2))/2”.
39. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 . The input yields –64/3 = –21.33…
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
2
The BASIC input of –8 is “–8^(2/3)”. The answer is –4.
3
c. Find “–2–4^(1/2)/2” with and without the calculator.
The input yields –3 because it’s –2 –√4 .
2
d. Write the BASIC input of 2–√4 . Find the answer.
2
The correct BASIC format is “(–2–4^(1/2))/2”. The answer is 0.
40. Power Equations and Calculator Input
Example B.
a. Find “–8^2/3” with and without the calculator .
–43 = –64 . The input yields –64/3 = –21.33…
It’s 3 3
2
b. Write –8 in the BASIC input, find the answer with and
3
without the calculator.
2
The BASIC input of –8 is “–8^(2/3)”. The answer is –4.
3
c. Find “–2–4^(1/2)/2” with and without the calculator.
The input yields –3 because it’s –2 –√4 .
2
d. Write the BASIC input of 2–√4 . Find the answer.
2
The correct BASIC format is “(–2–4^(1/2))/2”. The answer is 0.
When in doubt, insert ( )’s to specify the order of
operations.
41. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations.
42. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
43. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
44. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits.
45. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
46. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
47. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
48. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
Example C. Solve for x and find the approximate solution.
a. 3x2/3 – 7 = 1
49. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
Example C. Solve for x and find the approximate solution.
a. 3x2/3 – 7 = 1
3x2/3 = 8
50. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
Example C. Solve for x and find the approximate solution.
a. 3x2/3 – 7 = 1
3x2/3 = 8
x2/3 = 8/3
51. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
Example C. Solve for x and find the approximate solution.
a. 3x2/3 – 7 = 1
3x2/3 = 8
x2/3 = 8/3
x = (8/3) 3/2
52. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
Example C. Solve for x and find the approximate solution.
a. 3x2/3 – 7 = 1
3x2/3 = 8
x2/3 = 8/3
x = (8/3) 3/2 The exact answer
53. Power Equations and Calculator Input
We use calculators to obtain approximate decimal answers for
irrational solutions of power equations. The accuracy of the
approximation required depends on the application.
For example, if the problem is about money, then we round off
at to the penny, i.e. the 2nd position after the decimal point.
However all other decimal answers in this course are rounded
off to three significant digits. To obtain this,
start from the 1st nonzero digit,
count and round off at the third digit.
For example, 12.35 ≈ 12.4
0.001234 ≈ 0.00123.
Example C. Solve for x and find the approximate solution.
a. 3x2/3 – 7 = 1
3x2/3 = 8
x2/3 = 8/3
x = (8/3) 3/2 The exact answer
≈ 4.35 The approx. answer
62. Power Equations and Calculator Input
Exercise A. Find the syntax error in each of the following
expressions.
1. 4*–3 2. 4*(–3] 3. 2(4–(3(5)) 4. 7–(3)/*5
5. 2^(–3)+(1^2(/6)) 6. 2^(–3)(1^2+/(6))
Exercise B. Translate each of the following book
expressions into the BASIC–format. Do not calculate.
5 4 +3 4
4+3 8. 4+3 9. 5 10. 5(6)
7. 5
3+4 6
11. 5(6) 12. 3(4+5) 13. 5+2 + 1 14. 7 + 6–3
5(6–7) 5–8
5 –1 6 +1
15. 5+3 16. 5+2
6 –2 7 + 6–3
5 5(8)
63. Power Equations and Calculator Input
Exercise C. Translate each of the following BASIC–expression
into the book–format. Calculate the answer by hand and
confirm it with a calculator.
17. 4*2–3/2 – 5 18. 4*2–3/2–(5) 19. 4*(2–3/2)–5
20. 4*2–3/(2–5) 21. 4*(2–3)/2–5 22. 4*(2–3/2–5)
Exercise D. Translate each of the following BASIC–expression
into the book–format. Calculate part a. by hand and the part b
by a calculator.
23. a. 4/2*3 b. 1.234/3.24*0.11
24. a. 3+8/(–2*2) b. 3.73–4.83/(3.54–2.12)
25. a. –2^2+6/3 b. –2.212+6.33/0.64
26. a. (–2)^2+6/3 b. (–2.21)2–6.33/3.64
27. a. (–2)^2*2/(–2)^2(–2) b. (–2.84)3*2/4.43–3
28. a. (–2^2)*2/(–2)^2(2)4 b. –3.432 /3.413*0.83
29. a. 4(–2)^2–2/(–2)^–3*2 b. 4.05*22–6.32/3.413–6
30. a. (–2)^((2*2)/–2)^2*2 b. 16.7/2.102–4.933/1.04