<< Chapter < Page Chapter >> Page >

Then you proceed with the multiplication and/or division and adjust the number of significant figures in the final result according to rule #2 . However, when you adjust the number of significant figures, you should include the number of significant figures fromyour note in the decision process. If that is the smallest number of significant figures of all the factors, you should use it as the number of significant figures forthe final result.

An exercise involving combined operations

Evaluate the following expression and display the final result with the correct number of significant figures.

(169.01 + 3294.6372) * (0.00365 - 29.333)

Please copy the code from Listing 3 into an html file and open it in your browser.

Listing 3 . An exercise involving combined operations.
<!-- File JavaScript03.html --><html><body><script language="JavaScript1.3">//Compute, fix the number of decimal places, // and display the sum of two numbers.var a1 = 169.01 var a2 = 3294.6372var aSum = (a1 + a2).toFixed(2) document.write("aSum = " + aSum + "<br/>") //Compute, fix the number of decimal places,// and display the difference between two // other numbers.var b1 = 0.00356 var b2 = 29.333var bDiff = (b1 - b2).toFixed(3) document.write("bDiff = " + bDiff + "<br/>") //Compute and display the product of the// sum and the difference. var product = aSum * bDiffdocument.write("product = " + product + "<br/>") //Round the product to the correct number// of significant figures based on the least // number of significant figures in the// factors. var final = product.toPrecision(5)document.write("final = " + final + "<br/>") //Display a final line as a hedge against// unidentified coding errors. document.write("The End")</script></body></html>

When you open your html file in your browser, the text shown in Figure 5 should appear in the browser window.

Figure 5 . Screen output from Listing #3.
aSum = 3463.65 bDiff = -29.329product = -101585.39085000001 final = -1.0159e+5 The End

The more stringent procedure

The code in Listing 3 implements the more stringent procedure , not because it is necessarily the correct one. Rather, it is simpler toimplement in a script.

Do addition and subtraction first

Listing 3 begins by adding two numbers, adjusting the precision to the least precise of the two numbers, and saving the result in the variable named aSum .

Then Listing 3 subtracts one number from another number, adjusts the precision to the least precise of the two numbers, and saves the result in thevariable named bDiff .

Display to get information on significant figures

Both results are displayed immediately after they are obtained. This is necessary for me to know which one has the least number of significant figures.I need to know that to be able to properly adjust the number of significant figures in the final product.

In other words, it was necessary for me to write and execute the addition/subtraction portion of the script in order to get the informationrequired to write the remainder of the script.

Do the multiplication

Then Listing 3 multiplies the sum and difference values and displays the result in the default format with far too many significant figures as shown bythe third line of text in Figure 5 .

Finally Listing 3 adjusts the number of significant figures in the product based on the number of significant figures in bDiff and displays the final result with five significant figures in normalized scientific(exponential) notation.

Run the scripts

I encourage you to run the scripts that I have presented in this lesson to confirm that you get the same results. Copy the code for each script into atext file with an extension of html. Then open that file in your browser. Experiment with the code, making changes, and observing the results of your changes. Makecertain that you can explain why your changes behave as they do.

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: GAME 2302-0340 Scientific Notation and Significant Figures
  • File: Game0340.htm
  • Published: 10/12/12
  • Revised: 01/25/16
Disclaimers:

Financial : Although the Connexions site makes it possible for you to download a PDFfile for this module at no charge, and also makes it possible for you to purchase a pre-printed version of the PDF file, you should be aware thatsome of the HTML elements in this module may not translate well into PDF.

I also want you to know that, I receive no financial compensation from the Connexions website even if you purchase the PDF version of the module.

In the past, unknown individuals have copied my modules from cnx.org, converted them to Kindle books, and placed them for sale on Amazon.comshowing me as the author. I neither receive compensation for those sales nor do I know who does receive compensation. If you purchase such a book, pleasebe aware that it is a copy of a module that is freely available on cnx.org and that it was made and published without my prior knowledge.

Affiliation : I am a professor of Computer Information Technology at Austin Community College in Austin, TX.

-end-

Questions & Answers

what is mutation
Janga Reply
what is a cell
Sifune Reply
how is urine form
Sifune
what is antagonism?
mahase Reply
classification of plants, gymnosperm features.
Linsy Reply
what is the features of gymnosperm
Linsy
how many types of solid did we have
Samuel Reply
what is an ionic bond
Samuel
What is Atoms
Daprince Reply
what is fallopian tube
Merolyn
what is bladder
Merolyn
what's bulbourethral gland
Eduek Reply
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
onuoha Reply
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
what is heart
Konadu Reply
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
Pelagie Reply
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
what are pathogens
Don Reply
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ. The term pathogen came into use in the 1880s.[1][2
Zainab
A virus
Commander
Definition of respiration
Muhsin Reply
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
Achiri Reply
in the mouth
EZEKIEL
what are the functions of follicle stimulating harmones?
Rashima Reply
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
what's biology?
Egbodo Reply
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Game 2302 - mathematical applications for game development' conversation and receive update notifications?

Ask