The two rules for rounding numbers are
Round your numbers only once (in one step), and
Round 5's to the nearest even digit -- up or down as needed.
Below I explain why.
In school they usually teach you to round all 5's up to the next digit. For example, 1.45 is rounded to 1.5, 1.65 is rounded to 1.7, 3.225 is rounded to 3.23, etc.
This is wrong because it introduces what we call "systematic error": an error consistently wrong in one direction. In rounding all 5's up, you end up with an average that is too high. ("Random error" goes high or low of the true value randomly, so the
average is close to the real value.)
The reason is that 5 is directly in the middle of the digits we round, so we must round it up half the time, and down half the time.
To make this more clear, look at the digits we round to another number: 1, 2, 3, 4 we round down. 6, 7, 8, 9 we round up. (0 we just...
If you sometimes find that Photoshop is not responding to keyboard shortcuts, press the return key if you're on a Mac or the enter key if you're on a PC. You may have the cursor active in a panel or in the tool option bar and pressing the return key gets you
The most basic math that students will have most problems on will be Algebra. Algebra is a whole new language to some and native to others. Knowing and Understanding what Algebra is will be the difference between success or hardship farther down the
Hi, name is Thang, and I think algebra is the stepping stone for student to succeed in any math class. If students have basic knowledge how to recognize and utilize what they know about algebra, then they will do well in other math classes.
However, if the students can manipulates and applies their understanding
of algebra, then they will succeed and go farther in their mathematics' skills.
As tutors, we can and should guide our students to learn the arts and crafts of mathematics (as well as other subjects) so it can be like their native tongue.
You have one hour with a college prep specialist who can help make your admissions/scholarship essays award winning. How can you maximize your time? Here are five tips to get the most out of your time:
Come Prepared. - Bring the essay prompts from each of your colleges. Bring a sample personal statement and resume. Be sure to have any information necessary to complete an admissions essay, to include your GPA, test scores, and any major
Know Thyself - Always know your stats. During this time, knowing your GPA and SAT score is as important as knowing your name and birthdate. Also, know (and have a list of) your interests, hobbies, favorite subjects, etc. Have an idea
of at least 3 possible majors and careers you would like to explore.
Be on Time - There is a lot to cover! The better prepared and earlier you are, the more likely we are to get a lot done. Also, I tend to take...
Hello Wzyant Academic Community and welcome to my blog section! This is where I am available for
online chit-chat, educational assistance free of charge,
business discussions & arrangements, and more! I am always eager to help and love to talk turkey with all realms of academia, so don't be shy and feel free to ask many questions!!!
For selecting finely detailed images (trees with sky) the select color range tool is the first stop. Once you have that at its best, move to your toolbox and the selection tools available there. Refine edge works well for soft edged selections, hair, and more
uniformly shaped objects like the smoother edged trees.
When you are compositing an image onto another, it makes sense to copy the mask to the new file and make refinements on the mask so you get a real time look at how your manipulations are working.
Select Color Range: Select, Color Range
1) Use the eyedropper to sample the colors you want to select. You can also make a selection and inverse it if it makes sense.
2) You can add to or subtract from your selection with the corresponding eye droppers. Keyboard shortcuts are Alt and Shift. Add or remove certain color ranges.
3) There are many ways to preview your selection, toggle through to the one that makes it easiest...
Beginning on Jan. 1, 2015, the standard mileage rates for the use of a car, van, pickup or panel truck are:
57.5 cents per mile for business miles driven, up from 56 cents in 2014
23 cents per mile driven for medical or moving purposes, down half a cent from 2014
14 cents per mile driven in service of charitable organizations
These optional standard mileage rates are used to calculate the deductible costs of operating an automobile for business, charitable, medical or moving purposes. The standard mileage rate for business is based on an annual study of the fixed and variable costs
of operating an automobile, including depreciation, insurance, repairs, tires, maintenance, gas and oil. The rate for medical and moving purposes is based on the variable costs, such as gas and oil. The charitable rate is set by law. Taxpayers always have
the option of claiming deductions based on the actual costs of using a vehicle rather than the standard mileage rates.
If you are a low-to-moderate income worker, you can take steps now to save two ways for the same amount. With the saver's credit you can save for your retirement and save on your taxes with a special tax credit. Here are five tips you should know about
1. Save for retirement. The formal name of the saver's credit is the retirement savings contributions credit. You may be able to claim this tax credit in addition to any other tax savings that also apply. The saver's credit helps offset part
of the first $2,000 you voluntarily save for your retirement. This includes amounts you contribute to IRAs, 401(k) plans and similar workplace plans.
2. Save on taxes. The saver's credit can increase your refund or reduce the tax you owe. The maximum credit is $1,000, or $2,000 for married couples. The credit you receive is often much less, due in part because of the deductions and other
credits you may claim.
3. Income limits. Income limits vary based...
Federal income tax refunds totaling $1 billion may be waiting for an estimated one million taxpayers who did not file a federal income tax return for 2011, the Internal Revenue Service announced today. To collect the money, these taxpayers must file a
2011 tax return with the IRS no later than Wednesday, April 15, 2015.
"Time is running out for people who didn’t file a 2011 federal income tax return to claim their refund," said IRS Commissioner John Koskinen. "People could be missing out on a substantial refund, especially students or part-time workers. Some people may not
have filed because they didn’t make much money, but they may still be entitled to a refund.”
The IRS estimates half of the potential refunds for 2011 are more than $698.
In cases where a tax return was not filed, the law provides most taxpayers with a three-year window of opportunity for claiming a refund. For 2011 tax returns, the window closes on April 15, 2015. If...
Proposal for Economics Class
Proposal for Microeconomics Finance Class
By Scott Mines
What I am proposing is a financial class that deals with today’s issues and world problems that affect the currencies, interest rates, and commodity markets on a daily basis. The course will analyze what really moves the economy daily and how U.S banks and
institutions are paramount in keeping the United States a world leader in finance. The class would consist of students understanding how and why various financial institutions trade in exotic instruments to generate a profit and keep the financial markets
balanced. I have a comprehensive background on Wall Street of 21 years trading government bonds, interest rate swaps, forward rate agreements, bond derivatives, credit default swaps as well as a plethora of other trading vehicles that your average person would
never know takes place each day. I think students would really enjoy a class of this format. I...
Bio Cognitive Learning by Jean Piaget
Why not now???
Jean Piaget ( August 1896 – September 1980) was a Swiss developmental psychologist and philosopher known for his epidemiological studies with children. His theory of cognitive development and epidemiological view are together called genetic epistemology.".
Piaget placed great importance on the education of children. As the Director of the International Bureau of Education, he declared in 1934 that "only education is capable of saving our societies from possible collapse, whether violent, or gradual."
Jean Piaget was "the great pioneer of the constructionist theory of knowing. However, his ideas did not become widely popularized until the 1960's. This then led to the emergence of the study of development as a major sub-discipline in psychology.
In this stage, Piaget believed that the process of thinking and the intellectual development could be regarded as an extension...
Number One: Getting to know the student through light conversation by asking things such as: "Do you like school?"
"What is your favorite subject?" "Who is your favorite teacher?" "Do you have a best friend?" and similar questions.
Number Two: Showing the student a small art or craft project or a photograph I have recently taken or worked on and talking briefly with them about it -- such as a piece of wood found in the yard that resembles an animal and is painted to look like that
Number Three: Drawing a picture with the student about a story we have read. Then posting their drawing of the story along with mine on the wall by our tutoring table.
Number Four: Playing cards or shooting dice to add or multiply the numbers on the cards or on the dice.
Number Five: Letting my pet cat sit on our tutoring table during the...
Tonight I met with one of my students, who is in 6th grade, and we are working together to tackle proper essay structure.
This can be a tough issue for students, especially the really creative ones. These are the students that are FULL of ideas, and all of them are equally good, so why can't they just put them all into one essay or story? Trust me, it's not easy to kill your
darlings, but it must be done (until you get a blog, of course).
In general, all essays, or even stories should be structured in a similar fashion: an introduction, a body, and a conclusion. Or, a beginning, a middle, and an end.
The introduction will include the visuals, the details to get the reader completely hooked into the story. If this is an analytical essay, the introduction will include the argument, or the point you're trying to prove.
Next comes the body, or the middle of the essay/story. This will typically be the...
Did you pay for college in 2014? If you did it can mean tax savings on your federal tax return. There are two education credits that can help you with the cost of higher education. The credits may reduce the amount of tax you owe on your tax return. Here
are some important facts you should know about education tax credits.
American Opportunity Tax Credit:
You may be able to claim up to $2,500 per eligible student.
The credit applies to the first four years at an eligible college or vocational school.
It reduces the amount of tax you owe. If the credit reduces your tax to less than zero, you may receive up to $1,000 as a refund.
It is available for students earning a degree or other recognized credential.
The credit applies to students going to school at least half-time for at least one academic period that started during the tax year
Costs that apply to the credit include the cost of tuition, books and required fees and supplies.
I remember taking some courses in my early years of undergrad that were pretty awful. The teaching wasn't that bad, and I was definitely awake for them (two key points to getting decent grades)
but the subject matter just wasn't something I could ever see myself using. Sound familiar?
Interestingly though, after changing my attitude, I saw that I can indeed use most things learned in most classes, if I am looking for the beneficial parts of each subject. I'm not saying that if you hate science you'll want to start studying the makeup
of dirt all of a sudden, but I can definitely assure you that there is a way to dislike things less.
So...how? We have to find ways to connect what math, science, English, or the like teaches us (even if it's under the surface) to what we love in life.
I love children with cancer. You can see more about that
here. And even though I had to write that on the front of a lot of notebooks...
Greetings! My name is Jason S. and I am a current student at Reedley College in Reedley, California(Go Figure!) I am an English major and enjoy reading,writing and cracking jokes. I can be sarcastic and time and I have a dry sense of humor. There are times
I go overboard on my grammar correction but usually it doesn't bother me so I guess you could say I'm not a full time Grammar Nazi :-). I like playing video games and watching movies and T.V. shows. I am currently on season 2 of Marvel's Agents of Shield and
I am growing more fond of it with every episode. I come from a family of teachers so I have unique viewpoints and learning strategies that have been passed down by my mother and aunts. My dad was a former desktop support employee at Adobe and has passed on
some technological magic :). I am a friendly, outgoing and optimistic person and I am a tutor not only to pay the rent, but to impact children's lives just like all my favorite teachers and tutors did.
The art of tutoring involves just 2 things: how fast you can identify a problem and how well you can figure out how to teach a problem.
The largest problem a student will face, is lack of motivation. Students run out of motivation for many reasons: lack of rewards, tasks are too challenging, the pace of the classroom is too fast, or plain failure to achieve.
As a tutor, my number one goal is diagnostics: not only diagnostic that effect learning goals, but also to find out what is zapping your child's natural curiosity and want for success.
Tutoring without redressing a motivation or confidence problem is throwing coal onto a dying fire.... you have to fan the flames!
Hello. If you are reading this, then you most likely have some questions about school and education, and how to improve in the academic world. I really can help you do that. Like anything, school requires certain "bottom line" results-
it seems unfair to me that we tell our students to "try harder" and to "put more effort in to your work," because in real life, some people DO try hard, and DO put a great deal of effort into their work- and yet, if they don't get results, they don't succeed.
What any student needs comes down to the tools to achieve academic success. I can give you simple tools- such as how to take notes, how to read a textbook, how to study for a test. I can also be subject specific- I am able to tutor
a student in a number of different subject areas, and I work with students with learning differences as well as students without any diagnosed learning disabilities. Please contact me if you have any questions.
To help you edit a document for spelling, do NOT trust spell-checker. I told our fourth-grade daughter the same some years back when she was preparing a paper on the Yaqui Indian Nation. An aquaculture, they catch lots of fish. Her paper ended up saying
they most enjoyed eating "white surgeons."
Spell-checker missed the irony, of course, and she would've submitted the cannibalistic sentence were it not for Daddy's vigilant proofread.
To avoid the same pitfall, it is very useful to check for spelling by going backwards through your document from end to beginning. Avoid reading the sentences in reverse order: literally read the document backwards word-by-word.
This helps you avoid reading quickly through sentences you've written yourself and accidentally skipping over speling misteaks. (Ha ha!)
I received this problem from a friend, who was having trouble while helping her nephew with it. It turned out to be quite a doozy, so I'm presenting it as today's Math Journey to show how the process we used last time works even with a gnarly, complicated
Solve using the Addition Method:
3x – 3y + 4z = – 15
3x + y – 3z = – 8
23x – y – 4z = 0
As we discussed last month, the basic idea behind solving a system of equations is to use one equation to solve another for a specific variable, and to do that enough times that you can eventually rewrite one of those equations with only one variable in it,
and solve from there. The way I learned to do this is the “substitution” method, where you solve one equation for one variable, plug the expression in for that variable in a second equation, et cetera until you're down to one variable. The addition method
works a little differently, but it's the same basic goal: eliminate enough of...