Yes, although you may not realize it now, later you'll recognize that Algebra is a very important tool that can be of great help to you in figuring out money related problems (the answers to which are not always obvious). I'm choosing money as an example because everyone recognizes the importance of money and wants to be smart enough not to be cheated out of it. Trust me on this. The less math you know, the greater the chances of your getting ripped off by those who know more math than you do.
When we are young, we tend to believe that if we can add, subtract, multiply, and divide, (the four basic operations), we can safely deal with any money situation we'll encounter in life. Not true. Not safely anyway.
For example, let say you were charged tax on an item you bought, and you later determined that the item should not have been taxed. How would you know how much money should be reimbursed to you? Let's assume you paid $1.05 for an item and the tax in your state is 5 percent. Many students know that a 5 percent tax is equal to 5 cents on the dollar and can quickly recognize that the item cost $1.00 and the tax was 5 cents, so from the total cost of $1.05, they should be reimbursed 5 cents.
But what if your total cost for the item purchased was $157.50 and that included a 5 percent tax. How much of the $157.50 should be returned to you (that is how much of $157.50 is tax)? I can almost guarantee you that most kids who have not studied Algegbra will say that $157.50 x .05 equals $7.88, so they should be reimbursed that amount. Not so, the correct tax amount is $7.50. Actually, the cost of the item purchased was $150.00 and the 5 percent tax was $7.50 for a combined total of $157.50. With knowledge of Algebra the student could have figured it out correctly.
Algebra allows you to take spoken language questions and convert them into mathematically expressed questions that can be solved (or, in other words, answered). It's a very valuable tool in life. Centuries ago, Algebra was a secret language known as the language of truth. They called it the language of truth because when used correctly to answer questions, it always revealed a true answer. Only select people understood the secret language. What they would do is write down a question in their spoken language (Greek, Arabic, whatever) and then convert the sentence into a mathematically (Algebraically) expressed sentence. Once converted to a mathematical sentence, then they could solve it following the rules of Algebra and get the true answer to their original question. It was spooky stuff, but it worked, and the secret was very carefully guarded.
Today it's no longer guarded as a great secret. Anyone who wants to learn it can do so in school. If you think of it that way, you might find it tempting to want to learn it. That's what made me want to learn it. I wanted to know what this secret truth language was, and how it worked.
Incidentally, if you take $150 and multiply it by 5 percent, you'll get $7.50 as the tax amount. Try it (150 x .05 = 7.50). Then add the $7.50 to the $150 and you'll get $157.50.
If the ancient people who knew the secret language of Algebra were faced with the problem I wrote about above, they might have proceded as indicated below:
1.) They would want to write a sentence (question) about the problem (in their language) that would need to be answered. At first this would be a difficult task, but as they practiced doing this, it would become easier and easier to do. You'll experience the same thing when you try to learn Algebra, but with a little practice and help from your teacher, you'll soon be a wiz at it and be very happy you got interested in this stuff because you'll then be able to figure things out that other people can't.
2.) They would eventually reason that 100% of the price for the item purchased was a number. (They don't know what that number is, but we know that the number is $150 and that the customer paid 100% of the $150 because there wasn't any discount involved. In other words they didn't get it for 20% off or whatever--they paid full price or 100% of the price shown).
3.) They would also reason that 5% of the price number was another number which was equal to the tax. (They don't know the tax number, but we know it to be 5% of the price number ($150) and that it is equal to $7.50 because 5% of $150 is $7.50.)
3.) Eventually they would realize that the number $157.50 is equal to 100% of the price of the item, and another 5% of the price of the item. (Now we know that the 100% number is $150 and that the 5% number is $7.50, but they don't. They only know that they are dealing with 100% and 5% of some number, and that those two percentages [or 105%] are equal to $157.50.)
4.) They eventually come up with the sentence (question) "What number, when multiplied by 105%, is equal to $157.50?
5. Using the rules of Algebra (which are easy and you'll learn them in Algebra) they write the mathematical version of their question. The mathematical sentence looks like this:
1.05n = 157.50
In the above mathematical sentence, the 1.05 stands for one-hundred and five percent. The n stands for the number we are looking for. The equal sign means that the secretly coded stuff (1.05n) on the left of it is equal to the stuff on the right of it (157.50).
The rules of Algebra (which you'll learn) require you to divide both sides of the equation by 1.05 to solve it. When you divide 1.05n by 1.05 you are left with n. (You'll learn about how that works too.) And then when you divide 157.50 by 1.05, you'll get 150. So, you're now left with "n = 150." And that means that $150 is the amount (number) that was the price of the item.
To get the tax amount you only need to subtract the price of $150 from the total cost of $157.50, and you'll get $7.50.
My above explanation might not make Algebra sound like it's easy, but that's because you're new at it, and anything new tends to sound like it might be difficlt. With a little help from your teacher and some practice, understanding this stuff and benefiting from how much smarter it makes you is well worth the little bit of effort you have to make at first. After that, you'll never look back and probably want to lear more and more of this secret stuff that smart people know.
Hope I made you curious and tempted you to want to learn Algebra. If you try this and make an effort to learn it, you'll never regret it.
2006-11-13 03:57:03
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answer #1
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answered by Anonymous
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YES !!! Algebra is a branch of mathematics concerning the study of structure, relation and quantity.
Together with geometry, analysis, and number theory, algebra is one of the several main branches of mathematics. Elementary algebra is often part of the curriculum in secondary education and provides an introduction to the basic ideas of algebra, including effects of adding and multiplying numbers, the concept of variable, definition of polynomials, along with factorization and determining their roots.
Algebra is much broader than elementary algebra and can be generalized. In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.
2006-11-13 01:35:15
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answer #2
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answered by shantanu_1975 2
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