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Physical Benefits of Sports
So they say "Sports can keep you physically healthy". But, do you know why? In this section, we bring you the bolts and nuts of the physical benefits that sports brought about.
Sports can improve the 5 components of fitness, namely: Strength, speed, skill, stamina, and suppleness. Sports can burn calories. Sports can affect your appetite. The above topics will be covered in-depth in the following passages. To get started, just click on the links below.
'Fitness' can be defined as the ability to carry out effectively and efficiently some particular physical or activity. 'Getting fitter' means advancing to a higher standard of fitness and being 'very fit' means possessing a standard of fitness better than most people. A sound standard of fitness is conductive to a productive life and enhances the possibility of reaching your full potential. You do not have to be trained to the level of a champion athlete to appreciate the benefits of fitness. To students, like all of us, fitness could mean a energetic state that helps us to archive. More technically speaking, 'fitness ' consists of five components, namely: stamina, strength, speed, skill and suppleness.
Whether people gain or lose weight depends on the balance between energy consumed in food and the energy used in living. This is measured in 'calories'. A calorie is defined as a unit of work or energy equating to the amount of heat required to raise the temperature of one gram of water one degree centigrade. When the body is in calorie balance the energy intake and output are equal and the body weight remains constant. Eat more calories than you use and weight will be gained; use more than you eat and weight will be lost. Being active is not only good for the heart and circulation, it can use up many calories, which results in weight being controlled.
People vary in the amount of energy they use when doing similar activities. The figures on the table on the next page give a general outline as to the amount of energy used daily and may help you calculate a personal daily diet/exercise programme.
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Learning algebra is a little like learning another language. In fact, algebra is a simple language, used to create mathematical models of real-world situations and to handle problems that we can't solve using just arithmetic. Rather than using words, algebra uses symbols to make statements about things. In algebra, we often use letters to represent numbers.
Since algebra uses the same symbols as arithmetic for adding, subtracting, multiplying and dividing, you're already familiar with the basic vocabulary.
In this lesson, you'll learn some important new vocabulary words, and you'll see how to translate from plain English to the "language" of algebra.
The first step in learning to "speak algebra" is learning the definitions of the most commonly used words.
Algebraic Expressions | Variables | Coefficients | Constants | Real Numbers | Rational Numbers | Irrational Numbers | Translating Words into Expressions
An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols, such as plus and minus signs. It's only a phrase, not the whole sentence, so it doesn't include an equal sign.
3x2 + 2y + 7xy + 5
In an algebraic expression, terms are the elements separated by the plus or minus signs. This example has four terms, 3x2, 2y, 7xy, and 5. Terms may consist of variables and coefficients, or constants.
In algebraic expressions, letters represent variables. These letters are actually numbers in disguise. In this expression, the variables are x and y. We call these letters "variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression.
Coefficients are the number part of the terms with variables. In 3x2 + 2y + 7xy + 5, the coefficient of the first term is 3. The coefficient of the second term is 2, and the coefficient of the third term is 7.
If a term consists of only variables, its coefficient is 1.
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value. In the expression 7x2 + 3xy + 8 the constant term is "8."
In algebra, we work with the set of real numbers, which we can model using a number line.
Real numbers describe real-world quantities such as amounts, distances, age, temperature, and so on. A real number can be an integer, a fraction, or a decimal. They can also be either rational or irrational. Numbers that are not "real" are called imaginary. Imaginary numbers are used by mathematicians to describe numbers that cannot be found on the number line. They are a more complex subject than we will work with here.
We call the set of real integers and fractions "rational numbers." Rational comes from the word "ratio" because a rational number can always be written as the ratio, or quotient, of two integers.
Examples of rational numbers
The fraction ½ is the ratio of 1 to 2.
Since three can be expressed as three over one, or the ratio of 3 to one, it is also a rational number.
The number "0.57" is also a rational number, as it can be written as a fraction.
Some real numbers can't be expressed as a quotient of two integers. We call these numbers "irrational numbers". The decimal form of an irrational number is a non-repeating and non-terminating decimal number. For example, you are probably familiar with the number called "pi". This irrational number is so important that we give it a name and a special symbol!
Pi cannot be written as a quotient of two integers, and its decimal form goes on forever and never repeats.
Translating Words into Algebra Language
Here are some statements in English. Just below each statement is its translation in algebra.
the sum of three times a number and eight
3x + 8
The words "the sum of" tell us we need a plus sign because we're going to add three times a number to eight. The words "three times" tell us the first term is a number multiplied by three.
In this expression, we don't need a multiplication sign or parenthesis. Phrases like "a number" or "the number" tell us our expression has an unknown quantity, called a variable. In algebra, we use letters to represent variables.
the product of a number and the same number less 3
x(x – 3)
The words "the product of" tell us we're going to multiply a number times the number less 3. In this case, we'll use parentheses to represent the multiplication. The words "less 3" tell us to subtract three from the unknown number.
a number divided by the same number less five
The words "divided by" tell us we're going to divide a number by the difference of the number and 5. In this case, we'll use a fraction to represent the division. The words "less 5" tell us we need a minus sign because we're going to subtract five.
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