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How are math problems solved?

An approach to solving math problems that is recommended, typically at the secondary-education level, is to begin by making sure that the problem is fully understood and that it can be well visualized. The next step is to recall, or look up, all of the relevant rules that apply to the problem. When deciding upon the best approach to obtain the answer, every attempt should be made to disqualify the solution method before finally implementing it. When a solution has passed a rigorous qualification test, it can then be applied to the problem.In contrast to the traditional approaches to teaching ..

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What is interactive graph paper?

Students and teachers using interactive graph paper can place coordinates by clicking and can drag from those points to produce lines. Both simple and complex geometric shapes can be created in this fashion. Interactive graph paper may allow the user to zoom in and out, either increasing or decreasing the number of usable coordinates available. Interactive graph paper may also allow the user to determine the size and placement of each axis.

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What is the square root of 25?

A square root is either positive or negative, but only positive numbers have real square roots. Two positive numbers multiplied together yield a positive number, and two negative numbers multiplied together yield a positive number as well. Knowing several square roots of numbers helps to estimate with reasonable accuracy the square roots that are not whole numbers. For instance, knowing that the square root of 16 is four and the square root of 25 is five helps establish the square root of 20 at a little less than half the difference between four and five.

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Who invented exponential functions?

Although Napier and Burgi are generally credited with the invention of exponential functions, what they actually created is quite different from modern exponential functions. Also known as logarithms, exponential functions are used in many different disciplines, from astronomy to chemistry. Napier developed his logarithm theory based upon algebra, while Burgi developed his based on geometry. The commonly known exponential function is defined as a base number with a raised exponent, also known as a "power."

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What are some tips for teaching division?

Most young students are introduced to division with a term called sharing. By making a division lesson a game, it keeps the student engaged and interested through any difficulties he may have. The teacher can present the students with small items and a set of glasses. Keeping an equation in mind, the teacher instructs the student to divide the correct number of items into the glasses. The teacher can explain equations orally before writing them down to give the student a better understanding of how division operates and looks.\nStudents should already have a familiarity with the concept of mul..

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What does compatible mean in math?

Often, people need to compute math in their heads, and using compatible numbers is a convenient method to produce desired results. Compatible numbers can be easily manipulated mentally. For example, the numbers five and twenty-five are compatible, since dividing five into twenty-five is a problem that can easily be solved in one's head (the answer being five). Another example of compatible numbers is four thousand and ten. Multiplying or dividing four thousand by ten is another easy mental calculation – all that needs to be done is add (for multiplication) or drop (for division) a zero ..

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What are some examples of fractions in every day life?

When telling time, people use the terms quarter past, half past and quarter till. This is because telling time uses the number of minutes past the current hour over the number 60, the total number of minutes in an hour. For example, 36 minutes past the hour is the same as 36 over 60, which reduces to the fraction three-fifths.\nWhen baking cakes, people must use fractional values of ingredients. For example, a cup of milk is a fraction of the milk that comes from a whole gallon. Bakers use salt in fractional measurements, such as one quarter or a half teaspoon. Bakers also use fractions for me..

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What does "Fibonacci" mean in math?

Examples of the Fibonacci sequence occur throughout nature. Bee family trees assume the shape of a Fibonacci sequence. Furthermore, many plants develop in patterns that follow the Fibonacci sequence, from pine cones to pineapples to the seeds on flower heads. One interesting property of the Fibonacci sequence is its relationship to the golden ratio.

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What are parallel lines?

For a visual representation of parallel lines, small arrow marks are drawn on lines that are parallel. If the plane depicting the parallel lines consists of two sets of parallel lines, the second is represented by two arrow marks on each line.\nPairs of angles can be created by crossing parallel lines with another line segment, called a transversal. This creates eight angles. These angles include vertical, corresponding, alternate interior and alternate exterior angles.

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What does a fraction calculator do?

Some fraction calculators such as those at Calculator.net and AlgebraHelp.com have a user input the numerators and denominators of the two fractions in different text boxes. The user specifies what type of operation to perform on the two fractions, such as adding, subtracting, multiplying or dividing. The fraction calculator derives the result in simplest terms.\nSome fraction calculators also show the work involved in calculating the result of the operation between the two fractions. For example, AlgebraHelp.com, when adding fractions together, first calculates the common denominator, convert..

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