Math

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How do you teach fractions?

Bright colored pictures are important when teaching people who have a visual style of learning. Visual learners can best retain and recall information that they see. The ideal mediums of teaching such people would be vivid posters, flash cards, charts and activity books.\nFood would be a suitable medium for a kinaesthetic learner, as this type of learner best retains information that is demonstrated. Some of the ways they can familiarise themselves with the concept of fractions is by cutting up cake, sandwiches or pizza, and then rearranging the pieces. Animated computer programmes or DVDs can..

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How are decimals rounded to the nearest cent?

For example, the decimal 3.763 when rounded to the nearest cent is 3.76. This is because the decimal can only be rounded to the last cent, not the last fraction of a cent. In a dollar, there are only a hundred cents, so any decimal must be rounded to the most accurate hundredth.\n\nAnother example could start with the decimal 0.7445. To find the nearest cent, someone would start with the number in the last decimal place, which is five. Five, unlike four and lower numbers, must be rounded up. This changes the number in the next decimal place up to a five. So the decimal is now .745. The same ro..

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How many sides does a regular polygon have?

The name "polygon" comes from the Greek words "polus," meaning "many," and "gonia," meaning "corner" or "angle." To be classified as a regular polygon, all of the sides and angles must be congruent. A three-sided regular polygon is called an equilateral triangle. A four-sided regular polygon is called a square. The names of many-sided polygons can be constructed from Greek-derived number names, such as dodecagon for a 12-sided polygon or hexadecagon for a 17-sided polygon. However, past a certain number of sides, mathematicians normally use the abbreviation "n-gon," so a 25-sided polygon is ca..

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How do you round off numbers?

To round off a number determine the last digit to be kept. If the number immediately to the right of it is less than five, then it stays the same. If the digit to the right is equal to or greater than five, add one to digit.\nWhether a number is rounded up or down, the digits following the cutoff point all become zero. This method can be used for whole numbers and decimals.\nEstimating can be useful when working with distances and money amounts.

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What is renaming in math?

Renaming is a concept in mathematics that is taught to elementary-aged school children, usually around grade three or four. It teaches students the importance of breaking three-digit whole numbers down to their tens and ones in order to do a myriad of mathematical computations. Renaming can help children estimate the answer to multiplication and division problems, compute complex subtraction and addition problems, and gain a better understanding of decimal numbers and their uses.

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What are the factors of 87?

A factor is one of two or more numbers that when multiplied together will produce a given product. In this instance, the product is eighty-seven. The only factors for eighty-seven are three and twenty-nine and of course one and eighty-seven.\nIt's important to note though that one is technically not a factor. A factor is either a composite number or a prime number, but due to the fact that the number one is neither composite or prime it cannot be counted as a factor.\nFactors are usually found by creating a factorization tree. In a factorization tree a person has the ability to break down..

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How can you learn algebra in one day?

You should also learn the notations of algebra, such as coefficients. If you see the term 4x, it means that 4 is multiplied by the value of x. Similarly, 4/x means 4 divided by x, and multiplication can also be represented by an asterisk.\nWhen solving equations, follow the order of operations and do the same operation to both sides of the equation to keep it balanced. When possible, perform the expressions in parentheses, then exponents, then multiply or divide, and finally add or subtract.\nFinally, when working with equations, you can only add or subtract like terms. These are terms that ha..

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From what number can you take half and leave nothing?

Another visual number riddle involving the number zero is "Why is the number 9 like a peacock?" The answer is because it is nothing without its tail. If you remove the tail from a number 9, the remaining circle is a zero. Another visual number riddle is "What is the difference between 100 and 1,000?" The answer is zero, because 100 has two zeros and 1,000 has three.

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What is the difference between short and long division?

As far as the mental process of doing division, both methods are the same. The process involves division, multiplication and subtraction. There is a difference in what is actually written on paper when doing the subtraction and the succeeding steps. In long division, subtraction is written the traditional way, then the next digit of the dividend is brought down and written next to the difference or remainder after subtraction. In short division, the remainder is simply written on the top left side of the next digit of the dividend.\nTo illustrate long division:\nDivide 252 by 7.\nWith long div..

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How do you determine the gradient in spherical coordinates?

The gradient is a concept used to generalize a function’s derivative in one dimension to a function in numerous dimensions. The spherical coordinate system is more convenient in the creation of points in three dimensional space. Rho is the measured distance from the origin to the point, theta is the angle from the origin on the x axis to the line connecting the point, and phi is the angle between the point and the point from the z axis. The partial derivatives are then multiplied by specific vectors in the coordinate systems. These vectors are the simple directions from the point of origin t..

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