Math

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What are some math trivia and facts?

One famous piece of mathematical trivia is known, according to Business Insider, as the Monty Hall problem. This scenario involves a game show host offering the contestant a choice of three doors with a prize behind only one of them. After the contestant picks, but before the door is opened, one of the unchosen doors opens to reveal that the prize was not behind it. The host then gives the option to switch doors. Statistically, a contestant who switches doors wins twice as often as one who doesn't.\nAnother odd fact deals with the concept of infinity. There exist exactly the same quantity..

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What is a 90-degree angle?

Ninety-degree angles are found in both geometry and trigonometry. A small square in the angle's corner symbolizes it as 90 degrees. A circle contains 360 degrees, and a right angle is 90 of that 360 degrees. It is one-quarter of the full circle, which gives a 90-degree angle its L shape. A 90-degree angle can be rotated in any direction and still have an internal angle of 90 degrees. If a triangle has a 90-degree angle, it is known as a right triangle.

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What does a negative divided by a negative equal?

Likewise, two negative numbers multiplied together always yield a positive number. For example, -2 x -2 = 4. Two positive numbers multiplied together are also positive, as is a positive number divided by a positive number.\nA positive number multiplied by a negative number is always negative. For instance, -2 x 2 = -4. Negative numbers divided by positive numbers and positive numbers divided by negative numbers are always negative. For example, -4 / 2 = -2, and 4 / -2 = -2.

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Which shapes have rotational symmetry?

An object is said to have rotational symmetry if it looks that same after being turned slightly. One shape that has full rotational symmetry is a circle. Regardless of how a circle is turned, it always appears the same.\nFor other objects, the amount of rotational symmetry varies. A star with five equally-spaced legs has five-fold rotational symmetry. The degree of rotation can be found by dividing 360 degrees by the folds of rotational symmetry. Therefore, a star has 72 degrees of rotational symmetry.\nExamples of rotational symmetry are found in everyday life. Returning to the example of a s..

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What is the line over a repeating decimal called?

The vinculum has a second function in mathematics. It is placed over a series of algebraic terms to indicate that the terms should be considered as a group and is used in the same way that parenthesis might be used in an algebra problem. \n\n\n\nWhen used with Roman numerals, the symbol is used to indicate that a numeral should be multiplied by 1,000. The vinculum was not used in Roman times, but it was used with Roman numerals during the Middle Ages.

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What are some strategies to improve mental math ability?

People can practice their mental addition by trying to calculate a running total of the prices for the items they are buying at the grocery store. The prices do not need to be exact but can be rounded to the nearest whole number. Multiplication abilities can be improved while pumping gas by multiplying the number of gallons that the car holds by the price per gallon.\nShoppers can practice division at stores when they are purchasing an item that comes in several sizes, which helps them find the best deal. Dividing the size of the item by its cost accomplishes this. Percentages can be practiced..

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What are the multiples of 4?

Integers in multiplication can be referred to as either factors or multiples depending on their use in an equation. For example, 4*8=32, so 32 is a multiple of both 4 and 8. However, 32 is not a multiple of 4 and 8. Four and 8, therefore, are factors of 32, meaning that they can be multiplied together to achieve that result. A number is only considered the multiple of another if it can be multiplied by an integer to achieve that other number. Therefore, even though 4*0.25=1, 4 is not a multiple of 1 because 0.25 is not an integer.\nAll of the multiples of 4 can be defined as 4*a, where a is a ..

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What percentage of our lives are spent working?

Work forms a major part of adult life, and some people equate happiness with the number of hours spent at the office. Money earned from work helps to put food on the table and pay for shelter and other essentials.\nApart from work, sleep forms an important component of human life. The early years of life are spent in education and the acquisition of skills.\nThe period after retirement is usually short and depends on life expectancy, which varies in different parts of the world.

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What are the factors of 51?

A factor is a whole number that divides into another number without leaving a remainder. A number with just two factors, 1 and itself, is called a prime number. Numbers that have more than two factors are called composite numbers. Fifty-one can be written as 51 = 1 x 51 or 51 = 3 x 17. Therefore, 51 has four factors – 1, 3, 17 and 51 – since they can factorize 51.

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What is a "digit" in math?

Digits are distinguished from numerals in that numerals are the generalized symbols, such as 2, 3 or 4, that are combined to represent numbers, whereas digits are these symbols as used in a specific number. The symbols 1, 2, 3 and so on are unique to the Arabic numeral system; other systems, such as the Roman numeral or Hebrew numeral system, use letters from their respective alphabets. The same number in different numbering systems may have a different quantity of digits. For example, in base 10, five has one digit, but in binary the number five has three digits.

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