A comparison of two quantities by division is known as a ratio. A ratio is expressed as a number of one item compared to a corresponding number of another item.
Know MoreAccording to PurpleMath, there are three common notations to express ratios. One method expresses the ratio in words; for example, if there are 35 people at a party, of which 15 are men and 20 are women, then the ratio of men to women is "15 to 20." This can also be expressed in odds notation as "15:20" or in fractional notation as "15/20." As the total number increases or decreases by a certain scale factor, the items on both sides of the ratio increase or decrease by the same scale factor. For example, if the number of total people at the party were multiplied by a factor of two and there were 70 people at the party, the ratio of men to women would be 2*15 : 2*20, or 30:40. Ratios are used in setting up proportions, which are equations used to calculate the amount of one item if the other item is known.
Learn more about ArithmeticTeaching division to young children is best done through hands-on activities. Young students typically have the most success after seeing the concept in action through the use of physical objects and after learning basic multiplication.
Full Answer >The commonly used division symbol "/" is called a "solidus" or "virgule," while an "obelus" appears like a hyphen with dots above and below it. Another division notation is the "vinculum," which is a horizontal line that is sometimes referred to as a "fractional bar."
Full Answer >To perform long division, start by writing the number you want to divide. Make a division box over the number, and write the number you are dividing by the number by to the left of the box. Proceed digit by digit, dividing the outside number by the inside.
Full Answer >Long division is a method of dividing two numbers or polynomials by finding the digit of the quotient one at a time, working from highest place to lowest. Hence, it is not possible to calculate non-terminating quotients using this method, and remainders often result.
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