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 ArithmeticMatrix division means multiplying one matrix by the inverse of another matrix. Matrix A "divided by" matrix B is equivalent to matrix A multiplied by the inverse of matrix B. Mathematicians usually use the term "multiplying by the inverse" rather than "dividing" when working with matrices.
Full Answer >Teaching 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 >In long division, each step of the solution is written down, whereas in short division, the steps are performed mentally and are not written down. The long division method is also often used when the problem has a divisor with two or more digits. Short division is mostly used with division problems having one-digit divisors.
Full Answer >The symbol representing long division does not actually have a name. It is usually simply referred to as a "long division symbol" or a "division bracket."
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