Triple the quotient of 5 and 6

Submitted by Kelli L. We will assign your question to a Numerade educator to answer. Three more than the quotient of a number and 5 is 6. Use the variable y for the unknown number.

Number and Algebra : Module 23 Year : 7. PDF Version of module. Algebra is a fascinating and essential part of mathematics. It provides the written language in which mathematical ideas are described. Many parts of mathematics are initiated by finding patterns and relating to different quantities.

Triple the quotient of 5 and 6

Quotient is the answer obtained when we divide one number by another. For example, if we divide the number 6 by 3, we get the result as 2, which is the quotient. The quotient can be an integer or a decimal number. A quotient can be larger than the divisor but it is always smaller than the dividend. Let us explore and know more about the quotient and the methods to find the quotient. Quotient is the final answer that we get when we divide a number. For example, there are 15 balls that need to be divided equally into 3 groups. Here, 5 is the quotient. This means that in each group there will be 5 balls. Quotient, in mathematics, can be defined as the result of the division of a number by any divisor. It is the number of times the divisor is contained in the dividend. The following figure shows the statement of division which marks the divisor , the dividend and the quotient. The divisor, 2 is contained 6 times in the dividend, The quotient can be larger or smaller than the divisor but it is always smaller than the dividend. The quotient is obtained after the process of division is completed.

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In a numerical expression, the result of the expression is constant it does not change. In an algebraic expression, the result of the expression can change, based on the value that replaces the variable n. Algebraic Expressions:. Unlike equations, algebraic expressions do not contain an equal sign. The word " coefficient " refers to a number that is multiplied times a variable. The number "out front" of the variable.

Triple the quotient of 5 and 6

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Here are some of the different notations used from the Middle Ages onwards together with their modern form. Let n be the number of dots in each row. Multiplication Tables. Euclid circa BC dealt with algebra in a geometric way and algebraic problems are solved without using algebraic notation of any form. With Cuemath, you will learn visually and be surprised by the outcomes. The quotient can be a whole number or a decimal number. Brackets fulfill the same role in algebra as they do in arithmetic. Log in. Suggested Textbook. Before the introduction and development of algebra, these patterns and relationships had to be expressed in words. Calculate the amount given to each worker. Show that the sum of the first n odd numbers is n 2. True, when we divide a number and if it does not get divided completely, we are left with a remainder. Because the letters are simply stand-ins for numbers, arithmetic is carried out exactly as it is with numbers. Consider another example.

Mathematics is often referred to as being another language. With this idea in mind, let's take a look at how to translate words from English into mathematics, in this case algebra. When translating mathematical expressions written in word form verbal expressions , you need to know how to represent the unknown quantities and the operations assigned to the expressions.

In AD the Indian mathematician Brahmagupta, in his treatise Brahma Sputa Siddhanta , worked with quadratic equations and determined rules for solving linear and quadratic equations. Upgrade to add a comment. Here, each of the numbers in the division can be designated with special terms. Privacy Policy. We will assign your question to a Numerade educator to answer. We have been following this convention earlier in this module. Quotient and Remainder 6. Reviewed By Expert Numerade Educators. It is conventional to write the number first. This proves that the answer is correct. The values of the pronumerals will therefore be restricted to the whole numbers and non-negative fractions. This problem has been solved! You may or may not know what the value of x is although in this example we do know that x is a whole number. Multiply the number y ou thought of by 2 and subtract 5. Therefore, the estimated quotient is 4 in this case.