What is a quotient and dividend?
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When used together, the words "dividend" and "quotient" are two of the numbers that make up a division problem. Show
DividendThe dividend is the number that is being divided in the problem. For example, in the problem 50 / 5 = 10, 50 is the dividend. QuotientThe quotient is the solution to the division problem. In the problem 50 / 5 = 10, 10 is the quotient. DivisorThe divisor is the number the dividend is being divided by. In the problem 50 / 5 = 10, 5 is the divisor. FormulaIf you were to write out a division problem using the words dividend, divisor and quotient, it would look like this: Dividend / Divisor = Quotient. Alternative DefinitionIn the business word, a dividend is a payment made by a corporation to its shareholders. Grade 4 Maths Before we go ahead to learn how the division problems are solved, let’s learn
about its components. The number we divide is known as Divided. 40 ÷ 8 = 5 —> 40 is the Dividend here. The number by which you have to divide another number is called Divisor 34 ÷ 2 = 17 —> 2 is the Divisor here. The Quotient is the answer to the Division. You can also call it the
result. 21 ÷ 3 = 7 —> 7 is the Quotient here. The Remainder is the number that is leftover after the division (means you cannot divide further). The Remainder will always be less than the Divisor. 68 ÷ 13 = 5 Remainder-3 —> 5 is the Quotient and 3 is the Remainder. Let’s have a look at the image below to understand quickly. Hope that clarifies. If you still have any doubt, feel free to comment at the bottom and ask your question. Some Basic Rules You Should Know About Division
Example: 643 ÷ 0 —-> It’s not possible. The math itself is wrong.
Examples: 0 ÷ 45 = 0 0 ÷ 553 = 0
Examples: 321 ÷ 1 = 321 43 ÷ 1 = 43
Examples: 67 ÷ 67 = 1 985 ÷ 985 = 1 How to Solve Divisions? What are the Basics to Understand?Solving division problems depend on how good your multiplication fact is. Here is a video that tells you how you can solve any Division Problems. Watch the video carefully and remember what you learn. Download PDF Dividend Definition
A dividend is a whole number or the number of things that need to be divided into certain equal parts. There are four basic operations on numbers named as addition, subtraction, multiplication, and division. The division is a process of dividing a number into equal parts leaving behind a reminder if the given number cannot be divided into the parts equally. Thus, division with a remainder or Euclidean division contains the following:
In this article, we are going to discuss the definition and formula of dividends. We will also learn the methods of finding dividends. Division with No Remainder:For example, you have 20 candies and you need to divide equally among 4 children. On dividing the candies equally, each one of them gets 5 candies. Consider in this case, the number of candies (i.e, 20) which was to be divided among children is called the dividend, the number of children (i.e, 4) among whom it is to be divided is called the divisor. Remember, the divisor divides the dividend or in other words dividend gets divided by the divisor. The result of the equal distribution, that is the number of candies with each member is called the quotient. Dividend = 20 Divisor = 4 Quotient = 5 Remainder = 0 Division with the Remainder:Consider the same aforementioned example but with a modification. Suppose this time the candies are to be distributed among 3 members, that is 20 candies are to be distributed among three children. The division is shown below: Here, the candies are equally distributed among 3 children such that each having 6 candies but 2 candies are left which cannot be divided into three as a whole. Thus, the remainder of this division is called the remainder. Here, Dividend = 20 Divisor = 3 Quotient = 6 Remainder = 2. Dividend Formula:If the value of divisor, quotient, and remainder is given then we can find dividend divided by the following dividend formula: Dividend = Divisor x Quotient + Remainder. It is just the reverse process of division. In the example above we first divided the dividend by divisor and subtracted the multiple with the dividend. That means, we first divided and then subtracted. Thus, to find the dividend we need to do the opposite, that means we first need to multiply instead of dividing and then add instead of subtracting. Here are dividend examples for you for a better understanding of the concept: Suppose we need to divide 11 into 2 equal whole parts. The resultant will be with a remainder 1. Here, dividend = 11, divisor = 2, quotient = 5 and remainder = 1. As per the dividend formula, Dividend = Divisor x Quotient + Remainder 11 = (2 x 5) + 1 11 = 10 + 1 11 = 11 LHS = RHS. Hence the formula of dividend is
How to Find the Dividend?We can find dividends by using the formula of dividends. Example: A number is divided by 9 giving 6 as a quotient and leaving behind remainder 1. Find the number. Solution: Let the dividend be x x = (9 x 6) + 1 = 54 + 1 = 55 Therefore, the value of the dividend is 55. Important Rules For Division:Rule 1: Whenever we divide 0 by another number, the resultant (quotient) is always zero. Examples: (i) 0 ÷ 4 = 0 (ii) 0 ÷ 12 = 0 (iii) 0 ÷ 25 = 0 (iv) 0 ÷ 314 = 0 (v) 0 ÷ 225 = 0 (vi) 0 ÷ 7135 = 0 Rule 2: Whenever a number is divided by one, the resultant (quotient) is always the number itself. Examples: (i) 28 ÷ 1 = 28 (ii) 4558 ÷ 1 = 4558 (iii) 335 ÷ 1 = 335 (iv) 9387 ÷ 1 = 9387 (v) 6789754 ÷ 1 = 6789754 Rule 3: Whenever a number is divided by itself, the resultant (quotient) is always 1. Examples: (i) 45 ÷ 45 = 1 (ii) 98 ÷ 98 = 1 (iii) 1371 ÷ 1371 = 1 (iv) 5138 ÷ 5138 = 1 (v) 6758 ÷ 6758 = 1 What is quotient and remainder and dividend?So, the number which is getting divided here is called the dividend. The number which divides a given number is the divisor. And the number which we get as a result is known as the quotient. The divisor which does not divide a number completely produces a number, which is referred to as remainder.
What is a quotient with example?Definition of Quotient
The number we obtain when we divide one number by another is the quotient. For example, in 8 ÷ 4 = 2; here, the result of the division is 2, so it is the quotient. 8 is the dividend and 4 is the divisor.
What are the 6 quotients?Check out this list of six different quotients to learn more about them and their purpose.. #1. Intelligence Quotient.. #2. Emotional Intelligence Quotient.. #3. Spiritual Quotient.. #4. Creative Quotient.. #5. Adversity Quotient.. #6. Genius Quotient.. What is a dividend in fractions?For fractions, the dividend is always the numerator and the divisor is always the denominator. So, the dividend for this division problem is 60 and the divisor is 12. Example. 56÷−8=−7.
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