The quotient is the number acquired by splitting one number by another. Because that example, if we divide the number 6 by 3, the an outcome so acquired is 2, which is the quotient. The is the answer from the division process. The quotient have the right to be an essence or a decimal number. For exact departments such as 10 ÷ 5 = 2, we have an integer as a quotient, and for departments such as 12 ÷ 5 = 2.4, the quotient is a decimal. In the department process with decimal quotient as the answer, the decimal part of the quotient is the remainder that the division.

You are watching: What does the quotient rule of exponents say?

Generally, understanding the quotient helps in expertise the size of the dividend contrasted to the divisor. The formula for quotient is dividend by the divisor. A quotient have the right to be bigger than the divisor yet lesser than the dividend. Let us explore and also know an ext about the quotient and the approaches to uncover the quotient.

 1 What is Quotient in Division? 2 Finding Quotient making use of Division 3 Terms regarded Quotient 4 Know around Quotients 5 Division method to find Quotient 6 FAQs on Quotient

The department is the procedure of repetitive subtraction. The number of times of subtraction is equal to the quotient. The department is denoted by a mathematics symbol(÷) which is composed of a quick horizontal line through a dot each above and listed below the line. The quotient is the last answer that this department process. Permit us check out with an instance to recognize the quotient in division. The instance shows department as a an approach of group objects same in groups. The box below contains 16 balls. Let us divide them into 4 equal groups. We have the right to see the there are 4 balls put in every group. The division statement for the snapshot below have the right to be created as 16/4 = 4. Let united state take another example in i beg your pardon we division the bar of coco by having actually 12 pieces into 3 equal parts. By separating the bar that chocolate, we get 4 pieces in every part. The division statement for this bar of coco can be written as 12 ÷ 4 = 3. Below the 3 parts derived are the quotient.

The department is one of the four simple mathematical operations, the other three being Addition, Subtraction, and also Multiplication. In an easy words, department can be characterized as the splitting of a large group right into equal smaller sized groups. The quotient is the an outcome of the division process. On completion of the department process, the quotient is obtained. Department can be introduced by considering objects from our daily life choose slices that a pizza or a bar that chocolate. We can see the a pizza can be split into 4 slices, or a bar of chocolate can be divided and the variety of pieces acquired is the quotient.

Imagine you have actually a chocolate bar through 12 pieces. You want to share it v your friend. Deserve to the bar be separated equally in between the two? will certainly there be any leftover pieces? as you can see here, us have divided this bar of chocolate into 2 parts. Both you and also your girlfriend will gain 6 piece of coco each. Did girlfriend notice? No piece of cacao remains unshared. Hence, there is no remainder. We deserve to write the department statement because that the example over as 12 ÷ 2 = 6. Here each the the numbers in the department can be designated v special terms. Permit us check the following terms carefully related to the quotient.

TermsDescriptionsValues
DividendThe total pieces that space to be shared.12
DivisorThe variety of equal teams that room to be made.2
QuotientThe number of pieces in every group.6
RemainderThe remaining piece that is not part of any group.0

This instance can additionally be mathematically represented as below: Quotient in mathematics can be identified as the result of the division of a number by any divisor. It is the variety of times the divisor is contained in the dividend there is no the remainder gift negative. In the image provided below, divisor 2 is consisted of 6 times in the dividend 12. The quotient is bigger or smaller than the divisor however is always smaller than the dividend. Division an approach follows the use of the divisor and also the dividend to find the quotient. The quotient deserve to be calculated by separating dividend with divisor. Quotient = Dividend ÷ Divisor. This is the most common an approach used come solve troubles on division. Permit us know this through the assist of examples. Permit us settle 435 ÷ 4. The number 435 deserve to be stood for on an abacus with its hundredth, tens, and unit ar respectively.

The following two procedures are beneficial to understand the department process and also to discover the quotient.

Step 1:Take the first digit the the dividend. If this digit is better than or same to the divisor, then divide it by the divisor and write the answer on top. Subtract the an outcome from the digit and write below. Here, the first digit is 4 and also it is same to the divisor. So, 4 ÷ 4 = 1 is written on peak of the bar. The an outcome 4×4 = 1 is subtracted from the digit and also 0 is written below. Next drop the 2nd digit or the number in the ten’s ar beside 0.Step 2: We have the right to see the we have 03 together the result of action 1. Repeat the exact same step of checking if this number is greater or smaller than the divisor. Because 03 is much less than 4, us cannot division this number. Hence, we create a 0 top top the top and drop the digit on the unit ar beside 3. Now, we have 35. As 35 > 4, we can divide this number and also write 35 ÷ 4 = 8 top top top. Subtract the result 4 × 8 = 32 from 35 and also write 3. 3 is known as the remainder and 108 is called the quotient. Verification of department Result: We can quickly verify if our answer is correct or wrong. Together the process of department is the turning back of multiplication, allow us uncover out how we have the right to verify our answer using this information.For example, 6/2 = 3 and remainder is 0. In various other words, 6 = 2 × 3 + 0. This can be expressed as Dividend = Divisor × Quotient + Remainder. Let united state reconsider the example disputed above. Right here the dividend is 435, the divisor is 4, the quotient is 108, and the remainder is 3. Substituting the value in the formula, we obtain 435 = 4 × 108 + 3. Therefore, ours answer is correct.

Example 1: \$4000 is distributed amongst 25 women for the occupational completed by them at a building site. Calculation the amount provided to every woman.

Solution

The total amount is \$4000. The variety of women at work is 25. We have to calculate the amount provided to every woman. To do so, we have to divide 4000 through 25 making use of the long division method and also find the quotient. Each woman will be given \$160. Therefore, the amount offered to each mrs is 160.

Example 2: 66 civilization are invited to a date of birth party. The suppliers need to arrange tables for the invitees. 7 human being can sit around a table. How numerous tables should the service providers arrange for the invitees?

Solution:

The total number of invitees is 66. The number of people who can sit about one table is 7. We division 66 through 7 making use of the long division method and find the quotient. Since 9 is the quotient, we require 9 tables. Through 9 tables, we will certainly still have 3 (which is the remainder) human being without a ar to sit. Hence, the suppliers have to arrange one much more table because that them. The total number of tables to be arranged by the service providers = 9 + 1 = 10. Therefore, the required variety of tables is 10.

Example 3: calculation the number of hours in 2100 minutes.

Solution:

We understand that 1 hour is same to 60 minutes. To uncover the number of hours in 2100 minutes, we need to divide 2100 through 60 and also find the quotient. Therefore, there space 35 hours in 2100 minutes.

Example 4: once the teacher of class 6 asked a question, some students raised their hands. However instead of elevating one hand, every student increased both your hands. If there are 56 hand in total, how countless students raised their hands?

Solution:

The variety of hands increased is 56. To discover the number of students who elevated their hands, we need to divide 56 through 2 and find the quotient, because each student increased both hands. Therefore, 28 students elevated their hands.

Example 5: Emma requirements 3 to apologize to do a huge glass of apologize juice. If she has 51 apples, how numerous glasses that juice can she make?

Solution:

The total number of apples through Emma is 51. The variety of apples required for one glass the juice 3. To find the number of glasses of juice, we divide 51 by 3 and also find the quotient. Emma deserve to make 17 glasses of juice through 51 apples. Therefore, the number of glasses that juice is 17.

See more: What Is The Difference Between Mercurochrome And Merthiolate ? 