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Chapter 1: Problem 16

Fill in the blanks. The answer to a division problem is called a __________.

Short Answer

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Quotient

Step by step solution

01

Understanding division

In division, there are three main terms used to describe the parts of the operation. These are: the dividend, which is the number being divided, the divisor, which is the number by which the dividend is being divided, and finally, the one we're interested in, which is the result of the division.
02

Filling in the blank

The answer to a division problem, the result that we get after dividing one number by another, is called a quotient. So, the quotient is the term used in this context to fill in the blank.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Quotient
In division, the term "quotient" refers to the result you obtain after dividing one number by another. Essentially, it answers the question of how many times the divisor can be contained within the dividend. The quotient can be a whole number, a fraction, or a decimal. For example, if you divide 10 by 2, the quotient is 5, since 2 fits into 10 exactly five times. It is important to remember that the quotient represents the solution or answer in any division problem.
  • The quotient is the outcome of a division.
  • It can be a whole number, a fraction, or even a decimal.
  • Understanding the quotient is crucial for solving division problems correctly.
Dividend
The dividend is a fundamental part of the division process. It is the number you want to divide up or distribute equally. To put it simply, the dividend is the number inside the division bracket or above the division line. In a division sentence like \(15 \div 3 = 5\), 15 is the dividend. It represents the total amount to be divided among smaller parts. The process of dividing helps us figure out how much goes to each part, with the resulting quotient giving us that exact allocation. Remember:
  • The dividend is the total amount to divide.
  • It is the number that is being split by the divisor.
  • Knowing the dividend helps you understand how the division process is structured.
Divisor
In any division problem, the divisor plays a crucial role. It is the number you use to divide the dividend. Think of the divisor as the size of each group you are creating from the dividend. For instance, in the expression \(18 \div 3 = 6\), 3 is the divisor. The divisor answers the question of "how large is each group" or "how many are in one part." This influences how the overall quantity (dividend) is broken into parts (quotient). Let's summarize:
  • The divisor is the number you divide by.
  • It determines the size or quantity of each part in the division process.
  • Understanding the divisor helps solve division problems more effectively.

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