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Chapter 4: Problem 18

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

Short Answer

Expert verified
The answer to a division problem is called the 'quotient'.

Step by step solution

01

Understand division

Division is one of the four basic operations in arithmetic, alongside addition, subtraction, and multiplication. In a division operation, we are essentially dividing a number (dividend) by another number (divisor).
02

Identify the term for result in division

The name for the answer or result in a division operation is called the 'quotient'. It's what you get when you divide one number by another.

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Key Concepts

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

Quotient
When we talk about the division process in arithmetic, the term quotient is central. It represents the answer or result of this operation. Just like how results are called sums in addition, differences in subtraction, and products in multiplication, quotient is what we use for division. For example, if you have 10 divided by 2, the quotient is 5. It is the number you obtain when the dividend is split into equal parts that the divisor specifies.

In the given exercise, the blank space should be filled with the word 'quotient', reflecting that it is the term used to describe the outcome of a division problem.
Basic Operations
Division is one of the fundamental pillars of arithmetic, classified as one of the four basic operations. These operations, which also include addition, subtraction, and multiplication, are the cornerstone of mathematics and are used in solving a broad spectrum of mathematical problems. Understanding each operation and how to perform it is critical for students. Division itself can be seen as repeated subtraction or the inverse operation of multiplication. It allows us to figure out how many times the divisor fits into the dividend or how many equal parts a number can be split into.
Dividend
The dividend is an essential component of division. It's the number you want to divide up; the number that is being distributed into parts. In the equation \( \dfrac{dividend}{divisor} = quotient \), the dividend represents how much of something you have at the start - think of it as a whole pie that you're planning to slice up. For instance, if you have 20 apples and you want to divide them equally among 4 people, the number of apples (20) is your dividend. It's important to remember that in division, the dividend is the quantity being divided.
Divisor
Conversely, the divisor is the number by which you are dividing the dividend. So if you continue with the analogy of slicing a pie, the divisor is the number of slices you're aiming to create. In the equation \( \dfrac{dividend}{divisor} = quotient \), the divisor determines how many times the dividend will be split or how many parts will result. Using the earlier apple example, the number of people (4) you want to share the apples with is the divisor. It's crucial to understand that the divisor is not how many apples each person gets - that's the quotient - but rather the number of groups the dividend is being separated into.

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Most popular questions from this chapter

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