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Chapter 2: Problem 3

In the division 24 梅 6 = 4, 6 is called the _________, and 4 is called the _________.

Short Answer

Expert verified
6 is the divisor, and 4 is the quotient.

Step by step solution

01

Identify the Division Components

In a division operation, such as \( a \div b = c \), the number \( a \) is known as the **dividend**. This is the number that is being divided. Here, the dividend is 24.
02

Understanding the Divisor

In the operation \( a \div b = c \), the number \( b \) is referred to as the **divisor**. It is the number by which the dividend is divided. In this case, 6 is the divisor.
03

Understand the Quotient

The result of the division operation, \( c \) in \( a \div b = c \), is called the **quotient**. It tells us how many times the divisor fits into the dividend. In this context, 4 is the quotient.

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Key Concepts

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

Understanding the Dividend
The dividend is a core part of any division problem. Imagine you have a total amount or a whole that you want to split. This total amount is what we call the dividend.
It's the number you start with before dividing it into smaller, equal parts. For instance, if you have 24 apples and you want to split them among a group, the 24 apples are your dividend because they are what you begin with.
  • The dividend represents the total quantity or amount.
  • It's what we are breaking down into smaller pieces.
  • In mathematical terms, it's labeled as 'a' in a function like: \( a \div b = c \).

Remembering what the dividend means helps you understand division at its core: it's all about taking a big piece and identifying how to break it down effectively.
Defining the Divisor
Next up is the divisor. The divisor is quite crucial because it dictates "how many" we'll divide the dividend into. It鈥檚 like asking, "Into how many groups or parts do we want to divide this total amount?"
If you consider the 24 apples again and decide they鈥檒l be split among 6 friends, the 6 represents your divisor. This number tells us that each group (or friend, in this case) should get an equal share.
  • The divisor is the number we divide by.
  • It determines the size or number of groups.
  • In mathematics, it's represented by 'b' in the expression \( a \div b = c \).

Choosing your divisor carefully is key because it influences the size of the result you will get, which is called the quotient.
Exploring the Quotient
Finally, we reach the quotient. The quotient is what you get after dividing. It tells you the size or number of pieces each group will get when you split the dividend by the divisor.
So, when the 24 apples are evenly divided among 6 friends, each friend gets 4 apples. Here, 4 is the quotient, which is the result of the division.
  • The quotient is the answer to the division problem.
  • It shows how many times the divisor fits into the dividend.
  • In the equation \( a \div b = c \), 'c' is your quotient.

Understanding the quotient helps conclude the division process: it shows how everything has been divided equally, completing our operation.

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Most popular questions from this chapter

State which of the following whole numbers are divisible 6, 8, 9, or 10. Some numbers may be divisible by more than one number. $$900$$

Find the quotient 35 梅 0, if it exists.

Use the commutative property of multiplication to rewrite 36 脳 128.

Multiply 24 by 10.

Multiplication is a description of what repeated process?
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