Which of the following statements explains correctly the concept of division?
Understand the Problem
The question is asking which of the provided statements accurately describes the concept of division. It presents multiple choice options, each claiming a different relationship between division and other mathematical operations.
Answer
Division is a repeated subtraction and the inverse of multiplication.
Answer for screen readers
The correct statement is: Division is a repeated subtraction and the inverse of multiplication.
Steps to Solve
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Understanding Division
Division can be interpreted in terms of its relationship to other operations. Specifically, division is often described as the inverse of multiplication. -
Evaluate Each Statement
Let's analyze the provided options:-
First Option: "Division is a repeated multiplication and the inverse of subtraction."
This is incorrect. Division relates to multiplication, not subtraction. -
Second Option: "Division is a repeated subtraction and the inverse of multiplication."
This is also incorrect. While it's true that division is sometimes described as repeated subtraction, it is not the inverse of multiplication; it's the inverse of multiplication. -
Third Option: "Division is a repeated subtraction and the inverse of addition."
This is incorrect since division is not related to addition in this way.
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Identify the Correct Option
The most accurate description of division among the options should reflect its true mathematical relationship, which is that division is the inverse of multiplication and sometimes understood as repeated subtraction.
The correct statement is: Division is a repeated subtraction and the inverse of multiplication.
More Information
Division is fundamental in arithmetic, representing the process of distributing a number into equal parts. It's crucial to understand how division interacts with multiplication, as it helps in solving equations and understanding mathematical relationships.
Tips
- Confusing the relationship of division with subtraction instead of identifying it with multiplication.
- Overlooking that while division can be represented as repeated subtraction, its true inverse relationship is with multiplication.
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