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Chapter 3: Problem 2

Perform the subtractions. \(6-9\)

Short Answer

Expert verified
Answer: -3

Step by step solution

01

Identify the numbers to subtract

Here, we have two numbers: \(6\) and \(9\). We need to subtract \(9\) from \(6\).
02

Perform the subtraction

As we are subtracting a larger number from a smaller one, we can expect a negative result. Subtract \(9\) from \(6\): \(6-9=-3\)
03

Write the answer

After performing the subtraction, we get the result: \(6-9=-3\)

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Key Concepts

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

Understanding Subtraction
Subtraction is an essential arithmetic operation where one value is taken away from another. It is the opposite of addition and is represented by the minus sign (-). By nature, subtraction finds the difference between two numbers.
For instance, when you subtract 9 from 6, you need to consider the concept of difference in value. Here is how subtraction is used:
  • The first number (6) is known as the minuend.
  • The second number (9) is the subtrahend, or the number that is taken away.
  • The result of the process is called the difference.

In this exercise, the result is -3, indicating that when you remove 9 from 6, you are left with -3.
Exploring Integers
Integers are a fundamental building block in mathematics, extending the idea of whole numbers. They include positive numbers, negative numbers, and zero. The set of integers can be represented as \(...,-3, -2, -1, 0, 1, 2, 3,...\). Integers are useful when dealing with operations like subtraction because they allow for results that can be both positive and negative.
When you have an integer operation like 6 - 9, the idea is to understand how integers behave:
  • In this case, 6 is a positive integer, and 9 is a larger positive integer.
  • Subtracting a larger integer from a smaller one results in a negative integer, exemplified by -3.

Negative results are a natural extension of integer operations, demonstrating how subtraction can affect values.
Basic Arithmetic Operations
Arithmetic operations are the basic functions used in mathematics to denote calculations. They include addition, subtraction, multiplication, and division. Subtraction specifically is utilized to calculate the difference between numbers.
By integrating subtraction into the broad theme of arithmetic, you recognize that:
  • Each operation has its inverse, for subtraction, it is addition.
  • These operations are interconnected. Understanding one deepens comprehension of the others.
To perform an arithmetic operation like 6 - 9, understanding these connections is vital. When you subtract, especially with integers, knowing how it fits into the bigger picture of arithmetic helps reinforce these concepts.

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Most popular questions from this chapter

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