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Chapter 0: Problem 24

Find each sum or difference. $$ 3-7 $$

Short Answer

Expert verified
-4

Step by step solution

01

Identify the Terms

Identify the terms in the expression. Here, the terms are 3 and 7.
02

Determine the Operation

Determine the operation that needs to be performed. In this case, it is subtraction, as indicated by the minus sign.
03

Apply the Operation

Subtract the second term from the first term: \(3 - 7\).
04

Calculate the Result

Perform the subtraction: \(3 - 7 = -4\).

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Key Concepts

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

Subtraction
Subtraction is one of the most basic arithmetic operations. It represents the process of taking one quantity away from another.
In our example, we perform the subtraction operation with these steps:
  • Identify the terms: Here, the terms are 3 and 7.
  • Determine the operation: We're dealing with subtraction, indicated by the minus sign (-).
  • Apply the operation: Subtract 7 from 3, which means we're moving backwards on the number line.
This process helps us find the difference between two values. Subtraction can lead to positive, zero, or negative results.
Negative Numbers
Negative numbers are values less than zero. They are often represented with a minus sign (-).
In the context of subtraction, we often encounter negative numbers, especially when the number being subtracted is larger than the number from which we're subtracting.
For example, in our exercise:
When we subtract 7 from 3, we are left with -4.
Here, since 7 is greater than 3, our result is a negative number.
Negative numbers are crucial in mathematics as they help represent debts or values below a defined reference point.
Integers
Integers are a set of whole numbers that include positive numbers, negative numbers, and zero. No fractions or decimals are included.
Understanding integers is fundamental to grasping subtraction and other operations.
In our exercise, both 3 and 7 are integers, as well as the result -4.
When performing operations with integers:
  • The rules of arithmetic still apply.
  • Negative results are part of the integers set.
  • Zero remains neutral, neither positive nor negative.
Dealing with integers broadens our understanding of numbers and their relationships.

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