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Chapter 1: Problem 6

\(4+0\)

Short Answer

Expert verified
4

Step by step solution

01

Identify the Numbers

Look at the given equation, which is \(4 + 0\). Identify the numbers involved. Here, the numbers are 4 and 0.
02

Understand Addition

Recall the basic addition rule which states that any number added to 0 remains unchanged. Mathematically, \(a + 0 = a\).
03

Perform the Addition

Add the numbers identified in Step 1: \(4 + 0 = 4\).

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Key Concepts

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

addition rules
Basic addition involves combining two numbers to get their total. This is one of the fundamental operations in arithmetic. Here are some essential points to remember about addition rules:
  • Commutative Property: The order in which you add numbers doesn't affect the result. For instance, \(3 + 5 = 5 + 3\).
  • Associative Property: The way in which numbers are grouped does not change their sum. For example, in \(1 + (2 + 3) = (1 + 2) + 3\).
  • Identity Property: Adding zero to any number gives the number itself. This is known as the zero property of addition. For example, \(7 + 0 = 7\).
Knowing these rules helps in understanding and solving addition problems quickly. Practice using these properties to become more comfortable with addition.
identifying numbers
Before you can add numbers, you need to identify them correctly. This simple task forms the foundation for any arithmetic operation. To ensure accuracy:
  • Look at each number in the problem. In our example, these numbers are 4 and 0.
  • Understand what each number represents - in our case, 4 is a whole number, and 0 is the additive identity.
  • Clearly identify the numbers to avoid confusion. Misidentifying numbers can lead to incorrect answers.
Highlighting and ensuring that these steps are followed correctly is crucial. Identifying numbers accurately is the first step in solving any addition problem.
zero property of addition
The zero property of addition is a significant and straightforward rule. It states that any number plus zero remains the same. Mathematically, this is expressed as \(a + 0 = a\). Here are some points illustrating its importance:
  • This property simplifies calculations. For example, in problems like \(12 + 0\), you know immediately that the answer remains 12.
  • It's fundamental because it maintains the value of a number when zero is added to it.
  • It helps in understanding more complex arithmetic operations. By grasping zero's role, students can better comprehend other mathematical concepts.
Overall, recognizing and applying the zero property of addition can make arithmetic operations much more straightforward and intuitive.

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