Problem 74 In the following exercises, simp... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 3: Problem 74

In the following exercises, simplify each expression. $$ 34+(-19) $$

Short Answer

Expert verified

Step by step solution

Identify the given expression

The expression given is: 34 + (-19)

Understand the addition of a negative number

When adding a negative number, it is equivalent to subtracting the positive counterpart of that number. Therefore, 34 + (-19) can be rewritten as 34 - 19.

Perform the subtraction

Subtract 19 from 34: 34 - 19 = 15

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Key Concepts

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

Addition of Negative Numbers

When working with addition and negative numbers, it is essential to understand a key concept. Adding a negative number is the same as subtracting its positive equivalent.
For example, the expression: 34 + (-19)
Can be rewritten as: 34 - 19
This can significantly simplify your calculations. When you see an addition sign followed by a negative number, think of it as subtraction. This simple shift in perspective can make arithmetic much more straightforward.

Basic Arithmetic Operations

Arithmetic operations such as addition and subtraction are the building blocks of mathematics. Let鈥檚 break down a fundamental aspect:
* **Addition**: Combining two numbers to get their total.
Example: 4 + 5 = 9
* **Subtraction**: Finding the difference between two numbers.
Example: 9 - 5 = 4
In our original exercise, the expression 34 + (-19) can be simplified using basic arithmetic operations. By understanding that adding a negative number is akin to subtraction, you can efficiently solve such expressions. This foundational knowledge helps in more complex calculations. Remember: Break down each step and simplify the process gradually.

Subtracting Integers

Subtraction is not merely taking away one number from another; it's about understanding the difference between them.
Let鈥檚 consider the expression: 34 - 19
Here鈥檚 how you can approach it:
1. Start from the number 34 on a number line.
2. Move 19 units to the left (since you are subtracting).
3. You will land on the number 15.
Therefore, 34 - 19 = 15
This is the result of our original problem once we recognized that addition of a negative number can be handled as subtraction. Practice this process with various numbers to build confidence.

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91影视

In the following exercises, simplify each expression. $$ 34+(-19) $$

Short Answer

Step by step solution

Identify the given expression

Understand the addition of a negative number

Perform the subtraction

Key Concepts

Addition of Negative Numbers

Basic Arithmetic Operations

Subtracting Integers

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