Problem 1 Now solve these same subtraction... [FREE SOLUTION]

91影视

Painless Algebra

Lynette Long

$Math Studyset 91影视 Explanations$ Math

2 Edition

Chapter 2: Problem 1

Now solve these same subtraction problems. $$ 6-(-4) $$

Short Answer

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Step by step solution

Understanding the Problem

Before solving, recognize the subtraction of a negative number. For the problem given, 6 - (-4), notice the double negative sign.

Applying the Rule of Subtraction with Negatives

When subtracting a negative number, convert the double negative into a positive, changing 6 - (-4) to 6 + 4.

Perform the Addition

Solve the simplified problem: 6 + 4. Adding these two numbers results in 10.

Final Answer

The final result of 6 - (-4) is 10.

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Key Concepts

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

Double Negatives

Double negatives can seem tricky at first, but they are quite simple to understand with practice.
When you see a problem like 6 - (-4), recognize that the two negative signs can be transformed.
Instead of seeing them as separate negatives, think of them combined as a positive.
So, 6 - (-4) becomes 6 + 4.
This rule applies to any double negative situation. It's like reversing a reverse.
Double negatives bring us back to the positive.

Arithmetic Operations

Arithmetic operations are basic math functions that include addition, subtraction, multiplication, and division.
In problems involving subtraction of negative numbers, understanding how these operations interact is essential.
For the example 6 - (-4), we transformed the operation into an addition.
After that, it's a straightforward arithmetic task. Knowing these operations and how they relate is key to solving more complex math problems.

Integer Subtraction

Integer subtraction involves taking one whole number away from another.
When both numbers are positive, it's easy. But when negatives come into play, we need extra attention.
In problems like 6 - (-4), the subtraction of a negative is converted to an addition of a positive.
This changes the equation to 6 + 4. Understanding this conversion is crucial for correctly handling integer subtraction involving negative numbers.
By practicing, you'll get more comfortable with these types of problems.

Positive and Negative Numbers

Positive and negative numbers are on opposite sides of zero on the number line.
Positive numbers are greater than zero, while negative numbers are less than zero.
Handling them properly ensures correct solutions.
In our example, encountering -(-4) means we add a positive instead.
This maintains the balance in the equation.
Recognize that subtracting a negative increases the value. It鈥檚 like removing a debt, which effectively increases your total.

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91影视

Now solve these same subtraction problems. $$ 6-(-4) $$

Short Answer

Step by step solution

Understanding the Problem

Applying the Rule of Subtraction with Negatives

Perform the Addition

Final Answer

Key Concepts

Double Negatives

Arithmetic Operations

Integer Subtraction

Positive and Negative Numbers

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