Problem 25 Find each sum or difference. $... [FREE SOLUTION]

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Chapter 0: Problem 25

Find each sum or difference. $$ -6-5 $$

Short Answer

Expert verified

The result of $$-6 - 5$$ is $$-11$$.

Step by step solution

- Identify the problem

The problem is to find the difference between -6 and 5.

- Understand subtraction with negative numbers

When subtracting a number from a negative number, it's helpful to rewrite the expression for clarity. The expression $$-6 - 5$$ can be understood as adding the negative of 5 to -6.

- Rewrite the expression

Rewrite $$-6 - 5$$ as $$-6 + (-5)$$.

- Perform the addition

Add the two negative numbers together: $$-6 + (-5)$$ is the same as moving 5 more units to the left from -6 on the number line, which results in -11.

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Key Concepts

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

Negative Numbers

Negative numbers are numbers less than zero. They usually have a minus sign in front of them. For example, -1, -10, and -100 are all negative numbers. These numbers are often used to represent things like debt or temperatures below zero. When working with negative numbers, it's essential to understand that moving left on a number line results in a smaller value, while moving right results in a larger value. This concept is fundamental when performing operations like addition and subtraction involving negative numbers.

Subtraction

Subtraction is the process of taking one number away from another. When subtracting negative numbers, the process can sometimes be confusing, but a useful trick is to rewrite the expression. For instance, the problem $-6 - 5$ involves subtracting 5 from -6. This can be rewritten as $-6 + (-5)$. By rewriting it, we see that it becomes an addition problem, making it easier to solve. Hence, $-6 + (-5)$ means you move 5 units further left from -6, landing on -11.

Number Line

A number line is a straight line with numbers placed at equal intervals along its length. It extends infinitely in both directions, with positive numbers to the right of zero and negative numbers to the left. Using a number line can make it easier to visualize subtraction and addition, especially with negative numbers. For example, to solve $-6 + (-5)$, start at -6 and move 5 units to the left. This helps you see that the result is -11. Number lines are powerful tools for understanding the relative values and operations of numbers.

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91影视

Find each sum or difference. $$ -6-5 $$

Short Answer

Step by step solution

- Identify the problem

- Understand subtraction with negative numbers

- Rewrite the expression

- Perform the addition

Key Concepts

Negative Numbers

Subtraction

Number Line

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