Problem 13 Subtract. $$ -9-(-3) $$... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 10: Problem 13

Subtract. $$ -9-(-3) $$

Short Answer

Expert verified

(-9) - ((-3)) = (-6).

Step by step solution

- Identify the Problem

The problem asks to subtract (-3) from (-9). The given expression is (-9) - (-3).

- Apply Subtraction of Negative Number Rule

Recall that subtracting a negative number is the same as adding its positive equivalent. Therefore, (-9) - (-3) becomes (-9) + 3.

- Perform the Addition

Now, simply add the numbers: (-9) + 3. Compute the sum: (-9) + 3 = (-6).

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Key Concepts

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

basic math

Basic math forms the foundation for understanding more complex mathematical concepts. It includes operations like addition, subtraction, multiplication, and division. In this exercise, we focus on subtraction and addition. When dealing with negative numbers, it's essential to understand these basic operations as they behave differently compared to positive numbers. For instance, subtracting a negative number is a bit tricky but manageable when broken down into steps.

addition rules

Addition rules help simplify seemingly complex problems. One critical rule is: subtracting a negative number is the same as adding the positive equivalent of that number. For example, $ -9 - (-3) $ might look challenging at first. By transforming the problem using the addition rule, it becomes $ -9 + 3 $. The calculation becomes straightforward. You start with -9 and add 3 to it. If you move 3 units to the right on a number line starting from -9, you end up at -6. The initial subtraction problem thus translates into an easier addition problem, helping you find the answer swiftly and accurately.

negative numbers

Understanding negative numbers is crucial for grasping more complex math concepts. Negative numbers are those less than zero, represented with a minus sign. In operations, they follow specific rules that are different from positive numbers. For example, when subtracting negative numbers, you add the absolute value of the number instead. This is why $ -9 - (-3) $ converts to $ -9 + 3 $. Negative numbers are also commonly used in real-life contexts, such as temperatures below freezing or debts in finances. Mastering the rules around negative numbers helps you interpret and solve various practical and theoretical problems accurately.

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91影视

Subtract. $$ -9-(-3) $$

Short Answer

Step by step solution

- Identify the Problem

- Apply Subtraction of Negative Number Rule

- Perform the Addition

Key Concepts

basic math

addition rules

negative numbers

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