Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:57 minutes

Problem 27

Textbook Question

Find each sum or difference. -6 + (-13)

Verified step by step guidance

Identify the operation: This problem involves addition of two negative numbers.

Recognize that adding a negative number is equivalent to subtracting its absolute value.

Calculate the absolute values: |-6| = 6 and |-13| = 13.

Add the absolute values: 6 + 13.

Since both numbers are negative, the result will also be negative.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Addition of Integers

Addition of integers involves combining two or more whole numbers to find their total. When adding a negative integer, such as -13, it is equivalent to subtracting its absolute value from the other number. In this case, -6 + (-13) can be thought of as -6 - 13.

Negative Numbers

Negative numbers are values less than zero, represented with a minus sign. They are used to indicate a deficit or a loss in various contexts, such as financial situations or temperature scales. Understanding how to work with negative numbers is crucial for performing operations like addition and subtraction correctly.

Properties of Addition

The properties of addition, including the associative and commutative properties, help simplify calculations. The commutative property states that the order of addition does not affect the sum, while the associative property allows grouping of numbers in any way. These properties can be useful when rearranging terms to make calculations easier.