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Ch. R - Algebra Review
Lial - Trigonometry 12th Edition
Lial12th EditionTrigonometryISBN: 9780136552161Not the one you use?Change textbook
All textbooksLial 12th EditionCh. R - Algebra ReviewProblem 15
Chapter 1, Problem 15

Find each sum or difference. See Example 1. 13 + (-4)

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1
Recognize that the problem involves adding a positive number and a negative number, which is equivalent to subtraction.
Rewrite the expression \(13 + (-4)\) as \(13 - 4\) to simplify the operation.
Subtract the smaller number from the larger number: calculate \(13 - 4\).
Determine the sign of the result based on the larger absolute value; since 13 is positive and greater than 4, the result will be positive.
Write the final expression for the sum or difference as the positive result obtained from the subtraction.

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Key Concepts

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

Integer Addition and Subtraction

This concept involves combining positive and negative whole numbers. Adding a negative number is equivalent to subtracting its absolute value, so 13 + (-4) means moving 4 units left from 13 on the number line.
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Adding and Subtracting Complex Numbers

Number Line Representation

A number line visually represents integers and their operations. Positive numbers lie to the right of zero, negatives to the left, and addition or subtraction corresponds to moving right or left, helping to understand sums like 13 + (-4).
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Introduction to Complex Numbers

Properties of Addition

Understanding that addition is commutative and associative helps simplify calculations. Recognizing that adding a negative number is the same as subtracting aids in correctly evaluating expressions such as 13 + (-4).
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Imaginary Roots with the Square Root Property
Related Practice
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Find each sum or difference. See Example 1. -15 + 6

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For the points P and Q, find (a) the distance d(P, Q) and (b) the coordinates of the midpoint M of line segment PQ. See Examples 1 and 2.

P(-6, -5), Q(6, 10)

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Find the domain of each rational expression. See Example 1. 12 / (x² + 5x + 6)

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List the elements in each set. See Example 1. {z|z is an integer less than or equal to 4}