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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1:23 minutes

Problem 117

Textbook Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. (7.5-y)+0=7.5-y

Verified step by step guidance

Identify the expression given: \((7.5 - y) + 0 = 7.5 - y\).

Recognize that the expression involves adding zero to another expression.

Recall the property of addition that states adding zero to any number does not change the value of that number.

This property is known as the 'Additive Identity Property'.

Conclude that the statement illustrates the Additive Identity Property, where adding zero to \((7.5 - y)\) results in \((7.5 - y)\) itself.

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Key Concepts

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

Identity Property of Addition

The Identity Property of Addition states that when you add zero to any number, the result is the original number. In the expression (7.5 - y) + 0 = 7.5 - y, adding zero does not change the value of (7.5 - y), illustrating this property.

Real Numbers

Real numbers include all the numbers on the number line, encompassing rational numbers (like integers and fractions) and irrational numbers (like √2 and π). In the context of the question, it is important to recognize that the variables and constants involved are assumed to be real numbers, which ensures the validity of the operations performed.

Algebraic Expressions

Algebraic expressions are combinations of numbers, variables, and operations. The expression (7.5 - y) is an algebraic expression where 'y' is a variable. Understanding how to manipulate and simplify these expressions is crucial for identifying properties like the one illustrated in the statement.