By Margaret L. Lial
The Lial sequence has helped millions of scholars reach developmental arithmetic via its pleasant writing sort, quite a few real looking examples, large challenge units, and whole supplementations package deal. in response to its confirmed tune checklist, this revision encompasses a new open layout, extra routines and functions, and extra gains to assist either scholars and teachers be triumphant.
Read or Download Algebra for College Students (5th Edition) (MathXL Tutorials on CD Series) PDF
Best elementary books
This quantity is the lawsuits of the Hiroshima Symposium on effortless Excitations in Quantum Fluids, which used to be hung on August 17 and 18, 1987, in Hiroshima, Japan, and used to be attended through thirty-two scientists from seven nations. Quantum fluids were the topic of excessive research by reason of their superfluid houses at very low temperatures.
This article introduces scholars to easy options of writing proofs and acquaints them with a few primary principles. The authors suppose that scholars utilizing this article have already taken classes within which they built the ability of utilizing effects and arguments that others have conceived. this article selections up the place the others left off -- it develops the scholars' skill to imagine mathematically and to differentiate mathematical pondering from wishful considering.
- Mathematical Palette
- Aha! Solutions (MAA Problem Book Series)
- Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
- Basic Notions of Algebra (Encyclopaedia of Mathematical Sciences)
- Problems in Elementary Physics
Extra info for Algebra for College Students (5th Edition) (MathXL Tutorials on CD Series)
46 ͑Ϫ4͒6 2. Ϫ47 ͑Ϫ4͒7 3. ͙16 is a positive number. 4. 3 ϩ 5 и 6 3 ϩ ͑5 и 6͒ 5. ͑Ϫ2͒ is a negative number. 6. ͑Ϫ2͒8 is a positive number. 7. The product of 8 positive factors and 8 negative factors is positive. 8. The product of 3 positive factors and 3 negative factors is positive. 7 9. In the exponential expression Ϫ35, Ϫ3 is the base. 11. Evaluate each exponential expression. MathXL Digital Video Tutor CD 1/Videotape 1 2 (a) 8 (c) ͑Ϫ8͒2 (b) Ϫ8 (d) Ϫ͑Ϫ8͒2 2 10. ͙a is positive for all positive numbers a.
The distributive property can also be written ab ϩ ac a͑b ϩ c͒ ba ϩ ca ͑b ϩ c͒a. and It can be extended to more than two numbers as well. a͑b ϩ c ϩ d͒ ab ϩ ac ϩ ad This property is important because it provides a way to rewrite a product a͑b ϩ c͒ as a sum ab ϩ ac, or a sum as a product. ” EXAMPLE 1 Using the Distributive Property Use the distributive property to rewrite each expression. (a) 3͑x ϩ y͒ Use the first form of the property to rewrite this product as a sum. 3͑x ϩ y͒ 3x ϩ 3y (b) Ϫ2͑5 ϩ k͒ Ϫ2͑5͒ ϩ ͑Ϫ2͒͑k͒ Ϫ10 Ϫ 2k (c) 4x ϩ 8x Use the second form of the property to rewrite this sum as a product.
An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 4 (b) y ϩ y 1y ϩ 1y ͑1 ϩ 1͒y 2y Properties of Real Numbers 35 Identity property Distributive property Add inside parentheses. (c) Ϫ͑m Ϫ 5n͒ Ϫ1͑m Ϫ 5n͒ Ϫ1͑m͒ ϩ ͑Ϫ1͒͑Ϫ5n͒ Ϫm ϩ 5n Identity property Distributive property Multiply. Now Try Exercises 21 and 23. Expressions such as 12m and 5n from Example 2 are examples of terms. A term is a number or the product of a number and one or more variables. Terms with exactly the same variables raised to exactly the same powers are called like terms.