Problem 30 Multiply. $$ -2.1(-4.2 x-4.3... [FREE SOLUTION]

91影视

Basic College Mathematics

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

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 11: Problem 30

Multiply. $$ -2.1(-4.2 x-4.3 y-2.2) $$

Short Answer

Expert verified

8.82x + 9.03y + 4.62

Step by step solution

- Distribute -2.1

To solve the expression -2.1(-4.2 x-4.3 y-2.2), distribute the -2.1 to each term inside the parentheses.

- Multiply the first term

Multiply -2.1 by -4.2x: -2.1 * (-4.2x) = 8.82x.

- Multiply the second term

Multiply -2.1 by -4.3y: -2.1 * (-4.3y) = 9.03y.

- Multiply the third term

Multiply -2.1 by -2.2: -2.1 * (-2.2) = 4.62.

- Combine the results

Combine all the products: The final expression is 8.82x + 9.03y + 4.62.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

multiplication

Multiplication is one of the basic operations in math and involves finding the product of numbers or algebraic expressions. When multiplying, you combine quantities in groups. For example, in the problem -2.1(-4.2x), -2.1 and -4.2x are multiplied together to find a new value: -2.1 * (-4.2x) = 8.82x. Here, each number inside the parentheses is multiplied by -2.1 separately. Multiplication follows the commutative property, meaning the order of numbers does not change the result: a * b = b * a. This principle also applies when multiplying algebraic expressions. Consider using visual aids or practice problems to reinforce learning.

negative numbers

Negative numbers are numbers less than zero and are represented with a minus sign (-). In multiplication, two negative numbers produce a positive product. For example, -2.1 * (-4.3y) gives 9.03y. When combining negative and positive numbers, the product is negative: -2.1 * 4.3y = -9.03y. Understanding the rules of negative numbers is crucial in algebra because they often appear in equations. A helpful trick is remembering: - Negative * Negative = Positive - Negative * Positive = Negative. Practice these rule by multiplying various combinations of negative and positive numbers.

algebraic expressions

Algebraic expressions combine numbers, variables (like x or y), and operators (like +, -, *, /). In the expression -2.1(-4.2x - 4.3y - 2.2), we have variables x and y combined with constants -4.2, -4.3, and -2.2. When multiplying to solve algebraic expressions, distribute each term inside the parentheses by the number outside. For example:-2.1 * (-4.2x) = 8.82x, -2.1 * (-4.3y) = 9.03y, -2.1 * (-2.2) = 4.62. Combining these results gives 8.82x + 9.03y + 4.62. This approach helps in simplifying and solving more complicated algebraic equations. Practice problems can strengthen comprehension.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Multiply. $$ -2.1(-4.2 x-4.3 y-2.2) $$

Short Answer

Step by step solution

- Distribute -2.1

- Multiply the first term

- Multiply the second term

- Multiply the third term

- Combine the results

Key Concepts

multiplication

negative numbers

algebraic expressions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Discrete Mathematics

Probability and Statistics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.