Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q18. (page 73)

Use the distributive property to evaluate the expression.

(12-7) (- 4)

Short Answer

Expert verified

(12  -  7  )  ( - 4)=  20.

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Distributive Property of Multiplication 

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: (b  -  c  )  (-a)=  b  ·  (-a ) -   c  ·  (- a ) 

Example: (8  -  4  )  (-2)=  8  ·  -2  -   4  ·  - 2  =  -  16  +  8  =  -  8

03

Step-3:  Use the distributive property to evaluate the expression.

We know that double negative is always positive. -   7  ·  - 4  =  +  28

Distributive Property of Multiplication

Property: (b  -  c  )  (-a)=  b  ·  (-a ) -   c  ·  (- a ) 

 (12  −  7  )  ( − 4)=  12 · ( − 4) −   (7 ) ·  ( − 4)  =  −48+28=20(12  −  7  )  ( − 4)=  20

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

For the given expression,identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

5+8w−6−w

Are 2(x+1)  and  2x+1 equivalent variable expressions? Explain.

Perform the indicated operation. (pp. 750–752)

3.8+7.1

Game Room You are building a game room adjacent to your living room. The widths of the two rooms must be the same. There are no restrictions on the game room’s length l.

a. Write an expression for the total area of both rooms by multiplying their common width by their combined length.

b. Write a second expression for the total area by finding the area of each room separately and then adding the two areas.

c. Show that the expressions from parts (a) and (b) are equivalent.

Evaluate the expression whenx  =  5  and  y  =  -  2.

33 xy
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free