Chapter 2: Q4. (page 72)

Use the distributive property to evaluate the expression.
$(3 - 14) (- 5)$

Short Answer

Expert verified

$(3 - 14) (- 5) = 55$

Step by step solution

Step-1 – What are real numbers?

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

Step-2 – Distributive Property of Multiplication

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

Distributive Property of Multiplication

Property: $a (b - c) = a \cdot b - a \cdot c$

Example: $12 (7 - 4) = 12 \cdot 7 - 12 \cdot 4 = 84 - 48 = 36$

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

Distributive Property of Multiplication

Property: $a (b - c) = a \cdot b - a \cdot c$

According to the above property, we can evaluate the expression:

$(3 - 14) (- 5) = 3 (- 5) - 14 (- 5) = - 15 + 70 = 55$

$(3 - 14) (- 5) = 55$

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!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use the distributive property to evaluate the expression.
$(3 - 14) (- 5)$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Use the distributive property to evaluate the expression.3 -14 (-5)

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Use the distributive property to evaluate the expression.
$(3 - 14) (- 5)$