Chapter 2: Q3. (page 73)

Evaluate the expression using the distributive property and mental math.
$3 (96)$

Short Answer

Expert verified

$3 (96) = 288$ .

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: $12 (3 + 4) = 12 \cdot 3 + 12 \cdot 4 = 36 + 48 = 84$

Step-3: Evaluate the expression using the distributive property and mental math.

We can write 96 as 90+ 6, to evaluate the expression 3(96), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

$\begin{array}{l} 3 (96) = 3 (90 + 6) = 3 \cdot 90 + 3 \cdot 6 = 270 + 18 = 288 \\ 3 (96) = 288 \end{array}$

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.

Evaluate the expression using the distributive property and mental math.
$3 (96)$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Evaluate the expression using the distributive property and mental math.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression using the distributive property and mental math.3 (96)

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Evaluate the expression using the distributive property and mental math.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression using the distributive property and mental math.
$3 (96)$