Chapter 1: Q32. (page 15)

Name the property illustrated by each equation.
$(2 + 14) + 3 = 3 + (2 + 14)$

Short Answer

Expert verified

Name of the property illustrated isCommutative Addition.

Step by step solution

- Write properties of real numbers

Properties of real numbers are written in following table:

For any real numbers $a, b,$ and $c :$
Property	Addition	Multiplication
Commutative	$a + b = b + a$	$a \cdot b = b \cdot a$
Associative	$(a + b) + c = a + (b + c)$	$(a \cdot b) \cdot c = a \cdot (b \cdot c)$
Identity	$a + 0 = a = 0 + a$	$a \cdot 1 = a = 1 \cdot a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a \neq 0$ , then $a \cdot \frac{1}{a} = 1 = \frac{1}{a} \cdot a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Substitution in given values

Substitute $a$ for $(2 + 14)$ and b for 3 in given equation.

Now equation becomes $a + b = b + a$

- Identify the property

From the table of properties of real numbers, $a + b = b + a$ is the property of commutative in addition

Thus, commutative addition is illustrated by given equation.

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.

Name the property illustrated by each equation.
$(2 + 14) + 3 = 3 + (2 + 14)$

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Decision Maths

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.2+14+3=3+2+14

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Statistics

Decision Maths

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
$(2 + 14) + 3 = 3 + (2 + 14)$