StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q13.

Expert-verifiedFound in: Page 66

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Identify the property that the statement illustrates.**

$-\u200a\u200a4ab=-\u200a\u200a4ba$

The statement** $-\u200a\u200a4ab\u200a\u200a=\u200a\u200a-\u200a\u200a4ba$ **represents the Commutative property of Multiplication.

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

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

Commutative Property of Multiplication:

Property: $\text{a}\u200a\u200a\xb7\u200a\u200a\text{b}\u200a\u200a=\text{b}\u200a\u200a\xb7\u200a\u200a\text{a}\u200a\u200a$ or $\text{a}\u200a\u200a\xb7\u200a\u200a\text{b}\u200a\u200a\xb7\u200a\u200a\text{c}=\text{b}\u200a\u200a\xb7\u200a\u200a\text{c}\u200a\u200a\xb7\u200a\u200a\text{a}$

If you multiply two or three real numbers in any order, their product will always be the same.

Example: $\text{12}\u200a\u200a\xb7\u200a\u200a\text{4}\u200a\u200a=\text{4}\u200a\u200a\xb7\u200a\u200a\text{12}\u200a\u200a=\u200a\u200a48$ or $\text{5}\u200a\u200a\xb7\u200a\u200a\text{6}\u200a\u200a\xb7\u200a\u200a\text{4}=\text{6}\u200a\u200a\xb7\u200a\u200a\text{4}\u200a\u200a\xb7\u200a\u200a\text{5}\u200a\u200a\text{=}\u200a\u200a\text{120}$

Commutative property of Multiplication states that If you multiply two or three real numbers in any order, their product will always be the same.

Property: $\text{a}\u200a\u200a\xb7\u200a\u200a\text{b}\u200a\u200a=\text{b}\u200a\u200a\xb7\u200a\u200a\text{a}\u200a\u200a$

Example: $\text{12}\u200a\u200a\xb7\u200a\u200a\text{4}\u200a\u200a=\text{4}\u200a\u200a\xb7\u200a\u200a\text{12}\u200a\u200a=\u200a\u200a48$

So, the expression $-\u200a\u200a4ab\u200a\u200a=\u200a\u200a-\u200a\u200a4ba$ represents the Commutative Property of Multiplication.

94% of StudySmarter users get better grades.

Sign up for free