# Online Pre-Algebra Tutoring: Properties of Multiplication

Home >> Online Math Tutoring >> Pre-Algebra Tutoring >>

## Learn about Properties of Multiplication from Certified Online Pre-Algebra Tutor

There are five properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity, distributive properties and multiplicative Inverse Property.

**Commutative Property of Multiplication: ** The Commutative Property of Multiplication of Whole Numbers states that changing the order of the numbers being multiplied does not change the product.

**General Property: a×b = b×a**

**Associative Property of Multiplication: ** The Associative Property of Multiplication of Whole Numbers states that how the numbers being multiplied are grouped does not change the product.

**General Property: (a×b) c = a (b×c)**

**Identity Property for Multiplication: ** The Identity Property for Multiplication of Whole Numbers states that when a number is multiplied by one the result is the number itself; i.e., multiplication by one does not change the value of a number. One is called the multiplicative identity.

**General Property: 1 ∙ a = a ∙ 1 = a**

**Distributive Property of Multiplication: ** The Distributive Property of Multiplication states that multiplying a sum or difference, we may multiply each term of the sum or difference, and then add or subtract the partial products.

**General Property: a (b + c) = ab + ac or a (b – c) = ab – ac**

**Multiplicative Inverse Property: **A multiplicative inverse is a reciprocal. The multiplicative inverse of a is 1/a;

a/b is b/a and vice versa

a/b × b/a = 1 (where a and b are non zero)

#### Let’s understand with an example:

Which property of multiplication is shown?

6 × 8 = 8 × 6

This equation shows the commutative property. The order of the factors is changed.

6 × 8 = 8 × 6

#### Check Point

- Which property of multiplication is shown?

**7 × (3 + 8) = 7 ×3 + 7 × 8** - Which property of multiplication is shown?

**(12 × 3) ×4 = 12 × (3 × 4)** - Which property of multiplication is shown?

**1×986 = 986** - Which property of multiplication is shown?

**14/3 × 3/14 =1** - Which property of multiplication is shown?

**453 ×89= 89×453**

##### Answer Key

- Distributive Property of Multiplication
- Associative Property of Multiplication
- Identity Property for Multiplication
- Multiplicative Inverse Property
- Commutative Property of Multiplication

## Why eTutorWorld ?

- Learn at any time and from anywhere through unique personal lesson plans
- Experience the extensive use of online resources and state-of-the-art technology
- Enjoy one-on-one live personalized coaching
- Navigate your homework with ease and learn advanced topics

Find out how eTutorWorld can help you improve your Grades.

*No credit card is required, nor are you under any obligation to make a purchase. Just schedule the FREE TRIAL lesson to meet a tutor & get help on any topic you want!*

Our Learning by Design methodology focuses exclusively on the individual student. Our tutors are specially trained to identify and diagnose the needs and interests of each student and plan lessons accordingly.

Find more about our Personalized Online Tutoring Learning Packages.

+1-269-763-4602

+1-269-763-5024

Quick Links

Follow Us

#### Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. Come to eTutorWorld for Expert Tutors and best K-12 Online Tutoring Services in the comfort and safety of your home at an affordable cost. Find a tutor online for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. Get free printable math and science worksheets in pdf format and SCAT Practice Tests. Sign up for a Free Trial Lesson Today!

© 2018 eTutorWorld - Online Tutoring and Test Prep | All rights reserved