Online Pre-Algebra Tutoring: Properties of Multiplication

Home | Online Math Tutoring | Pre-Algebra Tutoring | Properties Of Multiplication

Math is everywhere, from reading the clock in the morning to setting the alarm before bed! Our math tutors understand this and therefore guide their students towards a higher understanding of the new terminologies and strategies. With eTutorWorld’s qualified expert math tutors, students learn math in innovative ways. Gift your child the eTutorWorld advantage and watch them master these valuable skills as also have the confidence required to succeed in grade school and beyond. Let your child learn from our highly experienced math tutors for all grades 3 to 12. Tutoring is not all we do – our tutors offer valuable assistance with homework help, assignment help, and test prep as also guided mentoring as needed. Connect with one today!

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

  1. Which property of multiplication is shown?
    7 × (3 + 8) = 7 ×3 + 7 × 8
  2. Which property of multiplication is shown?
    (12 × 3) ×4 = 12 × (3 × 4)
  3. Which property of multiplication is shown?
    1×986 = 986
  4.  Which property of multiplication is shown?
    14/3 × 3/14 =1
  5. Which property of multiplication is shown?
    453 ×89= 89×453
Answer Key
  1.  Distributive Property of Multiplication
  2. Associative Property of Multiplication
  3. Identity Property for Multiplication
  4. Multiplicative Inverse Property
  5. Commutative Property of Multiplication

Why Learn with eTutorWorld?

  • Meet your online expert tutor from the comfort and safety of your home
  • Schedule sessions at your convenient date and time
  • Access recordings of sessions for a month from session date
  • Receive a personalized practice sheet after every tutoring session
  • Call/chat us on our 24 X 7 Support (+1.269.763.4602) to resolve issues or ask questions
  • Experience the state-of-the-art technology by learning  over LIVE tutoring sessions
  • Get a 30 day Money Back Guarantee on our online tutoring services

No credit card, nor any obligation to purchase.

Schedule your FREE TRIAL  session to meet an expert LIVE  tutor & get all the help you want.

Online Tutoring and Worksheets Pricing 

Our Learning by Design methodology focuses exclusively on individual students. 

Our expert tutors are specially trained to identify and diagnose the needs and skills of each student and plan future tutoring lessons accordingly.

Know more about our Personalised Online Tutoring  Packs.

©2020 eTutorWorld           Terms of use            Privacy Policy            Site by Little Red Bird          

©2020 eTutorWorld
Terms of use
Privacy Policy
Site by Little Red Bird



♦ Coupon HALO10 for a 10% Discount on all Tutoring Packs

♦ Coupon TEST20 for a 20% Discount on all SCAT, SSAT, CogAT & Enrichment Online Practice Packs

You have Successfully Subscribed!