(628)-272-0788 info@etutorworld.com
Select Page

Online 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

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Learn more about Scientific Method and other important topics with 7th Grade Science Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules and convenience of learning from home.

Pricing for Online Tutoring

Tutoring Package Validity Grade (1-12), College
5 sessions 1 Month $124
1 session 1 Month $25
10 sessions 3 months $239
15 sessions 3 months $354
20 sessions 4 months $449
50 sessions 6 months $1049
100 sessions 12 months $2049
Which Pack is the best one for your Child ?
Take the quiz and get a personalized recommendation