Properties of Multiplication


The properties of multiplication are discussed here:

1. The product of two whole numbers is a whole number.

For example:

(i) 7 × 5 = 35 (Closure Property)

(ii) 6 × 6 = 36 (Closure Property)





2. The product of two or three numbers does not change if the order of the numbers multiplied is changed.



For example:

(i) 9 × 5 = 5× 9(Commutative Property)

(ii) 7 ×6 = 6× 7(Commutative Property)

(iii) (15 × 16) × 17 = 15× (16 ×17) (Associative Property)

(iv) (11 × 13) × 7 = 11× (13 × 7) (Associative Property)





3. The product of 1 and any number is the number itself.

For example

(i) 175 × 1= 175

(ii) 854372 ×1= 854372





4. The product of zero and any number is zero.

For example:

(i) 654× 0 = 0


(ii) 1543×0 = 0





5. Distributive property.

For example:

(i) (18+ 15) × 5 = 18 × 5 + 15 × 5


(ii) (18 – 15) × 5= 18 × 5 – 15 × 5





6. When the multiplier is 10, 100, 1000 or 10000 etc, the product has as many zeroson the right side of the number being multiplied as the multiplier.

For example:

(i) 75 × 10 = 750

(ii) 234 × 100 = 23400

(iii) 1692 × 10000 = 16920000



To multiply a number by 2000, 3000 or 4000 and so on, we multiply the number by the digit in the thousands place of the multiplier and write the three zeros on the right of the product.

For example:

(i) 735 × 6000 = (735 × 6) × 1000

= (4410) × 1000

= 4410000

(ii) 2035 × 15000 = (2035 × 15) × 1000

= (30525) × 1000

= 30525000



● Operations On Whole Numbers

Addition Of Whole Numbers.

Word Problems on Addition and Subtraction of Whole Numbers

Subtraction Of Whole Numbers.

Multiplication Of Whole Numbers.

Properties Of Multiplication.

Division Of Whole Numbers.

Properties Of Division.

Word Problems on Multiplication and Division of Whole Numbers

Worksheet on Addition and Subtraction of Large Numbers

Worksheet on Multiplication and Division of Large Numbers







5th Grade Math Problems 

From Properties of Multiplication to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Adding 5-digit Numbers with Regrouping | 5-digit Addition |Addition

    Mar 18, 24 02:31 PM

    Adding 5-digit Numbers with Regrouping
    We will learn adding 5-digit numbers with regrouping. We have learnt the addition of 4-digit numbers with regrouping and now in the same way we will do addition of 5-digit numbers with regrouping. We…

    Read More

  2. Adding 4-digit Numbers with Regrouping | 4-digit Addition |Addition

    Mar 18, 24 12:19 PM

    Adding 4-digit Numbers with Regrouping
    We will learn adding 4-digit numbers with regrouping. Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in…

    Read More

  3. Worksheet on Adding 4-digit Numbers without Regrouping | Answers |Math

    Mar 16, 24 05:02 PM

    Missing Digits in Addition
    In worksheet on adding 4-digit numbers without regrouping we will solve the addition of 4-digit numbers without regrouping or without carrying, 4-digit vertical addition, arrange in columns and add an…

    Read More

  4. Adding 4-digit Numbers without Regrouping | 4-digit Addition |Addition

    Mar 15, 24 04:52 PM

    Adding 4-digit Numbers without Regrouping
    We will learn adding 4-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then add the digits under each column as shown in the following exa…

    Read More

  5. Addition of Three 3-Digit Numbers | With and With out Regrouping |Math

    Mar 15, 24 04:33 PM

    Addition of Three 3-Digit Numbers Without Regrouping
    Without regrouping: Adding three 3-digit numbers is same as adding two 3-digit numbers.

    Read More