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
Word Problems on Addition and Subtraction of Whole Numbers
Multiplication Of Whole Numbers.
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
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.
Recent Articles
-
Worksheet on Money | Conversion of Money from Rupees to Paisa
Dec 03, 24 01:29 AM
Practice the questions given in the worksheet on money. This sheet provides different types of questions where students need to express the amount of money in short form and long form -
2nd Grade Money Worksheet | Conversion of Money | Word Problems
Dec 03, 24 01:19 AM
In 2nd grade money worksheet we will solve the problems on writing amount in words and figures, conversion of money and word problems on money. 1. Write T for true and F for false. (i) Rs. is written… -
Subtraction of Money | Subtraction with Conversion, without Conversion
Dec 02, 24 01:47 PM
In subtraction of money we will learn how to subtract the amounts of money involving rupees and paise to find the difference. We carryout subtraction with money the same way as in decimal numbers. Whi… -
Word Problems on Addition of Money |Money Word Problems|Money Addition
Dec 02, 24 01:26 PM
Let us consider some of the word problems on addition of money. We have solved the problems in both the methods i.e., with conversion into paise and without conversion into paise. Worked-out examples -
Addition of Money | Add The Amounts of Money Involving Rupees & Paisa
Nov 29, 24 01:26 AM
In addition of money we will learn how to add the amounts of money involving rupees and paisa together. We carryout with money the same way as in decimal numbers. While adding we need to follow that t…
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.