Properties of Multiplication | Order Property |Multiplicative Property
Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
In this section, we shall learn some interesting properties of multiplication.
The properties of multiplication help us solve multiplication problems quickly and accurately. The main multiplication properties are the Commutative Property, Identity Property and Zero Property. Understanding these properties makes multiplication easier for students and helps build a strong foundation in mathematics.
1. Order Property of Multiplication or Commutative Property:
Look at the figures given below:
 |
 |
|
|
3 + 3 = 6 Thus, 3 two times is 6. So, 2 × 3 = 6 |
2 + 2 + 2 = 6 Thus, 2 three times is 6. So, 3 × 2 = 6 |
What do we conclude?
We conclude that when two numbers are multiplied they may be taken in any order. The result remains the same. This is called the order property.
More examples: 4 × 3 = 3 × 4, 5 × 6 = 6 × 5 etc.
2. Multiplicative Property of 1 or Identity Property:
Look at the figures given below:
1.
|
1 + 1 + 1 = 3 Thus, 1 three times is 3 So, 1 × 3 = 3 Hence, 1 × 3 = 3 × 1 |
Thus, 3 one is 3 So, 3 × 1 = 3 |
What do we conclude?
When a number is multiplied by 1, the answer is the number itself. This is called multiplicative property of 1.
More examples: 1 × 4 = 4, 1 × 8 = 8, 1 × 10 = 10 etc.
3. Multiplicative Property of 0 or Zero Property:
We know that: 0 + 0 + 0 + 0 = 0
Thus, 0 four times = 0
So, 0 × 4 = 0
By order property: 0 × 4 = 4 × 0
Hence, 0 × 4 = 4 × 0 = 0
Similarly, 0 + 0 + 0 + 0 + 0 = 0
Thus, 0 six times = 0
So, 0 × 6 = 0
But, 0 × 6 = 6 × 0
Hence, 0 × 6 = 6 × 0 = 0
What do we conclude?
We conclude that when any number is multiplied by zero, the product is always zero.
Basic Properties of Multiplication Video
Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
Worksheet on Properties of Multiplication:
1. Fill in the empty boxes by using the properties of multiplication:
(i) 4 × 1 = _____
(ii) 9 × 0 = _____
(iii) 2 × 7 = _____ × 2
(iv) 5 × 0 = _____
(v) 10 × 1 = _____
(vi) 0 × 8 = _____
(vii) 3 × 5 = _____ × 3
(viii) 8 × 1 = _____
(ix) 0 × 7 = 7 × _____
(x) _____ × 13 = 13 × 6
(xi) _____ × 9 = 0
(xii) 6 × _____ = 3 × 6
Answer:
1. (i) 1
(ii) 0
(iii) 7
(iv) 0
(v) 10
(vi) 0
(vii) 5
(viii) 8
(ix) 0
(x) 6
(xi) 0
(xii) 3
2nd Grade Math Practice
From 2-Digit Numbers Subtraction using Expanded Form 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.
