# Discover the Product utilizing Multiplication Property

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Find out how to discover the product utilizing multiplication property?

**1. Order property**

When two numbers are multiplied we get a product. When the locations of numbers are interchanged, their product stays the identical, i.e., 3 × 5 = 5 × 3 = 15; 10 × 2 = 2 × 10 = 20.

That is referred to as the order property for multiplication of numbers.

(i) 4 × 7 = 28 and seven × 4 = 28.

So, 4 × 7 = 7 × 4 = 28

The orders of 4 and seven are interchanged however product 28 stays the identical.

(ii) 6 × 9 = 54 and 9 × 6 = 54.

So, 6 × 9 = 9 × 6 = 54

The orders of 6 and 9 are interchanged however product 54 stays the identical.

3 × 4 = 12 Mary has 3 packets of 4 + 4 + 4 = 12 |
4 × 3 = 12 Terry has 4 packets of 3 + 3 + 3 + 3 = 12 |

**The product of two numbers doesn’t change even when the order is modified.**

**2. Multiplication Property of 1**

The product of any quantity and one is the quantity itself.

1 × 1 = 1, 3 × 1 = 3, 5 × 1 = 5, 7 × 1 = 7, 9 × 1 = 9, and so on.

Allow us to multiply 5 by 1

**The product of quantity
1 and every other quantity is the quantity itself.**

**3. Multiplication
property of zero.**

The product of any quantity and 0 is 0 (zero).

0 × 1 = 0 ones is 0 (0 = 0) = 1 × 0

0 × 2 = 0 twos are 0 (0 + 0 = 0) = 2 × 0

0 × 3 = 0 threes are 0 (0 + 0 + 0 = 0) = 3 × 0

0 × 4 = 0 4 occasions are 0 (0 + 0 + 0 + 0 = 0) = 4 × 0

0 × 5 = 0 5 occasions are 0 (0

+ 0 + 0 + 0 + 0 = 0) = 5 × 0

Thus, 0 × 1 = 0 × 2 = 0 × 3 = 0 × 4 = 0 × 5 = 0

9 × 0 = 0, 8 × 0 = 0, 7 × 0 = 0, 13 × 0 = 0, 19 × 0 = 0

Allow us to multiply 5 by

0.

5 × 0 means 5 teams

of 0 objects.

5 × 0 = 0

**The product of zero
and every other quantity is zero.**

Subsequently, to search out the product utilizing multiplication property it’s essential to know order property of multiplication, multiplication property of 1 and 0.

Questions and Solutions on Multiplication Properties:

**1. Fill within the blanks
utilizing the properties of multiplication.**

(i) 4 × 3 = ……… × 4

(ii) 8 × 1 = ………

(iii) 9 × 2 = 2 × ………

(iv) 7 × 5 = ……… × 7

(v) 4 × 0 = ………

(vi) 5 × 1 = ………

(vii) 1 × ……… = 0

(viii) 6 × 4 = 4 × ………

**Reply:**

**1. **(i) 3

(ii) 8

(iii) 9

(iv) 5

(v) 0

(vi) 5

(vii) 0

(viii) 6

**2. Match the image
with the multiplication reality.**

**Reply:**

**2. **(i) → 5

(ii) → 4

(iii) → 2

(iv) → 1

(v) → 3

**3. Draw teams of any form to match the proper reply. One has been completed for you.**

**4. Fill within the blanks. One has been completed for you.**

(i) |
7 × 2 = |
2 × 7 |
= 14 |

(ii) |
6 × 1 = |
1 × 6 |
= _____ |

(iii) |
5 × 3 = |
_____ × _____ |
= 15 |

(iv) |
4 × 5 = |
_____ × _____ |
= _____ |

(v) |
2 × 4 = |
_____ × 2 |
= _____ |

(vi) |
6 × 2 = |
_____ × 6 |
= _____ |

(vii) |
8 × 2 = |
_____ × _____ |
= _____ |

(viii) |
5 × 9 = |
_____ × _____ |
= _____ |

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