** **In mathematics, multiplication is one of the important and basic arithmetic operations. Multiplying integerâ€™s mean ** scaling a number** by another. Integer is nothing but using notational symbol represents numbers.

Basic properties of multiplication, such as** **associative, commutative, distributive, zero and multiplicative identity.

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To study multiplying integers, we have to know five basic properties such as** **associative, commutative, distributive, zero and multiplicative identity. These multiplication properties are described as below.

**Commutative property****Associative property****Multiplicative identity property****Distributive property****Zero property**

Commutative property:

Product of two numbers is same even we change their order.

That is, a x b = b x a. **Example****:** 5 x 4 = 4 x 5 = 20

**Associative Property:**

Product of three numbers is same even we change their order.

That is, (a x b) x c = a x (b x c). **Example****:** 5 x (4 x 3) = (5 x 4) x 3 = 60

**Identity Property****:**

This property states that if we multiply any number with one the result is number itself.

That is, a x 1 = a. One is the multiplicative identity**Example****:** 9 x 1 = 9.

**Distributive property:**

Multiplication of a number with the addition of two numbers is same as addition of two products.

That is, a x (b + c) =ab + ac.

**Example****:** 5 x (4 + 3) = (5 x 4) + (5 x 3).

= 20 + 15.

= 35

**Zero property:**

Any thing multiply with zero is zero. That is, a x 0 = 0.**Example****:** 7 x 0 = 0

Positive x Positive = **Positive**

Negative x Negative =**Positive**

Positive x Negative =** Negative**

Negative x Positive =** Negative**

The following examples are to study **multiplying integers with multiplication rule**

5 x 4 = 20

(-5) x (-4) = 20

5 x (-4) = (-20)

(-5) x 4 = (-20)

Below are the **multiplication methods:**

**Method 1:**

Multiplying integers of 345 x 6

**Solution:**

Here, 5 is at unit place, so we do 5 x 1 = 5 x 6 = 30

4 is at 10's place, so we do 4 x 10 = 40 x 6 = 240

3 is at 100's place, so we do 3 x 100 = 300 x 6 = 1800

The product result = 2070

**Method 2:**

Multiplying integers of 345 x 6**Solution:**

345

x 6

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3 0

2 4 0

1 8 0 0

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2 0 7 0

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