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# Multiplication Formula

The multiplication formula is used to multiply the two quantities. In arithmetic a method of finding the product of two or more values is called multiplication it is denoted by ‘×’ and also sometimes by a dot (.). If x is multiplied by y, then it means either x is added ‘y’ number of times or vice versa. The properties of multiplication are commutative property, associative property, distributive property, identity property, and zero property. Let us see the multiplication formulas along with the solved examples.

## What is Multiplication Formula?

The repeated addition of one number with respect to another is to create a situation of multiplication of two numbers. If x is multiplied by y, then it means either x is added ‘y’ number of times or vice versa. From the above explanation, the P(A∩B) formula is,

### Multiplication Formula:

The commutative property is (A × B = B × A)

The associative property is [A × (B × C) = (A × B) × C]

Distributive property is [A × (B + C) = (A × B) + (A × C)]

Identity property is (A × 1 = A)

Zero property is (A × 0 = 0)

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## Examples Using Multiplication Formula

**Example 1: **If Sam has 12 buckets and each bucket has 6 oranges. Then find the total number of oranges Sam has. Solve this by using the multiplication formula.

**Solution:**

To find: The total number of oranges Sam has.

the number of bucket = 12.

the number of oranges in each bucket = 6.

Using the multiplication formula,

Total number of oranges = (Number of buckets) × (Number of oranges in each bucket)

= (12 × 6 ) Oranges

= 72 Oranges.

**Answer: **72 is the total number of oranges Sam has in all buckets.

**Example 2: ** Evaluate 5 × (3 + 4) using the Distributive Property of Multiplication. Solve this by using the multiplication formula.

**Solution:**

Using the Multiplication Formula,

Distributive property is [A × (B + C) = (A × B) + (A × C)]

[5 × (3 + 4) = (5 × 3) + (5 × 4)]

= (5 × 3) + (5 × 4)

=15 + 20

= 35.

**Answer: **35 is the answer to 5 × (3 + 4).

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