Multiplication Formula

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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 (.). 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 to itself ‘y’ number of times or vice versa.
The properties of multiplication are:

  • Commutative property
  • Associative property
  • Distributive property
  • Identity property
  • Zero property

What is Multiplication Formula?

From the above explanation, the P(A∩B) formula is:

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)

Solved 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.

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 basket)

= (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.

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).