Learn Multiplication

Introduction for learn Multiplication:

In math, any two numbers can be manipulated by using operations. Basically, there are four different operators. Subtraction, addition, division and multiplication are the operations carried out. Here multiplication is an operator, which is denoted by (cross) × , (star) * . (dot) •. There are some basic rules for the multiplication of two numbers. In this article, we shall learn about multiplication operation. Also we shall learn to solve problems based on multiplication operation.

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Learn Multiplication Properties:

7 * 5 = 35

Here   7 is the multiplier

5 is the multiplicand

35 is the product.

For example:

3 * 5

Three times 5: 5 + 5 + 5 = 15.

Or five times 3: 3 + 3 + 3 + 3 +3 = 15

Properties of Multiplication:

There are several properties that are used while multiplying the given expressions.

1. Learn Distributive Property:

a * (b + c) = (a * b) + (a * c)

For example:

7 * (5 + 3) = (7 * 5) + (7 * 3)

Solution:

Left Handed Side  = 7 * (5 + 3)

= 7 * 8

= 56

Right Handed Side = (7 * 5) + (7 * 3)

= 35 + 21

= 56

Left Handed Side  = Right Handed Side

Hence the proof.

2. Learn Commutative Property:

a * b = b * a

For example:

7 * 5 = 5 * 7

Solution:

7 * 5 = 35

5 * 7 = 35

Both are same.

So 7 * 5 = 5 * 7

Hence the proof

3. Learn Associative Property:

a * (b * c) = (a * b) * c

For example:

7 * (5 * 3) = (7 * 5) * 3

Solution:

Left handed side:

7 * (5 * 3) = 7 * (15)

= 105

Right Handed side:

(7 * 5) * 3 = 35 * 3

= 105

Both are same.

So, 7 * (5 * 3) = (7 * 5) * 3.

Hence the proof

4. Learn Multiplicative Identity Property:

a * 1 = a

For example:

7 * 1 = 7

5 * 1 = 5

3 * 1 = 3

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Example Problems to learn Multiplication operations:


Example 1:

What is the Multiplication of 8 and 4.

Solution:

We can express the given problem as 8 * 4.

8 times 4 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32.

Or 4 times 8 = 8 + 8 + 8 + 8 = 32

Therefore the multiplication of 8 and 4 is 32.

Example 2:

What is the Multiplication of 9 and 3.

Solution:

We can express the given problem as 9 * 3.

9 times 3 = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 27.

Or 3 times 9 = 9 + 9 + 9 = 27

Therefore the multiplication of 8 and 4 is 27.