Total Product Concept

Introduction to total product concept:

In mathematics fundamental arithmetic operation (addition, subtraction, multiplication, and division) generally used in day-to-day life. Multiplication is known as product of number concept. Multiplication is generally expressed in `m xx n` or mn form. Multiplication of numbers are classify into types, they are, i) Multiplicand and ii) Multiplier. In this article, we are going to discuss about total product concept.
Total Product Concept - Example Problems:

Example 1:

Evaluate the total product value `3 xx 0.63`

Solution:

Multiply the given values,

`3 xx 0.63`         (2 decimal)

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9                                (3 Multiply by 3 = 9)

18                                  (6 Multiply by 3 = 18)

0

-----------

1.89         (2 decimal)

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So, the final answer is 1.89.

Example 2:

Find the solution for given problem

`1.6 xx 1.25`

Solution:

Multiply the given values,

`1.6`               (1 decimal places)

`xx 1.25`             (2 decimal place)

--------------

80                           (16 Multiply by 5 = 80)

32                              (16 Multiply by 2 = 32)

16

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`2.000`              (totally product values = 3)

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So, the final answer is `2.000` .

Example 3:

Find the solution for given problem

`2.5 xx 2.56`

Solution:

Multiply the given values,

`2.5`            (1 decimal places)

`xx 2.56`              (2 decimal place)

-----------------

150                           (25 Multiply by 6 = 150)

125                             (25 Multiply by 5 = 125)

50                              (25 Multiply by 2 = 50)

---------------

`6.400`                (totally product values = 3)

-----------------

So, the final answer is `6.400` .

Example 4:

Find the solution for given problem

`4.53 xx 5.9`

Solution:

Multiply the given values,

`4.53`                  (2 decimal places)

`xx 5.9`                     (1 decimal place)

-----------------

4077                                      (453 Multiply by 6 = 4077)

2265                                        (453 Multiply by 5 = 2265)

-------------

`26.727`                 (Totally product value = 3)

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Example 5:

Find the solution for given problem

`32.8 xx 1.76`

Solution:

Multiply the given values,

`32.8`                        (1 decimal places)

`xx 1.76`                        (2 decimal places)

-----------------

1968                                     (328 Multiply by 6 = 1968)

2296                                       (328 Multiply by 7 = 2296)

328

------------------

`57.728`                           (Totally product value = 3)

------------------

Therefore, the final answer is `57.728`

Example 6:

Find the solution for given problem

`43.8 xx 2.34`

Solution:

Multiply the given values,

`43.8`                    (1 decimal places)

`xx 2.34`                     (2 decimal place)

-----------------

1752                                          (438 Multiply by 4 = 1752)

1314                                             (438 Multiply by 3 = 1314)

876                                              (438 Multiply by 2 = 876)

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`102.492`                     (Totally product value = 3)

------------------

Therefore the final answer is `102.492`
Total Product Concept – Practice Problems:

Practice problem - 1:

Multiply the given values

`78.64 xx 4.2`

Practice problem - 2:

Multiply the given values

`65.22 xx 3.6`

Practice problem - 3:

Multiply the given values

`72.81 xx 3.01`