This page explains the multiplication in first principles as repetition of a quantity, with examples in count or measure of quantities and in the number-line.

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`3` cars were given to `4` show rooms each.

The total number of cars given are `12`.

The problem is understood to be that of *repeated addition*.

`3` cars were given to the first show room, then to the second, then to the third, and then to the fourth. So `3` was *repeatedly added* `4` times to get the total.

Considering `3` cars given to `4` show rooms each. All the cars are shown in the figure. Counting the number of cars, the result is `12`.

There are `4` pencils, each of `3` centimeter long.

The combined length of the pencils is `12` centimeter.

The problem is understood to be that of *repeated addition*.

Length of one pencil is `3` centimeters. To get the combined length of `4` such pencils, the length is *repeatedly added* `4` times.

Considering `4` pencils, each of 3 centimeter long. The four pencils are placed side-by-side and the length measurement is taken from `0`. The measure at the end is `12`. The combined length is `12` centimeters.

The count or measure of a quantity can be repeatedly added or *multiplied*.

The *multiplication* results in count or measure of the combined quantity.

Multiplication `3xx4` in the number-line is given in the figure.

The value `3` is repeated `4` times to land in `12`. The result of the multiplication is `12`.

The word "multiplication" means: increase in quantity many times over.

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multiplication

**Multiplication - First Principles** : Two numbers are considered, each of which represents a count or measurement. One of the amount is repeated the number of times given by the second amount to form the result representing the collective amount from such repetition.

eg: `12 xx 3 = 36`

`12` is the multiplicand

`3` is the multiplier

`36` is the product

The word "multiplicand" means: the number or quantity that is repeatedly added in a multiplication.

*familiarize with the terminology *

multiplicand

The word "multiplier" means: the number of times a quantity is repeatedly added.

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multiplier

The word "product" means: the result of multiplication.

*familiarize with the terminology *

product

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