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. How many cars were given in total?

- `3+4=7`
- `3+3+3+3=12`
- `3+3+3+3=12`

The answer is '`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. What is the combined length of the `4` pencils?

- `4+3=7`
- `3+3+3+3=12`
- `3+3+3+3=12`

The answer is '`12`'. 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.

What is the result of `3` repeatedly added `4` times? multiplication in number line is given in the figure.

- `34`
- `34`
- `3xx4=12`

The answer is '`12`'. Multiplication `3xx4` is given in number-line. The value `3` is repeated `4` times to land in `12`. The result of the multiplication is `12`.

Which of the following is a meaning for the word "multiplication"?

- increase in quantity many times over
- increase in quantity many times over
- many possibilities or choices

The answer is "increase in quantity many times over".

What is the term used to refer "increase in quantity many times over"?

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Spelling: Write the answer once

The answer is "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

Which of the following is a meaning for the word "multiplicand"?

- process of multiplication which is repeated addition
- the number or quantity that is repeatedly added in a multiplication
- the number or quantity that is repeatedly added in a multiplication

The answer is "the number or quantity that is repeatedly added in a multiplication".

What is the term used to refer "the number that is repeatedly added"?

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Spelling: Write the answer once

The answer is "multiplicand".

Which of the following is a meaning for the word "multiplier"?

- the number of times a quantity is repeatedly added
- the number of times a quantity is repeatedly added
- a tool that helps to hold an object firmly

The answer is "the number of times a quantity is repeatedly added".

What is the term used to refer "the number of times a quantity is repeatedly added"?

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Spelling: Write the answer once

The answer is "multiplier".

Which of the following is a meaning for the word "product"?

- the result of multiplication
- the result of multiplication
- professionally made passageway for air

The answer is "the result of multiplication".

What is the term used to refer "the result of multiplication"?

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Spelling: Write the answer once

The answer is "product".

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