This page explains that taking away from a quantity, a part of a quantity is subtraction in first principles. Subtraction is also explained using number-line.

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There are `7` cars shown in the figure. Out of which `4` are taken away. The number of cars remaining is `3`.

`4` is taken away from `7` and the counting is carried out on the remaining cars from `1` to `3`. The resulting count is `3`.

Considering taking away `4` cars from a group of `7` cars. `4` is taken away from `7` and the counting is carried out on the remaining cars from `1` to `3`. The resulting count is `3`.

A pencil is 7 centimeters in length. A person used 4 centimeters of that pencil. The length of the remaining pencil is to be found.

The length of the pencil is `7` centimeters. The length used up is `4` centimeters. The remaining pencil is measured and the measure at the end is `3`. The remaining length is `3` centimeters.

A part of the count or measure of quantities can be taken-away or *subtracted*.

The *subtraction* results in count or measure of the remaining quantity.

Subtraction `7-4` is given in number line. The count is started from `7` and `4` backward-jumps are made to land in `3`. The result of the subtraction is `3`.

The word "subtraction" means: removing part from a quantity and measuring or counting the remaining quantity.

*familiarize with the terminology *

subtraction

**Subtraction - First Principles** : Two numbers are considered, each of which represents a count or measurement. From one amount represented by the first number, the amount represented by the second is taken away to form a result representing the remaining amount. The count or measurement of the remaining amount is the result of subtraction.

eg: `20-13 = 7`

`20` is the minuend

`13` is the subtrahend

`7` is the difference

The

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minuend

The

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subtrahend

The

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difference

*Solved Exercise Problem: *

What is the difference `4-2`?

- `2`
- `2`
- `6`

The answer is '`2`'.

*switch to interactive version*