# C002 Compensation Laws

- Author:
- Herholdt Bezuidenhout

## Motivation: Burn the past

## Explaining the Compensative Law

## Work to memorise

**Compensative Law**If you round off a number by adding or subtracting a number and then compensate by adding or subtracting the opposite of that number without changing the result, the sum has compensative properties.

**Example:**367 + 154 = 367 + 3 + 154 - 3 (round the first number off to nearest 100 and compensate by subtracting 3 to the second number). = 370 + 151 = 521

**Example (careful with subtraction):**356 – 247 = 356 + 3 - 247 - 3 (round the second number off to nearest 100 and compensate by adding 3 to the first number). = 359 - 250 = 109

**Addition and subtraction are both compensative**

## Do activity

B2B Algebra
A01 General introduction
C002 Compensation Laws

## The compensative law apply to:

## The idea is to round off numbers to numbers that are easier to work with

## How can I deal with the following

546-129 I decide I would like to round the -129 off to -130 How do I do that?