C002 Compensation Laws
Motivation: Burn the past
![Image](https://stage.geogebra.org/resource/FXuK73Rz/14zBARMhRKFedVGS/material-FXuK73Rz.png)
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
![Image](https://stage.geogebra.org/resource/tHyBzloY/gQvIROf70DOokurF/material-tHyBzloY.png)
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?