Difference between associative and commutative property

The associative property of addition states that you can group the addends in different ways without changing the outcome. The commutative property of addition states that you can reorder the addends without changing the outcome.

Explanation:

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a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.