Question

Find the value of the following:

$908+1+\left(-8\right)+8+\left(-1\right)+809$

Answer 1

Defining the Associative Property of Addition of Integers: The result of the addition of more than two integers is always the same irrespective of the grouping of integers.

Using the Associative Property, we get:

$908+1+\left(-8\right)+8+\left(-1\right)+809=\left(908+809\right)+\left[\left(-8\right)+8\right]+\left[1+\left(-1\right)\right]$

$=1717+0+0$ (The sum of an integer and its opposite is zero)

$=1717$ (When $0$ is added to an integer, the result is the integer itself)

Therefore, the value is $1717$