## Video and Examples

Learn two different methods for adding long strings of integers. $(-4)+(+9)+(+4)+(-2)=$

 When adding a long string of positives and negatives, such as $(-4)+(+9)+(+4)+(-2)$, there are two very common approaches: Method 1: Find the sum of all the positives, then find the sum of all the negatives, and then add the two answers together. Method 2: Find all the number pairs whose sum is zero. Then add whatever is left over. Both methods work, but depending on the numbers involved sometimes one method is easier than the other.

Example 1: $(-4)+(+9)+(+4)+(-2)=$

 Method 1: Collecting "like" signs Method 2: Collecting "opposite" signs Example 1a Example 1b

Example 2: $(+3)+(-5)+(-9)+(+5)+(-3)=$

 Method 1: Collecting "like" signs Method 2: Collecting "opposite" signs Example 2a Example 2b

# Self-Check

Question 1

Find the sum:

$(-3)+(-7)+(+4)+(+7)+(+3)=$

Question 2

Find the sum:

$(+13)+(-4)+(+7)+(-13)=$

$(-4)+(+9)+(+2)+(-5)=$