**Notes are icomplete, they do not contain the diagrams**
Method 1: use a number line
Example 1: use a number line to find each sum.
a) 8 + (-5)
b) (-1) + -4
Method 2: Use absolute values
Same Sign: add their absolute values
sum has same sign as the addends
Different Signs: subtract the lesser absolute value from the greater absolute value
sum has same sign as the number with the greater absolute value
Example 2: Find each sum
a) 6 + (-14)
b) (-2/7) + (-3/7)
Opposite Numbers: 2 numbers with the same absolute value
One is positive, one is negative
ex) 3 and -3
Opposite Numbers are additive inverses- two numbers whose sum is always zero
Opposite Numbers can be used to subtract rational numbers
To subtract a rational number, add its additive inverse
a - b = a + (-b)
8 - 15 = 8 + (-15) = -7
Example 3: Find each difference
a) 6 - 14
b) 8 - (-5)
Example 4: In the past year, a publishing company's stock went from $52.08 per share to $70.87 per share. Find the change in the price of stock.
Homework: p 76 # 3, 18-32E, 38-54E, 60-62, 68, 72, 76