Integer Operations
1) What’s the rule for adding integers? *If both addends are Positive: - Add together and the sum is positive (Ex = 12) *If both addends are Negative: - Add together and the sum is negative (Ex = -11) *If addends have different signs: -Subtract the absolute values, and -the sum will have the sign of the larger absolute value.(Ex = -3)
Solve the Problems = = (+3) + (+4) = = = =
2) Integer Subtraction Rule Subtracting a negative number is the same as adding a positive. Change the signs and add. 2 – (-7) is the same as 2 + (+7) = 9!
Here are some more examples. 12 – (-8) 12 + (+8) = – (-11) -3 + (+11) = 8
Examples: 1. 8 – – – – (-2) 5. 4 – (-8) – (-5) – (-4) = -5 = -8 = -11 = 3 = 12 = 2 = -3
When multiplying and dividing integers there are two rules: 1.When multiplying or dividing integers that have the SAME sign, the answer is POSITIVE. Positive x positive = positive Negative x negative = positive +7 x +12 = x –5 = & 4) Multiplying and Dividing Integers
2. When multiplying or dividing integers whose signs are DIFFERENT, the answer will always be NEGATIVE. Positive x negative = negative Negative x positive = negative +8 x –4 = x +7 = -35 Rules continued…
Let’s Practice! What sign would the answer have in front of the integer??? -5 x -7 = ???
POSITIVE!!!
How about… -6 x 9 = ??? What sign will be in front of the answer??
NEGATIVE!!!
Try this one! What sign will be in front of the answer??? -81 ÷ +9 = ???
NEGATIVE!!!
Practice in your notes….