Adding and Subtracting Real Numbers.  5 + 7 (Since both numbers are both positive just add)  5 + 7 = 12  -3 + (-6) (Since both numbers are negative.

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Adding and Subtracting Real Numbers

 (Since both numbers are both positive just add)  = 12  -3 + (-6) (Since both numbers are negative the answer is a larger negative)  -3 + (-6) = - 9

Adding and Subtracting Real Numbers  What do you do if opposite signs????? Whatever sign is the larger number, the answer will carry this sign!!!!!  7 + ( -10) Which Number is the larger number?  7 + (-10) Since the -10 is the larger number your answer will be negative  7 – 10 = -3 Because you know the back number is negative subtract  Which Number is the larger number?  Since the -12 is the larger number your answer will be negative  = -8 or rewrite = -8

Adding and Subtracting Real Numbers   = 4 or 11 – 7 = 4  (-11)  15 + (-11) = 4 or 15 – 11 = 4  (-3)  -5 + (-3) = -8   = - 8 or 7 – 15 = -8

Adding and Subtracting Real Numbers   = 4  - 7 – (-3) Every negative after 7 belongs to the 3.  One negative sign = a negative (-) sign  Two negative signs = a positive sign  - 7 – (-3) = = -4 or 3 -7 = -4

Adding and Subtracting Real Numbers  9 – (-6) Every negative after 9 belongs to the 6.  How many negative? Is the 6 positive or negative  9 - (-6) =  = 15  10 – 12  10 – 12 = -2

Adding and Subtracting Real Numbers  -14 – 5 Are both numbers negatives?  = -19  7 - (-12) How many negatives does 12 have????  The 12 has two – signs and becomes (positive) 12  = 19  -4 - (-8) How many negatives does 8 have????  Since signs are opposite, which number is larger?  = 4 or 8 – 4 = 4

Word Problems  Mark is flying in an airplane. The plane is cruising at 5700 feet above sea level. The plane hits turbulance and drops 750 feet before the pilot climbs 300 feet.  A. Write an equation showing the math to this problem.  B. What height is the plan now?

Word Problems  Mark is flying in an airplane. The plane is cruising at 5700 feet above sea level. The plane hits turbulance and drops 750 feet before the pilot climbs 300 feet.  A. Write an equation showing the math to this problem.   B. What height is the plan now?  = 5250 feet

Word Problem  Phil is in Minnesota. The temperature is 10 below zero. Over night, the temperature drops another 12 degrees before midnight, and raises 8 degrees before noon.  A. Write an equation showing the math to this problem.   B. What is the temperature now? 

Word Problem  Phil is in Minnesota. The temperature is 10 below zero. Over night, the temperature drops another 12 degrees before midnight, and raises 8 degrees before noon.  A. Write an equation showing the math to this problem.   B. What is the temperature now?  = -14  The temperature is now -14 degrees

Word Problem  Darnell is scuba diving. He is 400 feet below the his boat when he sees a shark. He swims 100 feet up into a school of fish and then swims 75 feet down to see a sea turtle.  A. Write an equation showing the math to this problem.   B. How many feet above or below the sea is Darnell? 

Word Problem  Darnell is scuba diving. He is 400 feet below the his boat when he sees a shark. He swims 100 feet up into a school of fish and then swims 75 feet down to see a sea turtle.  A. Write an equation showing the math to this problem.   B. How many feet above or below the sea is Darnell?   He is 375 feet below sea level or -375

Word Problem  Jose has $1250 in his check account. He pays $750 for rent, $125 for his cell phone, $85 for car insurance. He friend Candy pays him $75 for concert tickets.  A. Write an equation showing the math to this problem.  B. How much money does Jose have in his account? 

Word Problem  Jose has $1250 in his check account. He pays $750 for rent, $125 for his cell phone, $85 for car insurance. He friend Candy pays him $75 for concert tickets.  A. Write an equation showing the math to this problem.  1250 – 750 –  B. How much money does Jose have in his account?  1250 – 750 –  He has $365 in his account

Adding and Subtracting Real Numbers Practice Problems  (-7)   (-3)  (-7)   (-2)   (-6) - 8  (-12)  (-17)

Adding and Subtracting Real Numbers Practice Problems Answers  (-7) = 22  = -5  (-3) = -10  (-7) = 12  = -24  (-2) = 11  = -8  (-6) - 8 = 3  (-12) = 30  (-17) = 4