Mixed Problems
What is an integer?
A postive or negative number
-4 - 6
4 + 6 = -10
Bring the negative form -6
Axel dives 10 feet under water and then swims back up 3 feet. Where is his current location in the water?
-10 + 3= -7 ft
or He is 7 feet below the surface of the water
When two numbers have the same sign you treat it like...
Write/Include an example
Addition!
ex: -5-6
A submarine was at a depth of 300 feet below sea level. It rose 120 feet. What is its new depth?
New depth = −300+120=−180 feet below sea level
-42 + 15
What is
-27
What is the difference between -5 and -10
-5-(-10)=
-5+10= 5
Chris gets paid $100, BUT then must pay his cable bill which is $245. How much money does he have?
+100 - 245 =
He owes $145, or -$145
What does SSA stand for or mean?
If the numbers have the same sign, you add them after you have predicted the sign.
The temperature was −4 degrees in the morning. By noon, it had dropped another 6 degrees. What was the temperature at noon?
The temperature at noon is −10
-4-6
-16 + (-17)
What is
-33
115 - (-27)
115 +27 = 142
In Big Bear CA, The temperature is now -10 degrees. Since there is a heat wave in California, the temperature rose 25 degrees the next day. What is the current temperature after the heat wave?
-10+25 = 15
It is currently 15 degrees in Big Bear.
What is one of the first steps you do when doing an integer problem?
1) Look for "touching signs"
2) predict the sign of the answers
Predict the ending sign
-10375+9800
Negative
because the 10375 is "bigger number"
1030-(-200)
1030+200=
1230
-227 - (-320)
-227+320=+93
DSS
In a game, Bryan earned 15 points in the first round, in the 2nd round he lost 20 points for not showing sportmanship. In the final round he scored double what he did in the first round. What is his final score?
15 + (-20) + 30 =
Ended with 25 points
What is DSS?
Different Sign "Subtraction"
Take the sign of the # with the "bigger" number then subtract normally
In a video game, your score starts at 0. You lose 12 points, gain 25 points, and then lose 15 points. What is your final score?
Your final score is -2
Start at 0
-12
+25, then -15
-16+18+-17
-16+18(DSS)= 2
-17= -15
-10 - 11 - (-3)
-10 -11= -21
+ (3)=
-18
Genesis starts with $1000 in her bank account, she withdraws $750 to pay her rent. She lets a friend borrow $70, then buys new clothes for $120. She finds $100 cash on the street, and deposits $25 of the $100 she found. How much money is in her bank account?
She has $85 left in her account
Helpful tip
What is the "commutative property"?
When you reorganize/move numbers around to help you do a problem