Sum (+) of Integers
Find the sum
(+4)+(+20)
24
A football team loses 5 yards on one play and then loses 8 yards on the next play.
Model with an equation.
How many yards did they lose on the two plays?
-5 + -8 = -13
They lost 13 yards
3 - (-9) = ?
Rewrite as addition, then answer.
3 + 9 = 12
What are opposites?
A negative number and its positive
A positive plus a positive...
a) Will always be positive
b) Will sometimes be positive
c) Will never be positive
a) Will always be positive
|-48| = ?
48
-12 + 5 =
=-7
You park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors.
Model with an equation.
What floor do you get off the elevator?
-3 + 12 = 9
You get off at the 9th floor.
-19 - 5 = ?
Rewrite as addition, then solve.
-19 + (-5) = -24
What is absolute value?
The distance a number is away from zero.
A positive plus a negative will...
a) Always be negative
b) Sometimes be negative
c) Never be negative
b) Sometimes be negative
|92| = ?
92
-16 + (-17) =
-33
Stephanie has $50 in the bank. She withdraws $20 then deposits $30
Model with an equation.
What is the final balance of her account?
50 + (-20) + 30 = 60
She has $60 in her account.
70 - (-10) = ?
Rewrite as addition, then solve.
70 + 10 = 80
When do we use Keep, Change, Change and what does it mean to do?
We use when subtracting.
Keep the first number, change subtraction to addition, change the sign of the second number.
A negative plus a negative will...
a) Always be negative
b) Sometimes be negative
c) Never be negative
a) Always be negative
Compare using <, >, or =
-12 _____ |-12|
-12 < |-12|
5 + (-5) - 19 =
-19
You are 5 dollars in debt. You borrow 12 dollars more.
Model with an equation.
What is the total amount of your debt?
-5 + (-12) = -17
You owe 17 dollars.
-14 - 14 = ?
Rewrite as addition, then solve.
-14 + (-14) = -28
What is an Integer?
A whole number that can be negative or positive.
Subtracting a negative integer is the same as...
a) subtracting a positive
b) adding a negative
c) adding a positive
c) adding a positive
Compare using <, >, or =
-5 ____-10
-5 > -10
-8+(-4)+12
0
An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane descends 100 feet.
Model with an equation.
What is the airplane's current height?
2500 - 100 = 2400
The airplane is flying at 2400 ft.
-30 - (-5) = ?
Rewrite as addition, then solve.
-30 + 5 = -25
What is an additive inverse?
The same numbers that when added together equal 0 because they are opposites.
Which number is the closest to 0?
a) 3
b) -2
c) -5
b) -2
Put in order from least to greatest
|-2|, 10, -4, 3
-4, |-2|, 3, 10