Sum (+) of Integers
True or False
When adding, the number with largest absolute value determines if the answer will be negative or positive.
True.
When adding, the number with largest absolute value determines if the answer will be negative or positive.
(Subtracting as well)
What is the absolute value of |-48|?
|-48| = 48
Always positive. The distance from ZERO.
Adding Integers: A football team loses 5 yards on one play and then loses 8 yards on the next play. How many yards did they lose on the two plays?
-5 + (- 8)
Largest absolute value is (-) so answer is (-)
S.A/D.S: S:Same signs. A:Add. 5 + 8 =
Answer = -13
They lost 13 yards
What is the first step in solving a subtraction problem?
The first step in solving a subtraction problem:
1. Turn subtraction problem into an addition problem
Subtraction problem > Addition problem
What are opposites?
A negative number and its positive
-12 + 5 =
-12 + 5 =
Largest absolute value is (-) so answer is (-)
S.A/D.S: D:Different signs. S:Subtract. 12 - 5 =
Answer = -7
=-7
What is the absolute value of |92|?
Absolute value of |92|=
Distance from zero
Answer = 92
Adding Integers: You park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors. What floor do you get off the elevator?
-----(12th)
----(0 / Ground Floor)---
--(-3)---
Equation: -3 + 12
(+) Largest Absolute Value,
Different Signs = Subtract,Answer = 9, 9th floor
-9 - (5) =
-Change minus to plus, change last number to opposite.
-9 - ( 5) = -9 + ( -5) =
Largest Absolute Value is (-) therefore answer (-)
-Same sign / Add 9+5= 14, Answer = -14
What is absolute value?
The distance of a number away from zero
-1.6 + 1.7 =
-1.6 + 1.7 =
Largest absolute value is (+) so answer is (+)
S.A/D.S:D:Different signs.S:Subtract. 1.7 - 1.6 =
Answer = .1
What is the opposite value of -12?
opposite value of -12=
Answer = 12
Opposites keep the same number and has opposite sign
Adding Integers: Stephanie has $15 in the bank. She deposits 4 dollars into her account. Use an equation to represent this situation and find the sum.
(has $15) + (deposits $4) = find the sum
15 + 4 = 19
Answer = $19
1 - (-14) =
1 - (-14) =
-Change minus to plus, change last number to opposite. 1 + (+14)
Largest Absolute Value is (+) therefore answer(+)
-Same sign / Add 1 +14 = Answer is 15
=15
When you find a sum you are ________.
When you find the difference you are _____________.
Adding
Subtracting
When adding integers, what does S.A./D.S stand for?
When adding integers,
S.A./D.S. means
S: Same Signs - A: Add two absolute values
D: Different Signs - S: Subtract two absolute values
Absolute value -5 ____ Absolute Value -10
a. < Less than
b. > Greater than
c. equal to
Absolute value -5 ____ Absolute Value -10
5 < 10
Answer: < Less than
Subtracting Integers: You are 5 dollars in debt. You borrow 12 dollars more. What is the total amount of your debt?
(5 dollars in debt) + (borrow 12 dollars) = total amount
-5 + (-12). Answer (-) because largest absolute value (-). S.A/D.S: Different signs = Subtract.
12-5. Answer= -17. You owe 17 dollars
-14 + (14) =
Largest Absolute Value - same
14 and -14 are opposites = Answer = 0
Visual model: Use number line = Answer = 0
Subtracting a positive is the same as (equivalent) to
A) Adding a negative
B) adding a positive
C) subtracting a negative
Subtracting a positive 1 - (4) is the same as
Adding the a negative 1 + ( -4)
Answer is A