M2L4- Adding Integers, "The Rules"

Name:_________________________________
M2L4
Date:_________
Accordino-Math 7
Period:________
Lesson 4: Addition of Integers- “THE RULES”
Bellringer
1) Match the term with their appropriate definition:
_________: Integer
a. The opposite of a number, Ex. 10, -10
_________: Additive Inverse
b. A statement that two ratios are equivalent
_________: Unit Rate
c. A positive or negative whole number including zero
_________: Proportion
d. The distance from zero on a number line, |−𝒙|
_________: Absolute Value
e. A ratio with a denominator equal to 1
2) Complete the following statement with a >, <, or =.
|−𝟒|
______ (−𝟐) + (−𝟐)
Name:_________________________________
M2L4
Accordino-Math 7
Date:_________
Period:________
Lesson 4: Addition of Integers- “THE RULES”
Exit Ticket
Complete each of the rules for adding integers below
Adding Integers
1) When adding two integers with the same sign ( ++ or --):
_________________________________________________________________________
_________________________________________________________________________
2) When adding two integers with different signs (+- or -+):
_________________________________________________________________________
_________________________________________________________________________
3) Find the sum of (-106) + (14)
Name:_________________________________
Accordino-Math 7
M2L4
Date:_________
Period:________
Lesson 4: Addition of Integers- “THE RULES”
Notes
Review:
Integer:___________________________________________________________________
Absolute Value: ____________________________________________________________
Ex)
The Additive Inverse:_________________________________________________________________
Ex)

When we add a number and its opposite we will _______________ get an answer of zero. This is called the
Additive Inverse of a number!!!
Let’s Talk about Signs!
1.
Write a number sentence to find the sum of the integers represented in the diagram below?
What were the signs on both of the integers?
What was the sign of the solution?
2.
Write a number sentence to find the sum of the integers represented in the diagram below?
What were the signs on both of the integers?
What was the sign of the solution?
Name:_________________________________
M2L4
Accordino-Math 7
3.
Date:_________
Period:________
Write a number sentence to find the sum of the integers represented in the diagram below?
What were the signs on both of the integers?
What was the sign of the solution?
4.
Write a number sentence to find the sum of the integers represented in the diagram below?
What were the signs on both of the integers?
What was the sign of the solution?
“THE RULES”
Adding Integers
With the same sign ( ++ or --) keep the sign and add absolute values of each integer
“SSA- Same Signs Add”
With different signs (+- or -+) Take sign of the larger absolute value and subtract absolute
values
“DSS- Different Signs Subtract”
Name:_________________________________
M2L4
Accordino-Math 7
Ex 1) Find the sum of (-12) + 9.
Ex 2) Find the sum of (-125) + (-116).
Ex 3) Find the sum of 125 + (-116) + 10.
You Try it!
Find the sum of each expression below using the rules for adding integers.
a.
−10 + (−7) =
b.
8 + (−16) =
c.
−12 + (65) =
d.
−105 + (−126) =
e.
105 + 126 + (−105)=
f.
105 + (−126) + (−100) + (−5) =
g.
9 + 11 + (−8) + (−20) + 4 =
Date:_________
Period:________
Name:_________________________________
M2L4
Date:_________
Accordino-Math 7
Period:________
Homework:
1. In each of the following a-h, Circle the integer with the greater absolute value.
a.
−1 + 2
e.
−11 + (−12)
b.
5 + (−9)
f.
−22 + 20
c.
−6 + 3
g.
8 + (−2)
d.
−11 + 1
h.
−1 + (−2)
2.
State whether the sum will be positive or negative. (Hint: Try thinking of each expression as a story problem…money
owed, temperature, etc.)
i. −4 + (−2)
________________________________
5 + 9
________________________________
iii. −6 + (−3)
________________________________
iv. 1 + (−11)
________________________________
v. 3 + (−5) + 7
________________________________
vi. −20 + 15
________________________________
ii.
3.
Find the sum for each of the expressions below using “The Rules”:
a.
6 + (-8) =
d. (-15) + (205) =
b.
(-17) +(-100) =
e. 19 + 1004 =
c.
(-18) + (19) + (-10) + (-9) =
f. (-101) + (-202) + (101) =