Adding Integers3.2

Objective: to add integers

Opposites: Two integers are opposites if they are represented on the number line by points that are the same distance from zero, but on opposite sides of zero. The sum of two opposites is zero.

Vocabulary:

Additive Inverse: Two integers that are opposites. Their sum is zero.

Vocabulary:

Zero Pairs: The result when an integer is paired with its opposite or additive inverse to equal zero.

Additive Inverse Property: The sum of any number and its additive inverse is zero.

Opposites:Complete the graphic organizer-

Hot and Cold 8 and -8

Adding Integers with the Same Sign:To add integers with the same sign, add their absolute value.The sum is:

- Positive if both integers are positive7 + 4 = 11

- Negative if both integers are negative-7 + (-4) = -11

Examples:

a) -12

b) -14

c) -30

Adding Integers with Different Signs:To add integers with the different signs, subtract their absolute value.The sum is:

- Positive if the positive integer’s absolute value is greater9 + (-4) = 5

- Negative if the negative integer’s absolute value is greater -9 + 4 = -5

Examples:

d) -1

e) 4

f) -2

g) 5

h) -20 + 6 = -14

-3 + (-6) + 4 = -5

Homework:

Homework: Pg. 207 - 208 #1 - 18 (all)

Pg. 210 #32 - 38 (evens)