1. Integers & Absolute Value

2. The set of whole numbers and their opposites.
Positive and negative whole numbers.
Zero is neither positive or negative.

3. A real number that is less than zero.
-Opposite of positive numbers
-Movement to the left on the number line.

4. The distance of a number on a number line from zero without considering which direction from zero the number lies.
- Symbol for absolute value
- Always equals a positive number

5. ALWAYS POSITIVE!
*If the absolute value has a numerical expression, solve first then find the absolute value.

6. − 𝟐+𝟒 𝟕 −𝟖 𝟓+𝟐 −𝟗 Examples 7 - 8 5 + 2 - 9 7 - 9 - 2 + 4 7 + (- 8)
Turn into addition
Order of operations
Numerical expression
7 - 9
Turn into addition
solve
7 + (- 8)
solve
7 + (- 9)
solve
Take the absolute value
Take the absolute value
− 𝟏 𝟐
Take the absolute value −𝟐 1
Final answer 2
Final answer 2
Final answer

8. # 1
# 2
# 3

9. What you add to a number to get zero.
Opposite
Sum must equal zero

11. *Understanding the properties of numbers will help you do mental math!

12. + + -

13. Find the sum of the absolute value.
4 + 8 =
=12 =
−3 + −7 =−10
4 + (-7) =
4 − − 7 =−3 =
−3 − 6 =3 =
−5+ −5 =−10
2 – (-4) =
2+4=6
Find the sum of the absolute value.
2. Keep the sign.
Find the difference of the absolute value.
Use the sign of the larger absolute value.
Change the subtraction to addition.
Change the sign of the second number.
Follow the rules for same or different sign.

15. Commutative
Associative
Multiplicative
Inverse
Identity

16. -2 ×6=
−2 × 6 =−12
-8 ×−4=
−8 × −4 =32
81 ÷9=
81 ÷ 9 =9
-18 ÷6=
−18 ÷ 6 =−3
Multiply the absolute value.
Same sign = positive answer
Different sign = negative answer
Divide the absolute value.
Same sign = positive answer
Different sign = negative answer

18. Independent Practice p. 237
Multiplying Integers
#1-8
Write the problems for #1-6
Independent Practice p. 247
Dividing Integers
#1-10, 13
Write the problems for #1-10