1. Homework Review
Questions?

2. Metric Conversions

3. Metric Conversions
The Metric System of measurement is based on multiples of TEN. The 3 base units are: meters, liters, and grams. The 6 prefixes are: kilo (1000), hecto (100), deka (10), deci (.1), centi (.01), and milli (.001).

4. Stair Rule
To use the Stair-Step method, you will move the DECIMAL POINT the direction you have to move on the stairs.

5. Acronyms
King Henry Died While(units) Drinking Chocolate Milk Kiss Her Daily Because Divorce Costs Money Kids Hate Detention Because (Base) Detention Calls Mom

6. Stair Rule Examples
Ex 1: 5 dm = ________________ m

7. Stair Rule Examples
Ex 2: 38.2 dkg = ________________ cg

8. Stair Rule Examples
Ex 3: 2500 dL = ________________ kL

9. Properties of Equality
Properties are rules that allow you to balance, manipulate, and solve equations

10. Addition Property of Equality
Adding the same number to both sides of an equation does not change the equality of the equation.
If a = b, then a + c = b + c.
Ex: x=y, so x+2=y+2
If x – 7 = 14, what do you do ?

11. Subtraction Property of Equality
Subtracting the same number to both sides of an equation does not change the equality of the equation.
If a = b, then a – c = b – c.
Ex: x = y, so x – 4 = y – 4
If x + 7 = 14, what do you do?

12. Multiplication Property of Equality
Multiplying both sides of the equation by the same number, other than 0, does not change the equality of the equation.
If a = b, then ac = bc.
Ex: x = y, so 3x = 3y
If , what do you do?

13. Division Property of Equality
Dividing both sides of the equation by the same number, other than 0, does not change the equality of the equation.
If a = b, then a/c = b/c.
Ex: x = y, so x/7 = y/7
If 7x = 14, what do you do?

14. Other Properties

15. Commutative Property
Changing the order of addition or multiplication does not matter.
“Commutative” comes from “commute” or “move around”, so the Commutative Property is the one that refers to moving stuff around.

16. Commutative Property
Addition:
a + b = b + a
Ex: = 9 + 1

17. Commutative Property
Multiplication:
a ∙ b = b ∙ a
Ex: 8 ∙ 6 = 6 ∙ 8

18. Associative Property
The change in grouping of three or more terms/factors does not change their sum or product.
“Associative” comes from “associate” or “group”, so the Associative Property is the one that refers to grouping.

19. Associative Property Addition: a + (b + c) = (a + b) + c
Ex: 1 + (7 + 9) = (1 + 7) + 9

20. Associative Property Multiplication: a ∙ (b ∙ c) = (a ∙ b) ∙ c
Ex: 8 ∙ (3 ∙ 6) = (8 ∙ 3) ∙ 6

21. Distributive Property
The product of a number and a sum is equal to the sum of the individual products of terms.

22. Distributive Property
a ∙ (b + c) = a ∙ b + a ∙ c
Ex: 5 ∙ (x + 6) = 5 ∙ x + 5 ∙ 6

23. Properties of Equality Practice
Addition Prop. Of Eq.

24. Properties of Equality Practice
Division Prop. Of Eq.

25. Properties of Equality Practice
Division Prop. Of Eq.

26. Properties of Equality Practice
Addition Prop. Of Eq.

27. Properties of Equality Practice
2x = 2.6
Division Prop. Of Eq.

28. Homework
Worksheet