1. Warm - Up 999 + 364 = (1000 +364) - 1 = 1363 Use a similar problem-solving strategy to compute the following. Show all of your work. 1.998 + 654 2.500-299 3.999+998 Finished early? Take out a colored writing utensil and homework. Staple homework in order. Help a neighbor with these problems

2. 1.2 & 1.4 Homework Check Using your colored writing utensil, box in the following two problems to be graded by a neighbor. 1.2 # 57) 15 – b, b = 7 1.4 # 27) 3 3 – 8 * 3 ÷12

3. Mathematical Properties 1.7-1.8

4. Pre-Algebra Properties Property 1.Commutative Property of Addition 2.Commutative Property of Multiplication In words… You can add terms in any order You can multiply terms in any order In math… 2+3 = 3+2 3 ∙ 7 = 7 ∙ 3

5. Pre-Algebra Properties Property 3.Associative Property of Addition 4.Associative Property of Multiplication In words… Changing the grouping of terms does not change the sum Changing the grouping of terms does not change the product In math… (9+5)+6 = 9+(5+6) (5∙10) ∙ 3 = 5 ∙(10 ∙ 3)

6. Pre-Algebra Properties Property 5.Distributive Property In words… Multiply a number in front of parentheses to all terms inside the parentheses In math… 5(x+2) =5∙x + 5∙2 =5x+10

7. Name this property! 7 ∙ 8 = 8 ∙ 7 Commutative Property of Multiplication

8. Name this property! (2+3)+4 = 2+(3+4) Associative Property of Addition

9. Name this property! 2(x+3) = 2x + 6 Distributive Property

10. Name this property! (2)(3)(4) = (3)(2)(4) Commutative Property of Multiplication

11. Name this property! (2+3) + 4 = (3+2) + 4 Commutative Property of Addition

12. Using the Distributive Property Now let’s try to reverse the distributive property! 5n + 15 = ___ ( ___ + ___) Think! What number was distributed to give us 5n and 15? 5 n 3

13. Using the Distributive Property Now let’s try to reverse the distributive property! 7 + 14x = ___ ( ___ + ___) Think! What number was distributed to give us 7 and 14x? 7 1 2x