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Mathematical Properties

Mathematical Properties. 1.7-1.8. Warm - Up. 999 + 364 = (1000 +364) - 1 = 1363 Use a similar problem-solving strategy to compute the following. Show all of your work. 998 + 654 500-299 999+998. Finished early? Take out a colored writing utensil and homework. Staple homework in order.

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Mathematical Properties

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  1. Mathematical Properties 1.7-1.8

  2. Warm - Up 999 + 364 = (1000 +364) - 1 = 1363 Use a similar problem-solving strategy to compute the following. Show all of your work. • 998 + 654 • 500-299 • 999+998 • Finished early? • Take out a colored writing utensil and homework. Staple homework in order. • Help a neighbor with these problems

  3. 1.2 & 1.4 Homework CheckUsing 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) 33 – 8 * 3 ÷12

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

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

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

  7. Name this property! 7 ∙ 8 = 8 ∙ 7

  8. Name this property! (2+3)+4 = 2+(3+4)

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

  10. Name this property! (2)(3)(4) = (3)(2)(4)

  11. Name this property! (2+3) + 4 = (3+2) + 4

  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?

  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?

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