warm - up 999 + 364 = (1000 +364) - 1 = 1363 use a similar problem-solving strategy to compute the...
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Mathematical PropertiesTRANSCRIPT
Warm - Up
999 + 364 = (1000 +364) - 1 = 1363Use a similar problem-solving strategy to compute the following. Show all of your work.
1. 998 + 6542. 500-2993. 999+998
Finished early?• Take out a colored writing
utensil and homework. Staple homework in order.
• Help a neighbor with these problems
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
Mathematical Properties
1.7-1.8
Pre-Algebra PropertiesProperty
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
Pre-Algebra PropertiesProperty
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)
Pre-Algebra Properties
Property5. 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
Name this property!
7 ∙ 8 = 8 ∙ 7
Commutative Property of Multiplication
Name this property!
(2+3)+4 = 2+(3+4)
Associative Property of Addition
Name this property!
2(x+3) = 2x + 6
Distributive Property
Name this property!
(2)(3)(4) = (3)(2)(4)
Commutative Property of Multiplication
Name this property!
(2+3) + 4 = (3+2) + 4Commutative Property of Addition
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
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