Name that Property-Variables
6(2+4)=6(2)+6(4)
Distributive Property
List the Different types of numbers:
Hint: Whole Number... Etc
Real, Rational, Integer, Whole, Natural
2(1 + 4)
2*1 + 2*4 = 2 + 8
List the properties we learned in this section
10: Identity Property of Addition and of Multiplication, Commutative Property of Addition and of Multiplication, Associative Property of Addition and of Multiplication, Distributive Property, Inverse Property of Addition and of Multiplication, Multiplication Property of Zero
7 • 9 • 20 • h = 20 • 9 • h • 7
Commutative Property of Multiplication
True or False: An improper fraction can be a whole number or integer
True
x(3 + 5)
3x + 5x = 8x
What type of property deals with the ORDER of numbers or variables?
Commutative
This is the only difference between natural and whole numbers
zero
2g(h + 4p)
2gh + 8gp
What type of property deals with how numbers or variables are GROUPED?
Associative
A • (1/A) = 1
Inverse Property of Multiplication
Can be written as a fraction, as a decimal it is terminating or repeating
Rational Numbers
Rewrite 8(99) using the distributive property to make the problem easier.
8(100-1) = 8(100) - 8(1) = 800 - 8
Provide the justification (which properties) for the following steps: 6(8x + 4 + 0) = 48x + 24 + 0 = 48x + 24
Distributive Property, Identity Property of Addition
A • 1 = A
Identity Property of Multiplication
A • (B•C) = (A•C) • B **two properties**
Commutative & Associative Property of Multiplication
True or false:1) all rational numbers are integers
2) all whole numbers are natural numbers
3) all whole numbers are rational numbers
1) false
2) false
3) true
-b(4 - 8c + 0)
-4b + 8bc - 0 = -b + 8bc
We know that A * 0 = 0. If I said x * y = 0, what can we deduce about x and/or y?
That at least one of them has to be zero.