Algebra Properties 1 4

Algebra Properties Notes 1 - 4

Rules, Rules, Rules……
Identity
and
Equality Properties

Addition
The additive identity property
a + 0 = 0 + a = a
(adding 0 to anything
doesn’t change what it is!)

Multiplication
Multiplication identity property
a(1) = 1(a) = a
(multiplying something by 1 doesn’t change what it is!)

BIG FAT ZERO!
Multiplicative Property
of Zero
a • 0 = 0 • a = 0
(0 times any number equals 0!)
“ Duh” property

INVERSE
Multiplicative Inverse Property:
Two numbers whose product is 1 are called multiplicative inverses or reciprocals
(like 1/5 and 5, or 2/3 and 3/2: you just flip the fraction!)

Properties of Equality (=)
Reflexive Property The reflexive property of equality says that any number equals itself. For any number a , a = a .
Symmetric Property The symmetric property of equality says that if one quantity equals a second quantity, then the second quantity also equals the first. For any numbers a and b , if
a = b , then b = a .

MORE Properties of Equality….
Transitive Property
For any numbers a , b , and c , if a = b and
b = c , then a = c .
Substitution
If a = b , then a may be replaced by b in any expression.

Your Turn…..
Name the multiplicative inverse of each number or variable:
3
2/7
4/x
2 ½
m

Pretty good….now try these:
Name the property or properties illustrated:
x • 1 = x
15/3 + 4 = 5 + 4
2/3 • 3/2 = 1
11 • 0 = 0
2 + 3 = 2 + 3
If 12 + 3 = 15 then 15 = 12 + 3
0 + m = m

Bet you can’t get this one!
Which property is illustrated?
If x + 5 = 9 and 9 = y, then x + 5 = y

Hmmmm…..
What would the multiplicative inverse of
__ 5 __
r – 7 look like?

Coming Soon….
To a classroom near you……
More Properties!!
(It will be a real scream!)

Algebra Properties 1 4

by Kelly Williams on Aug 28, 2007

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Algebra Properties 1 4 — Presentation Transcript