1) additive identity2) multiplicative identity3) multiplicative inverse4) reciprocal
Identity and Equality PropertiesIdentity and Equality Properties
Recognize the properties of identity and equality.
Use the properties of identity and equality.
Identity and Equality PropertiesIdentity and Equality Properties
The open sentence belowrepresents the change in rank of Oregon State from December 11to the final rank.
Identity and Equality PropertiesIdentity and Equality Properties
The open sentence belowrepresents the change in rank of Oregon State from December 11to the final rank.
11 Dec.
onRank
plus rankin
increase
equals season
forrank final
+
Identity and Equality PropertiesIdentity and Equality Properties
The open sentence belowrepresents the change in rank of Oregon State from December 11to the final rank.
11 Dec.
onRank
plus rankin
increase
equals season
forrank final
4 + r = 4
+
Identity and Equality PropertiesIdentity and Equality Properties
The open sentence belowrepresents the change in rank of Oregon State from December 11to the final rank.
11 Dec.
onRank
plus rankin
increase
equals season
forrank final
4 + r = 4
+
The solution of this equation is 0. Oregon State’s rank changed by 0 fromDecember 11 to the final rank.
Identity and Equality PropertiesIdentity and Equality Properties
The open sentence belowrepresents the change in rank of Oregon State from December 11to the final rank.
11 Dec.
onRank
plus rankin
increase
equals season
forrank final
4 + r = 4
+
The solution of this equation is 0. Oregon State’s rank changed by 0 fromDecember 11 to the final rank. In other words, 4 + 0 = 4.
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
a + 0 = 0 + a = ___.
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
a + 0 = 0 + a = ___.a
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
a + 0 = 0 + a = ___.a
7 + 0 = 0 + 7 = ___.
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
a + 0 = 0 + a = ___.a
7 + 0 = 0 + 7 = ___.7
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
a + 0 = 0 + a = ___.a
7 + 0 = 0 + 7 = ___.7
The sum of any number and 0 is equal to the number.
This is called the _______________.
Identity and Equality PropertiesIdentity and Equality Properties
For any number a, the sum of a and 0 is ___.a
a + 0 = 0 + a = ___.a
7 + 0 = 0 + 7 = ___.7
The sum of any number and 0 is equal to the number.
This is called the _______________.additive identity
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
77 n
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
77 n
The solution of the equation is 1.Since the product of any number
and 1 is equal to the number,1 is called the
_____________________
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
77 n
The solution of the equation is 1.Since the product of any number
and 1 is equal to the number,1 is called the
_____________________multiplicative identity
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
77 n 08 n
The solution of the equation is 1.Since the product of any number
and 1 is equal to the number,1 is called the
_____________________multiplicative identity
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
77 n 08 n
The solution of the equation is 1.Since the product of any number
and 1 is equal to the number,1 is called the
_____________________multiplicative identity
The solution of the equation is 0.The product of any number
and 0 is equal to 0.This is called the
_____________________
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
77 n 08 n
The solution of the equation is 1.Since the product of any number
and 1 is equal to the number,1 is called the
_____________________multiplicative identity
The solution of the equation is 0.The product of any number
and 0 is equal to 0.This is called the
_____________________Multiplicative Property
of Zero
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
1551
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
1551
Two numbers whose product is 1 are called
_____________________ or ____________.
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
1551
Two numbers whose product is 1 are called
_____________________ or ____________.multiplicative inverses reciprocals
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
1551
Two numbers whose product is 1 are called
_____________________ or ____________.multiplicative inverses reciprocals
51
is the multiplicative inverse (or reciprocal) of 5, and
Identity and Equality PropertiesIdentity and Equality Properties
There are also special properties associated with multiplication.
1551
Two numbers whose product is 1 are called
_____________________ or ____________.multiplicative inverses reciprocals
51
is the multiplicative inverse (or reciprocal) of 5, and
51
5 is the multiplicative inverse (or reciprocal) of
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1*
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1* 131*13
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1* 131*13
00* y
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1* 131*13
00* y 00*7
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1* 131*13
00* y 00*7
1
y
x
x
y
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1* 131*13
00* y 00*7
1
y
x
x
y1
1
2
2
1
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Multiplicative
Identity
Multiplicative
Property
of Zero
Multiplicative
Inverse
For any number a, theproduct of a and 1 is a.
For any number a, theproduct of a and 0 is 0.
1. is ab
and ba
ofproduct thesuch that ab
number oneexactly
is there,0b a, where
,ba
number any For
xx 1* 131*13
00* y 00*7
1
y
x
x
y1
1
2
2
1
17
3
3
7
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Reflexive
Symmetric
Any quantity is equalto itself.
If one quantity equals a second quantity, thenthe second quantityequals the first.
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Reflexive
Symmetric
Any quantity is equalto itself.
If one quantity equals a second quantity, thenthe second quantityequals the first.
For any number a,
a = a
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Reflexive
Symmetric
Any quantity is equalto itself.
If one quantity equals a second quantity, thenthe second quantityequals the first.
For any number a,
a = a 99
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Reflexive
Symmetric
Any quantity is equalto itself.
If one quantity equals a second quantity, thenthe second quantityequals the first.
For any number a,
a = a 99
For any numbers
a and b,
If a = b then b = a
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Reflexive
Symmetric
Any quantity is equalto itself.
If one quantity equals a second quantity, thenthe second quantityequals the first.
For any number a,
a = a 99
For any numbers
a and b,
If a = b then b = a
8311then
1183 If
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Transitive
Substitution
If one quantity equalsa second quantity, andthe second quantityequals a third quantity,then the first quantityequals the third quantity.
A quantity may be substituted for its equalin any expression.
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Transitive
Substitution
If one quantity equalsa second quantity, andthe second quantityequals a third quantity,then the first quantityequals the third quantity.
A quantity may be substituted for its equalin any expression.
For any numbers
a, b, and c,
If a = b and b = c,then a = c.
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Transitive
Substitution
If one quantity equalsa second quantity, andthe second quantityequals a third quantity,then the first quantityequals the third quantity.
A quantity may be substituted for its equalin any expression.
For any numbers
a, b, and c,
If a = b and b = c,then a = c.
If 8 = 5 + 3 and 5 + 3 = 6 + 2,
then 8 = 6 + 2.
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Transitive
Substitution
If one quantity equalsa second quantity, andthe second quantityequals a third quantity,then the first quantityequals the third quantity.
A quantity may be substituted for its equalin any expression.
For any numbers
a, b, and c,
If a = b and b = c,then a = c.
For any numbers
a and b,
If a = b then a may be
replaced by b in any expression.
If 8 = 5 + 3 and 5 + 3 = 6 + 2,
then 8 = 6 + 2.
Identity and Equality PropertiesIdentity and Equality Properties
Property Words Symbols Examples
Transitive
Substitution
If one quantity equalsa second quantity, andthe second quantityequals a third quantity,then the first quantityequals the third quantity.
A quantity may be substituted for its equalin any expression.
For any numbers
a, b, and c,
If a = b and b = c,then a = c.
For any numbers
a and b,
If a = b then a may be
replaced by b in any expression.
If 8 = 5 + 3 and 5 + 3 = 6 + 2,
then 8 = 6 + 2.
If n = 12,
then 3n = 36
Credits Credits
PowerPointcreated by
http://robertfant.com
Recommended