Algebraic Properties

What is the Distributive property of equality

• a.  If a=b, then  a can be substituted for b in any equation or expression
• b.  a(b+c)=ab+ac
• c  For any real number a, a=a .
• d.  If a=b, then b=a

Tags

CCSS.6.EE.A.3

What is the Symmetric property of equality

• a.  If a=b, then  a can be substituted for b in any equation or expression
• b.  a(b+c)=ab+ac
• c  For any real number a, a=a .
• d.  If a=b, then b=a

What is the Reflexive property of equality

• a.  If a=b, then  a can be substituted for b in any equation or expression
• b.  a(b+c)=ab+ac
• c  For any real number a, a=a .
• d.  If a=b, then b=a

What is the Transitive property of equality

• a.  If a=b, then  a can be substituted for b in any equation or expression
• b.  a(b+c)=ab+ac
• c  If a=b, and b=c, then a=c
• d.  If a=b, then b=a

Which is an example of Commutative Property of Addition?

• 7 + (6+3) = 7 + (3+6)
• 3x4 = 4x3
• 7 + 3 = 13 + 7
• 2 + (3 + 4) = (2 + 3) +4

Tags

CCSS.1.OA.B.3

5(0) = 0

• Multiplicative Property of Zero
• Addition Property of Addition
• HBO
• COW

This property tells us that when we change the order of numbers when we are adding, the answer does not change.  

• Commutative Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Tags

CCSS.6.EE.A.3

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

• 7 + 8 + 9
• 8 + ( 7 + 9)
• (7 + 8 ) + 9
• 7 + 10

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

1 ^_x 12 =12

• Identity Property of Multiplication
• Commutative Property of Multiplication
• Multiplication Property of One
• Distributive Property

Tags

CCSS.3.OA.B.5

2/3 x ____ = 1

• -2/3
• 3/2
• -3/2
• -1

Tags

CCSS.6.EE.B.7