Math 7 (Properties, Angles and Circles)

• Reflexive property

• Transitive property

• Distributive property

• Commutative property

The way 2 numbers are interchanged when adding does not change the sum.

Ex. 15 = 𝑎 + 5 then 𝑎 + 5 = 15

• Commutative property of addition

• Commutative property of subtraction

• Associative property of addition

• Associative property of subtraction

Changing the grouping of factors when multiplying does not change the product.

Ex. (5 • 4)(2) = 5 • (4 • 2)

• Commutative property of addition

• Commutative property of Multiplication

• Associative property of addition

• Associative property of Multiplication

If the first quantity is equal to the second quantity, and the second is equal to the third, then the first is equal to the third, and the three quantities are equal.

Ex. : if 10 + 5 = 8 + 7, and 8 + 7 = 3 + 12, then 10 + 5 = 3 + 12

• Additive Identity Property

• Multiplicative Identity Property

• Transitive property

• Reflexive property

If equal quantities are added to both sides of an equation, the result remains equal. Ex., if 𝑎 = 𝑏, then 𝑎 + 𝑐 = 𝑏 + 𝑐.

• Addition Property of Equality

• Distributive property

• Transitive property

• Addition property of inequality

If equal quantities are multiplied to both sides of an equation, the result remains equal.

Ex. , if 𝑎 = 𝑏 then 𝑎𝑐 = 𝑏𝑐.

• Multiplication property of equality

• Multiplication Inverse property

• Multiplicative Identity Property

• Multiplication property of inequality

The sum of any number and 0 is equal to that number.

• Addition property of equality

• Addition Inverse property

• Additive Identity Property

• Addition property of inequality

The product of any number and 1 is equal to that number.

• Multiplication property of equality

• Multiplication Inverse property

• Multiplicative Identity Property

• Multiplication property of inequality

Two numbers are called 𝑎𝑑𝑑𝑖𝑡𝑖𝑣𝑒 𝑖𝑛𝑣𝑒𝑟𝑠𝑒𝑠 or 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑠 if their sum is 0.

• Addition property of equality

• Addition Inverse property

• Additive Property

• Addition property of inequality

For every non-zero number 𝑎 𝑏 , where 𝑎 and 𝑏 is not equal to zero, there is exactly one number 𝑏 𝑎 such that

• Multiplication property of equality

• Multiplication Inverse property

• Multiplicative Identity Property

• Multiplication property of inequality