Multiplication Property of Equality
Properties of Equality
1. MULTIPLICATION PROPERTY: If A = B is true then A Â· C = B Â· C is true.
a) If x = 2 then x Â· 5 = 2 Â· 5
b) If x + 3 = 5 then (x + 3) Â· (- 3) = 5 Â· (- 3).
2. TRANSITIVE PROPERTY: If A = B and B = C is true then A = C is true.
The transitive property is also called the â€œsubstitutionâ€ property.
We sometimes say that â€œQuantities equal to the same thing are equal to each other.â€
a) If x = 7 Â· 5 and 7 Â· 5 = 35 then x = 35
b) If 2x = 4 Â· 9 and 4 Â· 9 = 36 then 2x = 36
We will also apply the Basic Number Properties. In particular,
Use the â€œInverseâ€ Property of Multiplication
This will be referred to by a â€œcodeâ€: Multiply Recip
Definition of Division:
To divide: → Change to MULTIPLY by the reciprocal
a Ã· b →