Alg lesson 12
Download as PPTX, PDF0 likes364 views
This lesson introduces students to using properties of real numbers to simplify expressions. It discusses the inverse, identity, commutative, and associative properties of addition and multiplication. Examples are provided to demonstrate the identity property of multiplication and addition, the commutative properties of multiplication and addition, and the associative properties of multiplication and addition. The objective is for students to use these properties to simplify expressions involving real numbers.
1 of 6
Download to read offline
Alg lesson 12
- 1. LESSON 12 OB J : S T U D E N T S WI L L U S E T H E P ROP E R T I E S OF R E A L N UMB E R S TO S IMP L I F Y E X P R E S S I ON S .
- 2. NOTES • Inverse = the opposite ex. Inverse of 7 is -7 • Property of 0 for multiplication a x 0 = 0 • Identity property of multiplication (IPM) a x 1 = a • Identity property of addition (IPA) a + 0 = a • Commutative property of multiplication (CPM) ab=ba • Commutative property of addition (CPA) a+b = b+a • Associative property of multiplication (APM) (a x b)x c = a x(b x c) • Associative property of addition (APA) (a + b)+c = a+(b + c)
- 3. IDENTITY PROPERTY (IPM) 5 x 1 = 5 100 x 1 = 100 m x 1 = m (IPA) 10 + 0 = 10 6457 + 0 = 6457 y + 0 = y
- 4. COMMUTATIVE PROPERTY • (CPM) 5x7 = 7x5 400 x 20 = 20 x 400 xy = yx • (CPA) 3+4 = 4+3 756 + 2 = 2 + 756 r + z = z + r
- 5. ASSOCIATIVE PROPERTY • (APM) (5 x 3) x 7 = 5 x (3 x 7) 24 x (12 x 10) = (24 x 12) x 10 (w x g) x v = w x (g x v) • (APA) (5 + 3) + 7 = 5 +(3 + 7) 24 + (12 + 10) = (24 + 12) + 10 (w + g) + v = w + (g + v)