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1. LESSON 2
OB J : S T U D E N T S WI L L I D E N T I F Y T H E OP E R A T ION S OF
A R I T HME T I C.

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)

6. MORE PRACTICE
Show two ways to simplify the expression.
(25 * 15) * 4
100 - 365

7. FIND THE VALUE OF X AND Y
6 + x = 30 4 + y = 10 x + 3 = 7
Y + 10 = 20 15 = x + 5 22 = 2 + y
3x = 30 2y = 10 20 = 5x 66 = 6y
10w = 100 4y = 12 35 = 7y 4 = 2x