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ee SME xampte &: Find 57\ 77 JT tay J *| a9 SS . We can also solve it as. rahi : + — |+) — [4+ 7 (i) \21) 22 3.3f 28 6 5 oe eee FS Ty soot oe i tivity and associativity) a E (2) 3 + =| (by using commutativity 9+(-8)] [1245] — Me -| “ }s] ae (LCM of 7 and 21 is 21; LCM of 11 and 22 is 22) _ 1 (2) _ 22-147 _ -125 OL ADDT M62" AG2 Do you think the properties of commutativity and associativity made the ens toric once? . — yer a8 Example 2: Fin Solution: We have 5 -4 3 15 x 3 1 7 1 x x 5 7 16 4x3 e 9 dX ~Ra™ -(- 5x7 } 35 We can also do it as. aA 13 x—xX -12 ( x 15 ~35 24 15x (-14) 16x9 ~12x(-35)_1 35x24. 5 7 x 16 (S") And | a > — xX ——_— = — 4 6 8 ~ 235 eh $21 Therefore (2x2)-/ ee *) - Sofas AAS 4 6 2 8 8 fe} (Saeed Tins 4° 13° 6f “La*Z)*lG* = Distributivity of Multi- plication over Addition and Subtraction. — For all rational numbers a, b —andc, pee a(b+c)=ab+ac_ a(b-c) = ab—ac 14 7 ~ . EXERCISE 1. Name the property under multiplication used in each of the following. yj Ses , 13, -2_-2 -13 — xXj-= — = ~— = OS “Ss 5 @) 1 Pecan ae se =19 29 | (8) 709° * 9° 2. Tell what property allows you to compute ; x ( 6 x <] as ( f x 5] x 4 3 3 4° 3. The product of two rational numbers is always a 
