Question

verify with associative property -7/9,2/-3 and-5/18 ​

Answer 1

Answer :

♦Associative property

• It tells that regardless we solve some numbers grouping them in different patterns the answer will be same.
• Associate property is of addition and multiplication.
• We will use associative property of multiplication to verify this.

Let's Solve :

{Solution 1}

= $(\dfrac{-7}{9} × \dfrac{-2}{3} ) × \dfrac{-5}{18}$

= $\dfrac{14}{27} × \dfrac{-5}{18}$

= $\dfrac{7}{27} × \dfrac{-5}{9}$

= $\dfrac{-35}{243}$

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{Solution 2}

= $(\dfrac{-5}{18} × \dfrac{-2}{3} ) × \dfrac{-7}{9}$

= $\dfrac{10}{54} × \dfrac{-7}{9}$

= $\dfrac{70}{486}$

= $\dfrac{-35}{243}$

Solution 1 = Solution 2

Hence Verified !!!

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