Question

verify associative property of addition and associative property of multiplication for -2/3 ,5/4 , 7/12

Answer 1

Answer:

hence prooved. jammsnsbdvnshd hd

Answer 2

Answer:

The associative property of addition and associative property of multiplication for -2/3, 5/4, and 7/12 are equal.

Step-by-step explanation:

Given:

-2/3, 5/4, 7/12

To find:

associative property of addition and associative property of multiplication

Step 1

Let, -2/3, 5/4, 7/12

By using the associative property of multiplication

$-\frac{2}{3}\left(\frac{5}{4} \cdot \frac{7}{12}\right)=\left(-\frac{2}{3} \cdot \frac{5}{4}\right) \frac{7}{12}$

Simplifying both sides of the equation, we get  

$\left(-\frac{2}{3} \cdot \frac{5}{4}\right) \frac{7}{12}$

Simplifying the equation,

$-\frac{2}{3} \cdot \left(\frac{5}{4} \cdot \frac{7}{12}\right)$

$-\frac{35}{72}=-\frac{35}{72}$

Therefore, both sides are equal.

Step 2

Let, -2/3, 5/4, 7/12

By using the associative property of addition

$-\frac{2}{3}+\left(\frac{5}{4}+\frac{7}{12}\right)=\left(-\frac{2}{3}+\frac{5}{4}\right)+\frac{7}{12}$

Simplifying both sides of the equation, we get  

$-\frac{2}{3}+\left(\frac{5}{4}+\frac{7}{12}\right)$

Simplifying the equation,

$\left(-\frac{2}{3}+\frac{5}{4}\right)+\frac{7}{12}$

$\frac{7}{6}=\frac{7}{6}$

Therefore, both sides are equal.

Hence, verified.

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