Question

Verify the following and write the property used (5/4+-1/4)+-3/2=5/4+(-1/2+-3/2)

Answer 1

Step-by-step explanation:

{5/4+(-1/2)}+(-3/2) = 5/4+{(-1/2)+(-3/2)}

(5/4-1/2)-3/2 = 5/4+(-1/2-3/2)

((5-2)/4)-3/2 = 5/4+((-1-3)/2)

3/4-3/2 = 5/4-4/2

(3-6)/4 = (5-8)/4

(-3)/4 = (-3)/4

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Answer 2

Verified

VerifiedThe given property used is Distributive property

GIVEN :-

$( \frac{5}{4} +( - \frac { 1}{4}) + ( - \frac{3}{2}) = \frac{ 5}{4} + ( - \frac{ 1}{2} + (- \frac{ 3}{2} ))$

TO FIND :-Verify Left hand side (LHS) = Right hand Side

SOLUTION:-

EVALUATING L.H.S

$( \frac{5}{4} +( - \frac { 1}{4}) + ( - \frac{3}{2}) \\ = \frac{5}{4} - \frac{1}{4} - \frac{3}{2}$

By taking LCM of the denominator 4,4,2 is 4

$\frac{5}{4} \times \frac{1}{1} - \frac{1}{4} \times \frac{1}{1} - \frac{3}{2} \times \frac{2}{2} \\ = \ \frac{5}{4} - \frac{1}{4} - \frac{6}{4} \\ = \frac{5 - 2 - 6}{4} \\ = - \frac{ 3}{4}$

Evaluating R.H.S

$\frac{ 5}{4} + ( - \frac{ 1}{2} + (- \frac{ 3}{2} )) \\ = \frac{5}{4} - \frac{1}{2} - \frac{3}{2}$

By taking LCM of the denominator 4,2,2 is 4

$= \frac{5}{4} \times \frac{1}{1} - \frac{1}{2} \times \frac{2}{2} - \frac{3}{2} \times \frac{2}{2} \\ = \frac{5}{4} - \frac{2}{4} - \frac{6}{4} \\ = \frac{5 - 2 - 6}{4}$

$= - \frac{ 3}{4}$

Therefore L.H.S = R.H.S

Hence, verified

The given property used is Distributive property

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